Publications of Math Faculty 2013–2017

• Slimane Adjerid

– S. Adjerid and H. Temimi, Error analysis of a discontinuous Galerkinmethod for systems of higher-order differential equations, Applied Mathe-matics and Computations, 219, p. 4503-4525, 2013.

– Adjerid, S., and Mechai, I., A superconvergent DG method for hyperbolicproblems on tetrahedral meshes. Journal of Scientific Computing, 58 (1),203248, 2014.

– Adjerid, S,. Ben Romdhane, M. and Lin, T., High-order interior penaltyimmersed finite element method for second-order elliptic interface prob-lems, International Journal of Numerical Analysis & Modeling, 11 (3),541-566, 2014.

– Adjerid, S. and Moon, K., A Higher Order Immersed Discontinuous GalerkinFinite Element Method for the Acoustic Interface Problem. In Proceed-ings of Gulf International Conference on Applied Mathematics. Editors:A. Ansari and H. Temimi, Springer, pages 57-68, Springer, 2014.

– Ben Romdhane, M., Adjerid S. and Lin, T., Quadratic immersed finiteelement spaces for elliptic interface problems, In Proceedings of Gulf In-ternational Conference on Applied Mathematics. Editors: A. Ansari andH. Temimi, Springer, pages 171-178, Springer, 2014.

– Adjerid S and Baccouch M., A posteriori local discontinuous Galerkin errorestimation for two-dimensional convection-diffusion problems, Journal ofScientific Computing, 62 (2015), no. 2, 399430

– Adjerid, S. and Chaabane, N., An improved superconvergence error esti-mate for the LDG method, Applied Numerical Mathematics, Volume 98,December 2015, Pages 122-136

– Adjerid, S., Chaabane, N. and Lin, T, An immersed finite element methodfor Stokes interface problems, 2014, Computer Methods in Applied Me-chanics and Engineering, Volume 293, 15 August 2015, Pages 170-190

– Adjerid, S., Ben Romdhane, M. and Lin, T., Higher-degree immersed finiteelement spaces according to the actual interface, Computers and Mathe-matics with Applications, appeared online, 2017.

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– Adjerid, S., Guo, R. and Lin, T., High degree immersed finite elementspaces by a least-squares method, International Journal of Numerical Anal-ysis and Modeling, Volume 14(4-5), 2017, pages 604-626.

• Rachel Arnold

– Norton, A., & Arnold, R. (2017), Logical implication as the object of math-ematical induction. Proceedings of the Thirty-Ninth Annual Meeting ofthe North American Chapter of the International Group for the Psychologyof Mathematics Education. Indianapolis, IN.

– Arnold, R., & Norton, A. (2017), Mathematical actions, mathematical ob-jects, and mathematical induction. Proceedings of the Twentieth AnnualConference on Research in Undergraduate Mathematics Education. SanDiego, CA.

• Teffera Asfaw

– T . M. Asfaw, Topological degree and variational inequality theories forpseudomonotone perturbations of maximal monotone operators, ProQuestLLC, Dissertations, Ann Arbor, MI, (2013), pp. 163.

– T. M. Asfaw, A.G. Kartsatos: Variational inequalities for perturbationsof maximal monotone operators in reflexive Banach spaces, Tohoku Math.Jour., Tohoku Jour. Math., 66 (2014), 171-203.

– T. M. Asfaw, A.G.Kartsatos, New results for perturbations of locally de-fined single valued monotone type operators in separable Banach spaces,Adv. Math. Sci. Appl. 24 (2014), 1-10.

– T. M. Asfaw, New surjectivity results for perturbed weakly coercive op-erators of monotone type in reflexive Banach space, Nonlinear Anal. 113(2014), 209-229.

– T. M. Asfaw, New variational inequality and surjectivity theories for per-turbed noncoercive operators and application to nonlinear problems, Adv.Math. Sci. Appl. 24 (2014), 611-668.

– T. M. Asfaw, New developments on Nirenberg’s problem for compactperturbations of quasimonotone expansive mappings in reflexive Banachspaces, Commun. Math. Anal. 2 (2015), 54-75.

– T. M. Asfaw, Nocoercive perturbed densely defined operators and appli-cation to parabolic problems, Abstract and applied Analysis, Article ID357934 (2015), pp. 13.

– T. M. Asfaw, A new degree theory for pseudomonotone perturbations ofthe sum of two maximal monotone operators and applications to nonlinearproblems, J. Math. Anal. Appl. 434 (2016), 967-1006.

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– T. M. Asfaw, Maximality theorems on the sum of two maximal monotoneoperators and application to variational inequality problems, Abstract andApplied Analysis (2016), Article ID 7826475, 10 pages.

– T. M. Asfaw, A new topological degree theory for perturbations of demi-continuous operators and applications to nonlinear equations with non-monotone nonlinearities, Journal of Function Spaces (2016), Article ID397061, 15 pages.

– T. M. Asfaw, A degree theory for compact perturbations of monotone typeoperators in reflexive Banach spaces, Abstract and Applied Analysis Vol2017, Article ID 7236103, 13 pages.

• Teshome Balkew

– Teshome M.Balkew, SIR Model when S(t) is a Multi-Exponential Function.Book (An outgrowth of my Masers thesis), February 2014.

– Teshome Balkew and Negash Medhin, Stability and Control Analysis ofan HIV Treatment Model, NPSC 23 (2015) pp. 447-458.

– Teshome M.Balkew, Negash G.Medhin, Dynamic programming method forimpulsive control problems Applied to two HIV models, Communicationsin Applied Analysis 20 (2016), 489-521.

• Joseph Ball

– J.A. Ball and A. Kheifets, The inverse commutant lifting problem, II:Hellinger functional-model spaces, Complex Analysis and Operator Theory7 (2013), 873-907.

– J.A. Ball and M.D. Guerra Huaman, Test functions, Schur-Agler classesand transfer-function realizations: the matrix-valued setting, ComplexAnalysis and Operator Theory 7 (2013), 529-575.

– V. Bolotnikov and J.A. Ball, Canonical transfer-function realization forSchur multipliers on the Drury-Arveson space and models for commutingrow contractions, Indiana University Mathematics Journal 61 (2012), 665-716.

– J.A. Ball and Q. Fang, Nevanlinna-Pick interpolation via graph spaces andKrein-space geometry: a survey, in: Mathematical Methods in Systems,Optimization, and Control (Ed. M. Krstic, H. Dym, M. de Oliveira, andM. Putinar), pp. 43-71, OT 222 Birkauser, 2012.

– J.A. Ball and V. Bolotnikov, Interpolation in sub-Bergman spaces, in:Advances in Structured Operator Theory and Related Areas (Ed. M.A.Kaashoek, L. Rodman, and H.J. Woerdeman), pp. 17-39, OT 237, Birauser-Verlag, Basel, 2013.

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– J.A. Ball and M.D. Guerra Huaman, Convexity analysis and matrix-valuedSchur class over finitely connected planar domains, J. Operator Theory, 70(2013) no. 2, 531-571.

– J.A. Ball and V. Bolotnikov,Weighted Bergman spaces: shift-invariant sub-spaces and input/state/output linear systems, Integral Equations and Op-erator Theory, 76 (2013), 301-356.

– J. Agler, J.A. Ball, and J.E. McCarthy, The Takagi problem on the diskand bidisk, Acta Scientarium Mathematicarum (Szeged), 79 (2013), 63-78.

– J.A. Ball and V. Bolotnikov, A Beurling type theorem in weighted Bergmanspaces, Comptes Rendus Mathematique Ser. I, 351 (2013), 433-436.

– J.A. Ball and V. Bolotnikov, Weighted Hardy spaces: shift invariant andcoinvariant subspaces, linear systems and operator model theory, ActaScientiarum Mathematicarum (Szeged), 79 (2013), 623-686.

– J.A. Ball and V. Bolotnikov, A Beurling type theorem in weighted Bergmanspaces, Comptes Rendus Mathematique Ser. I 351 (2013), 433-436.

– J.A. Ball and D. Kaliuzhnyi-Verbovetskyi, Rational Cayley inner Herglotz-Agler functions: positivekernel decompositions and transfer-function real-izations, Linear Algebra and its Applications, 456 (2014), 138-156.

– J.A. Ball and V. Bolotnikov, System theory techniques for function theoryon Bergman spaces, Proceedings of the International Symposium of theMathematical Theory of Networks and System, Groningen, 2014.

– J.A. Ball, G. Groenewald, and S. ter Horst, Structured singular valuesversus diagonal scaling: the noncommutative setting, Proceedings of theInternational Symposium of the Mathematical Theory of Networks andSystem, Groningen, 2014.

– J.A. Ball, D. Kaliuzhnyi-Verbovetskyi, C. Sadosky, and V. Vinnikov, Scat-tering systems with several evolutions and formal reproducing kernel Hilbertspaces, Complex Analysis and Operator Theory, 9 (2015), 827–931.

– J.A. Ball, M. Kurula, O.J. Staffans, and H. Zwart, De Branges-Rovnyakrealizations of operator-valued Schur funcitons on the complex right half-plane, Complex Analysis and Operator Theory 9 (2015), 723–792.

– J.A. Ball and V. Bolotnikov, De Branges-Rovnyak spaces: Basics and The-ory (38 pages); De Branges-Rovnyak spaces and norm-constrained inter-polation (30 pages), in: Operator Theory, Springer on-line reference book(2015), ISBN: 978-3-0348-0692-3.

– J. A. Ball and D. S. Kaliuzhnyi-Verbovetskyi, Schur-Agler and Herglotz-Agler classes of functions: positive-kernel decompositions and transfer-function realizations. Adv. Math. 280 (2015), 121–187.

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– J. A. Ball, G. Groenewald, Gilbert, and S. ter Horst, Bounded real lemmaand structured singular value versus diagonal scaling: the free noncom-mutative setting. Multidimens. Syst. Signal Process. 27 (2016), no. 1,217–254.

– J. A. Ball, and B. Bolotnikov, On the expansive property of inner functionsin weighted Hardy spaces. Complex analysis and dynamical systems VI.Part 2, 47–61, Contemp. Math., 667, Israel Math. Conf. Proc., Amer.Math. Soc., Providence, RI, 2016.

– J. A. Ball, G. Marx, and V. Vinnikov, Noncommutative reproducing kernelHilbert spaces. J. Funct. Anal. 271 (2016), no. 7, 1844–1920.

– J. A. Ball, K. F. Clancey, Kevin F. and V. Vinnikov, Meromorphic matrixtrivializations of factors of automorphy over a Riemann surface. Oper.Matrices 10 (2016), no. 4, 785–828.

– J. A. Ball, and V.. Bolotnikov, Contractive multipliers from Hardy spaceto weighted Hardy space. Proc. Amer. Math. Soc. 145 (2017), no. 6,2411–2425.

• Christopher Beattie

– Interpolatory H∞ Model Reduction. (with G. Flagg and S. Gugercin),Systems and Control Letters, 62(7), pp.567-574, (2013)

– Interpolatory Weighted-H2 Model Reduction. (with B. Anic, S. Gugercin,and A.C. Antoulas.) Automatica, 49(5), pp.1275-1280, (2013)

– U. Baur, C. Beattie, and P. Benner. “Mapping parameters across sys-tem boundaries: parameterized model reduction with low rank variabilityin dynamics.” Proceedings of Applied Mathematics and Mechanics 14.1(2014): pp19-22. (DOI: 10.1002/pamm.201410006)

– Near-optimal frequency-weighted interpolatory model reduction. (with T.Breiten and S. Gugercin), Systems and Control Letters, 78, pp. 818 (2015)

– Nonlinear Parametric Inversion using Interpolatory Model Reduction, (withE. de Sturler, S. Gugercin, M. Kilmer, S. Chaturantabut, and M. O’Connell),SIAM J. on Scientific Computing, 37(3), pp. B495B517 (2015).

– Quadrature-Based Vector Fitting For Discretized H2 Approximation, (withZ. Drmac and S. Gugercin), SIAM J. on Scientific Computing, 37(2),pp.A625–A652 (2015).

– Vector Fitting for Matrix-valued Rational Approximation, (with Z. Dr-mac and S. Gugercin), SIAM Journal on Scientific Computing, 37(5), pp.A2151-S626 (2015).

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– Comparison of the adjoint and adjoint-free 4dVar assimilation of the hy-drographic and velocity observations in the Adriatic Sea (with Max Yarem-chuk, Paul Martin, and Andrey Koch), Ocean Modeling, 97, pp. 129-140(2016)

– Structure-Preserving Model Reduction for Nonlinear Port-Hamiltonian Sys-tems (with S. Chaturantabut and S. Gugercin), SIAM J. on ScientificComputing, 38 (5), pp. B837-B865 (2016).

– K. Sinani, S. Gugercin, and C. Beattie. ”A Structure-preserving ModelReduction Algorithm for Dynamical Systems with Nonlinear FrequencyDependence.” Proceedings of the 6th IFAC Symposium on System Struc-ture and Control SSSC 2016. (2016)

– I. Pontes Duff, S. Gugercin, C. Beattie, C. Poussot-Vassal, C. Seren. ”H2-optimality conditions for reduced time-delay systems of dimension one.”Proceedings of the 13th IFAC Workshop on Time Delay Systems TDS,2016. (2016)

– Model reduction for systems with inhomogeneous initial conditions (withS. Gugercin and V. Mehrmann), Systems & Control Letters 99 pp. 99-106(2017).

– A hybrid approach to generating search subspaces in dynamically con-strained 4-dimensional data assimilation. (with M. Yaremchuk and P.Martin) (2017). Ocean Modelling, 117, pp. 41-51. (2017)

– Linear time-periodic dynamical systems: an H2 analysis and a model re-duction framework. (with C. Magruder and S. Gugercin). Mathematicaland Computer Modelling of Dynamical Systems, pp. 1-24. (2017)

– M. Yaremchuk, P. Martin, G. Panteleev, C. Beattie, and A. Koch. Adjoint-free 4D variational data assimilation into regional models. Book chapter inData Assimilation for Atmospheric, Oceanic and Hydrologic Applications(Vol. III) pp. 83-114. Springer (2017).

– C. Beattie and S. Gugercin. Model Reduction by Rational Interpolation.Book chapter in Model Reduction and Approximation for Complex Sys-tems, edited by P. Benner, A. Cohen, M. Ohlberger, and K. Willcox, SIAM,Philadelphia (2017).

• Jeffrey Borggaard

– Using Dominant Modes for Optimal Feedback Control of AerodynamicForces (with I. Akhtar, J. Burns and M. Naqvi), Journal of AerospaceEngineering, Vol. 227, pages 1859–1869 (2013).

– Sensitivity and Uncertainty Quantification of Random Distributed Param-eter Systems (with V. Leite Nunes and H.-W. van Wyk), Mathematics inEngineering, Science and Aerospace, Vol. 4, No. 2, pages 117–129 (2013).

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– Using Frechet Sensitivity Analysis to Interrogate Distributed Parametersin Random Systems, (with V. Leite Nunes and H.-W. van Wyk), in Pro-ceedings of the 2013 American Control Conference, Paper Number MoA14.4,June (2013).

– Adjoint and Truncation Error Based Adaptation for 1D Finite VolumeSchemes, (with J. M. Derlaga and C. J. Roy), in Proceedings of the 21stAIAA Computational Fluid Dynamics Conference, AIAA Paper Number2013–2865, July (2013).

– Finite Volume Solution Reconstruction Methods for Truncation Error Esti-mation, (with T. S. Phillips, J. M. Derlaga, and C. J. Roy), in Proceedingsof the 21st AIAA Computational Fluid Dynamics Conference, AIAA PaperNumber 2013–3090, July (2013).

– Error Transport Equation Boundary Conditions for the Euler and Navier-Stokes Equations, (with T. S. Phillips and C. J. Roy), in Proceedings of the52nd AIAA Aerospace Sciences Meeting, AIAA Paper Number 2014–1432,January (2014).

– A New Zonation Algorithm with Parameter Estimation Using HydraulicHead and Subsidence Observations (with M. Zhang, T. Burbey, and V.Leite Nunes), Groundwater, Vol. 52, No. 4, pages 514-524 (2014).

– Basis Selection and Closure for POD Models of Convection DominatedBoussinesq Flows, (with O. San), in Proceedings of the 21st InternationalSymposium on Mathematical Theory of Networks and Systems, Gronin-gen, The Netherlands, Paper MoA05.4, pages 132-139, July (2014).

– A Reduced Order Model of the Indoor-Air Environment for Energy Effi-cient Building Studies, (with S. Ben Ayed and E. M. Cliff), in Proceedingsof the 19th IFAC World Congress, Cape Town, South Africa, pages 612-619, August (2014).

– Parametric Reduced Order Models Using Adaptive Sampling and Inter-polation, (with K. R. Pond and L. Zietsman), in Proceedings of the 19thIFAC World Congress, Cape Town, South Africa, pages 7773-7778, August(2014).

– Compensators via H2-based Model Reduction and Proper Orthogonal De-composition, (with S. Gugercin and L. Zietsman), in Proceedings of the19th IFAC World Congress, Cape Town, South Africa, pages 7780-7784,August (2014).

– Development of Control Benefit Evaluation Tool for Small CommercialBuildings, (with D. Kim, E. Cliff, and J. E. Braun), in Proceedings ofthe 2014 ASHRAE/IBPSA-USA Building Simulation Conference, Atlanta,pages 64-71, September (2014).

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– Principal Interval Decomposition Framework for POD Reduced-Order Mod-eling of Convective Boussinesq Flows (with O. San), International Journalfor Numerical Methods in Fluids, Vol. 78, No. 1, pages 37–62 (2015)

– Gradient-based Estimation of Uncertain Parameters for Elliptic PartialDifferential Equations (with H.-W. van Wyk), Inverse Problems, Vol. 31,No. 065008 (2015)

– Development, Validation and Application of a Coupled Reduced-orderCFD model for Building Control Applications (with D. Kim, J. E. Braun,and E. M. Cliff), Building and Environment, Vol. 93, No. 2, pages 97–111(2015)

– Using Functional Gains for Effective Sensor Location in Flow Control: AReduced-order Modelling Approach (with I. Akhtar, J. Burns, H. Imtiaz,and L. Zietsman), Journal of Fluid Mechanics, Vol. 781, pages 622–656(2015)

– Model Reduction for DAEs with an Application to Flow Control, (withS. Gugercin), in Active Flow and Combustion Control 2014, R. King, ed.,Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Volume127, Springer, pages 381–396, (2015).

– Adjoint and Truncation Error Based Adaptation for Finite Volume Schemeswith Error Estimates, (with J. Derlaga, T. S. Phillips, and C. J. Roy),in Proceedings of the 53rd AIAA Aerospace Sciences Meeting, January(2015).

– Performance Evaluation of an RTU Coordination Controller Using a Reduced-Order CFD Coupled Model, (with J. Braun, E. Cliff, J. Hu, and D. Kim),in Proceedings of the 2015 ASHRAE Annual Conference, ASHRAE Trans-actions, Volume 121, January (2015).

– Optimal Sensor Location in the Control of Energy-Efficient Buildings,(with J. A. Burns and E. M. Cliff), in The Princeton Companion to Ap-plied Mathematics, N. J. Higham, M. R. Dennis, P. Glendinning, P. A.Martin, F. Santosa, and J. Tanner ed., Princeton University Press, pages763–767, September (2015).

– A Goal-Oriented Reduced-Order Modeling Approach for Nonlinear Sys-tems (with Z. Wang and L. Zietsman), Computers and Mathematics withApplications, Vol. 71, No. 11, pages 2155–2169 (2016)

– Optimal Control of Indoor-air Cooling in Buildings Using a Reduced OrderModel (with S. Ben Ayed, D. Kim, and E. M. Cliff), Energy, Vol. 116, No.1, pages 1191–1204 (2016)

– High Fidelity Reduced Order Models for Wildland Fires, (with S. Gugercin,A. Lattimer, and B. Lattimer), in Proceedings of the 5th Annual FireBehavior and Fuels Conference, April (2016).

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– Computationally Efficient Wildland Fire Spread Models, (with S. Gugercin,A. Lattimer, B. Lattimer, and K. Luxbacher), in Interflam 2016: Pro-ceedings of the 14th International Fire Science & Engineering Conference,Volume 1, pages 305–316, July (2016).

– Feedback Stabilization of Fluids Using Reduced-Order Models for Con-trol and Compensator Design, (with S. Gugercin and L. Zietsman), inProceedings of the 55th IEEE Conference on Decision and Control, pages7579–7585, Paper Number WeC21.5, December (2016).

– Error Transport Equation Boundary Conditions for the Euler and Navier-Stokes Equations (with J. M. Derlaga, T. S. Phillips, and C. J. Roy),Journal of Computational Physics, Vol. 330, pages 46–64 (2017)

– Thermal Morphing Anisogrid Smart Space Structures Part 2: Ranking ofGeometric Parameter Importance, Trust Region Optimization, and Perfor-mance Evaluation (with A. Phoenix and P. Tarazaga), Journal of Vibrationand Control, pages 1–21 (2017)

– Learning-based Robust Stabilization for Reduced-Order Models of 2D and3D Boussinesq Equations (with M. Benosman, O. San, and B. Kramer),Applied Mathematical Modelling, Vol. 49, pages 162–181 (2017)

– Robust POD Model Stabilization for the 3D Boussinesq Equations Basedon Lyapunov Theory and Extremum Seeking, (with M. Benosman andB. Kramer), in Proceedings of the American Control Conference, pages1827–1832 (2017)

– POD Models for Positive Fields in Advection-Diffusion-Reaction Equa-tions, (with A. Lattimer), in Proceedings of the American Control Confer-ence, pages 3797–3802 (2017)

• Ezra Brown

– A (7,3,1) puzzle, MAA Focus, 34 (Aug-Sept 2014), p. 18.

– Squareorama 4, Math Horizons, 22 (November 2014), inside front cover.

– Many more names of (7,3,1), Mathematics Magazine, 88 (April 2015), 103-120.

– Saints and scoundrels and two theorems that are really the same, CollegeMath Journal 46 (November 2015), 326-334.

– Commutativity and Collinearity: A historical case study of the intercon-nection of mathematical ideas. Part I (with Adrian Rice), Bulletin of theBritish Society for the History of Mathematics 31, #1 (2016), 1-14.

– Commutativity and Collinearity: A historical case study of the intercon-nection of mathematical ideas. Part II (with Adrian Rice), Bulletin of theBritish Society for the History of Mathematics, 31, #2 (2016), 90-103.

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– Getting involved with the MAA: A Path Less Traveled, in A Century ofAdvancing Mathematics (Stephen Kenned, ed.), MAA Press WashingtonDC, 2016

• John Burns

– Numerical Approximations of the Dynamical System Generated by Burg-ers’ Equation with Neumann Boundary Conditions, (with Edward J. Allenand David S. Gilliam), ESIAM Mathematical Modelling and NumericalAnalysis, 47 (2013) 1465–1492.

– Approximating Parabolic Boundary Control Problems with Delayed Ac-tuator Dynamics, (with Terry L. Herdman and Lizette Zietsman), in Pro-ceedings of the 2013 American Control Conference,June, 2013, 2083–2088.

– Control of PDE Systems with Delays, (with Terry L. Herdman and LizetteZietsman), in Proceedings 1st IFAC Conference on Control of Partial Dif-ferential Equations, September, 2013, 85–90.

– Using Dominant Modes for Optimal Feedback Control of AerodynamicForces (with Terry L. Herdman and Lizette Zietsman), Journal of AerospaceEngineering, 2013.

– Infinite Dimensional Delay Differential Equations in Control and Sensitiv-ity Analysis, (with Terry L. Herdman and Lizette Zietsman), J. NonlinearStudies, Vol. 4, No. 2, 129–153, 2013.

– On Optimal Thermal Control of an Idealized Room Including Hard Limitson Zone-Temperature and a Max-control Cost Term, (with E. M. Cliff),in Proceedings of the 52nd IEEE Conference on Decision and Control,December, 2013, 4821–4826.

– Approximation Methods for Boundary Control of the Boussinesq Equa-tions, (with W. Hu), in Proceedings of the 52nd IEEE Conference on De-cision and Control, December, 2013, 454–459.

– Numerical Methods for Optimal Control of Heat Exchangers, (with E. M.Cliff), in Proceedings of the 2014 American Control Conference, June,2014, 1649 - 1654.

– Parameter Estimation and Model Discrepancy in Control Systems with De-lays, (with Eugene. M. Cliff and Kasie Farlow), in Proceedings 19th WorldCongress of the International Federation of Automatic Control, Capetown,South Africa, August, 2014, 11679 - 11684.

– Control of Hyperbolic PDE Systems with Actuator Dynamics, (with E.M. Cliff), in Proceedings of the 53rd IEEE Conference on Decision andControl, December, 2014, 2864–2869.

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– John A. Burns, An Introduction to the Calculus of Variations and Controlwith Modern Applications, Taylor & Francis Publishers, Boca Raton, 2014,544 Pages.

– Full Flux Models for Optimization and Control of Heat Exchangers, (withBoris Kramer), Proceedings of the 2015 American Control Conference,July, 2015, 577–582.

– The Effect of Viscosity in a Tracking Regulation Problem for a Counter-Flow Heat Exchanger, (with E. Aulisa and D. S. Gilliam), in Proceedingsof the 54rd IEEE Conference on Decision and Control, December, 2015,561 - 566.

– Using functional gains for effective sensor location in flow control: a reduced-order modelling approach (with Imran Akhtar, Jeff Borggaard, HaroonImtiaz and Lizette Zietsman), Journal of Fluid Mechanics, 781, (2015),622–656.

– Feedback Stabilization of a Thermal Fluid System with Mixed BoundaryControl (with X. He and W. W. Hu), Computers and Mathematics withApplications, 71 (2016), 2170–2191.

– Velocity Control of a Counter-Flow Heat Exchanger (with Eugenio Aulisa,and David Gilliam), Proceedings NOLCOS 2016, 10th IFAC Symposiumon Nonlinear Control Systems, California, August, 2016, 104–109.

– Control of a Thermal Fluid Heat Exchanger with Actuator Dynamics (withLizette Zietsman), in Proceedings of the 55th IEEE Conference on Decisionand Control, Las Vegas, CA, December, 2016, 3131–3136.

– A New Wavelet Family Based on Second Order LTI-Systems (with TariqAbuhamdia, and Saied Taheri), Journal of Vibration and Control, (2016),1–20.

– Laplace Wavelet Transform Theory and Applications, (with Tariq Abuham-dia, and Saied Taheri), Journal of Vibration and Control, (2017), 1–21.

– Identification of Dynamical Systems with Structured Uncertainty, (with E.M. Cliff and T. L. Herdman), Journal of Inverse Problems in Science andEngineering, 26, (2017), 280–321.

• Noel Chalmers

– N Chalmers and E Lorin. On the numerical approximation of one-dimensionali nonconservative hyperbolic systems. Journal of Computational Science,4(1):111–124, 2013.

– N Chalmers, R Qin, and L Krivodonova. Relaxing the CFL number of thediscontinuous Galerkin method. SIAM Journal on Scientific Computing,36(4):A2047–A2075, 2014.

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– N Chalmers and L Krivodonova. Spatial and modal superconvergenceof the discontinuous Galerkin method for linear equations. Journal ofScientific Computing, 72(1):128–146, 2017.

• Lauren Childs

– N. L. Held, L. M. Childs, M. Davison, J. S. Weitz, R. J. Whitaker, andD. Bhaya, (2013) CRISPR-Cas systems to probe ecological diversity andhost-viral interactions. CRISPR-Cas Systems. Springer-Verlag Berlin Hei-delberg.

– L. M. Childs, W. E. England, M. J. Young, J. S. Weitz, and R. J. Whitaker,(2014) CRISPR-induced distributed immunity in microbial populations.PLoS ONE, 9(7):e0101710.

– B. I. Coleman, K. M. Skillman, R. H. Y. Jiang, L. M. Childs, L. M. Al-tenhofen, M. Ganter, Y. Leung, I. Goldowitz, B. F. C. Kafsack, M. Marti,M. Llinas, C. O. Buckee, and M. T. Duraisingh, (2014) A Plasmodiumfalciparum histone deacetylase links parasite persistence and sexual con-version. Cell Host Microbe, 16(2):177-86.

– L. M. Childs, N. N. Abuelezam, C. Dye, S. Gupta, M. B. Murray, B.Williams, and C. O. Buckee, (2015) Modelling challenges in context: Lessonsfrom malaria, HIV and tuberculosis. Epidemics, 10:102-107.

– L. M. Childs and C. O. Buckee, (2015) Dissecting the determinants ofmalaria chronicity: why within-host models struggle to reproduce infectiondynamics. Journal of the Royal Society Interface, 12(104):20142379.

– S. K. Nilsson, L. M. Childs, C. O. Buckee, and M. Marti, (2015) Targetinghuman transmission biology for malaria elimination. PLoS Pathogens,11(6):e1004871.

– L. M. Childs, E. B. Baskerville, and S. Cobey, (2015) Trade-offs in antibodyrepertoires to complex antigens. Philosophical Transactions of the RoyalSociety of London B: Biological Sciences, 370(1676).

– N. Obaldia III, G. S. Dow, L. Gerena, D. Kyle, W. Otero, P. Y. Mantel,N. Baro, R. Daniels, A. Mukherjee, L. M. Childs, C. O. Buckee, M. T.Duraisingh, S. K. Volkman, D. F. Wirth, and M. Marti, (2016) Altereddrug susceptibility during host adaptation of a Plasmodium falciparumstrain in a non-human primate model. Scientific Reports.

– H. H. Chang, L. M. Childs, and C. O. Buckee, (2016) Variation in infectionlength and superinfection enhance selection efficiency in the human malariaparasite. Scientific Reports, 6:26370.

– W. R. Shaw, P. Marcenac, L. M. Childs, C. O. Buckee, F. Baldini, S. P.Sawadogo, R. K. Dabire, A. Diabate, F. Catteruccia, (2016) Wolbachia

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infection in natural Anopheles populations affect egg laying and nega-tively correlate with Plasmodium development. Nature Communications,7:11772.

– J.C. Blackwood* and L. M. Childs*, (2016) The role of interconnectivityin control of an Ebola epidemic. Scientific Reports, 6:29262.

– L. M. Childs*, F. Cai*, E. G. Kakani*, S. N. Mitchell, P. Gabrieli, C.O.Buckee and F. Catteruccia, (2016) Disrupting Mosquito Reproductionand Parasite Development for Malaria Control. PLoS Pathogens, 12(12),e1006060.

– C. Peak, L. M. Childs, Y. Grad, and C. O. Buckee, (2017) A scientificbasis for comparing quarantine and active symptom monitoring for controlof Ebola. PNAS. doi:10.1073/pnas.1616438114

– L. M. Childs and O. Prosper, (2017) Estimation of within-vector diversityof the malaria parasite. PLoS One. doi:10.1371/journal.pone.0177941

– O. Maxian, A. Neufeld, E Talis, L. M. Childs , J. C. Blackwood , (2017)Zika virus dynamics: When does sexual transmission matter? Epidemics.doi:10.1016/j.epidem.2017.06.003

• Julianne Chung

– Julianne Chung and Matthias Chung. Computing Optimal Low-Rank Ma-trix Approximations for Image Processing. IEEE Proceedings of the Asilo-mar Conference on Signals, Systems, and Computers. November 3-6, 2013,Pacific Grove, CA, USA

– Julianne Chung and Matthias Chung. An Efficient Approach for Comput-ing Optimal Low-Rank Regularized Inverse Matrices. Inverse Problems.30(2014), 114009.

– Julianne Chung, Matthias Chung, and Dianne O’Leary. Optimal Regular-ized Low Rank Inverse Approximation. Linear Algebra and its Applica-tions. 468(2015), 260-269.

– Julianne Chung, Misha Kilmer, and Dianne O’Leary. A Framework forRegularization via Operator Approximation. SIAM Journal on ScientificComputing. 37 (2015), B332-B359.

– Julianne Chung and Katrina Palmer. A Hybrid LSMR Algorithm forLarge-Scale Tikhonov Regularization. SIAM Journal on Scientific Com-puting. 37(2015), S562-S580.

– Julianne Chung and Lars Ruthotto. Computational Methods for ImageReconstruction. NMR in Biomedicine Special Issue: MRI Phase Contrastand Quantitative Susceptibility Mapping, http://dx.doi.org/10.1002/nbm.3545,2016.

13

– Hodjat Pendar, John Socha, and Julianne Chung. Recovering signals inphysiological systems with large datasets. Biology Open 5 (2016), 1163–1174.

– Julianne Chung and Malena Espanol. Learning Regularization Parametersfor General-Form Tikhonov. Inverse Problems, 33 (2017), 074004.

– Julianne Chung and Arvind Saibaba. Generalized Hybrid Iterative Meth-ods for Large-scale Bayesian Inverse Problems. SIAM Journal on ScientificComputing., 39 (2017), S24–S46.

– Julianne Chung and Linh Nguyen. Motion Estimation and Correction inPhotoa- coustic Tomographic Reconstruction. SIAM Journal on ImagingScience., 10 (2017), 216–242.

– Julianne Chung and Matthias Chung. Optimal Regularized Inverse Ma-trices for Inverse Problems. SIAM Journal on Matrix Analysis and Appli-cations, 38 (2017), 458–477.

• Matthias Chung

– M. Chung, B.A. Johnson and Q. Long. A Tutorial on Rank-based Coeffi-cient Estimation for Censored Data in Small- and Large-Scale Problems.Statistics and Computing, 1–14, 2013.

– B. Gbel, K.M. Oltmanns, and M. Chung. Linking neuronal activity to theglucose metabolism. Theoretical Biology and Medical Modelling, 10(50),1-19, 2013.

– S. McClellan, M. Casey, and M. Chung. Coherent Pre-Distortion of Low-Frequency PLC Carriers. The Sixth International Conference on Commu-nication Theory, Reliability, and Quality of Service. Conference Proceed-ings CTRQ 2013, The Sixth International Conference on CommunicationTheory, Reliability, and Quality of Service, 2013

– J. Chung and M. Chung. Computing Optimal Low-Rank Matrix Approx-imations for Image Processing. IEEE Proceedings of the Asilomar Con-ference on Signals, Systems, and Computers. November 3-6, 2013, PacificGrove, CA, USA, 2013.

– J. Chung and M. Chung. An Efficient Approach for Computing OptimalLow-Rank Regularized Inverse Matrices. 30(11): 1–19, Inverse Problems,2014.

– J. Chung, M. Chung, and D.P. O’Leary. Optimal regularized low rankinverse approximation. 468:260–269, Linear Algebra and its Applications,2015.

– Lee BY, Moustakas A, Zeigler A, Prague M, Santos R, Chung M, Gras R,Forbes V, Borg S, et al.. Population modelling by examples II. Society for

14

Computer Simulation International, Proceedings of the Summer ComputerSimulation Conference, 2016.

– J. Chung and M. Chung. Optimal regularized inverse matrices for inverseproblems. SIAM Journal on Matrix Analysis and Applications, 38(2):458–477, 2017.

– A.C. Rodriguez, M. Chung, and S.M. Ciupe. Understanding the complexpatterns observed during hepatitis B Virus therapy. Viruses, 9(117):1–15,2017.

– S. Karunarathne, M. Chung, and J. A. Ogejo. Compartmental process-based model for estimating ammonia emission from liquid dairy manurestorage tank. Proceedings of the 2017 ASABE Annual International Meet-ing, 2017.

• Stanca Ciupe

– SM Ciupe, BH Devlin, ML Markert, and TB Kepler. Quantification oftotal T-cell receptor diversity by flow cytometry and spectratyping. BMCImmunol, 14:1–12, 2013.

– SM Ciupe and E Schwartz. Understanding virus-host dynamics followingEIAV infection in SCID horses. J Theor Biol, 343:1–8, 2014.

– SM Ciupe, RM Ribeiro, and AS Perelson. Antibody responses duringHepatitis B viral infection. PLoS Comput Biol, 10:e1003730, 2014.

– SM Ciupe. Mathematical model of multivalent virus-antibody complexformation in humans following acute and chronic HIV infections. J MathBiol, 71:513–532, 2015.

– R Nikin-Beers and SM Ciupe. The role of antibody in enhancing denguevirus infection. Math Biosci, 263:83–92, 2015.

– A Leber, V Abedi, R Hontecillas, M Viladomiu, S Hoops, SM Ciupe, JCaughman, T Andrew, and J Bassaganya- Riera. Bistability analyses ofCD4+ T follicular helper and regulatory cells during Helicobacter pyloriinfection. J Theor Biol, (398):74–84, 2016.

– JE Forde, SM Ciupe, A Cintron-Arias, and S Lenhart. Optimal control ofdrug therapy in a hepatitis B model. Applied Sciences, 6:1–18, 2016.

– S Erwin and SM Ciupe. Models of germinal center formation during non-chronic and chronic disease. Math Biosci Eng, 14:655–671, 2017.

– M Verma, S Erwin, V Abedi, R Hontecillas, S Hoops, A Leber, J Bassaganya-Riera, and SM Ciupe. Modeling the mechanisms by which HIV-associatedimmunosuppression influences HPV persistence at the oral mucosa. PLoSOne, 12:e0168133, 2017.

15

– R Nikin-Beers and SM Ciupe. Modeling original antigenic sin in dengueviral infection. Math Med Biol, page dqx002, 2017.

– A Carracedo Rodriguez, M Chung, and SM Ciupe. Understanding thecomplex patterns observed during hepatitis B virus therapy. Viruses,9:117, 2017.

– SM Ciupe and JM Heffernan. In-host modeling. Infectious Disease Mod-elling, 2:188–202, 2017.

– N Dorratoltaj, R Nikin-Beers, SM Ciupe, SG Eubank, and KM Abbas.Multi-scale immunoepidemiological modeling of within-host and between-host HIV dynamics: Systematic review of mathematical models. PeerJ,5:e3877, 2017.

• Eric de Sturler

– Cioaca A., Sandu, A., and de Sturler E. (2013). Efficient methods forcomputing observation impact in 4D-Var data assimilation, ComputationalGeosciences 17(6):975–990, 2013

– Swirydowicz, K., Amritkar, A., de Sturler, E., Tafti, D., (2014), RecyclingKrylov subspaces for CFD applications, FEDSM 2014, August 3-7, 2014,Chicago, Illinois, USA.

– de Sturler, E., Gugercin, S., Kilmer, M.E., Chaturantabut, S., Beattie, C.,and O’Connell, M., (2015), Nonlinear Parametric Inversion using Interpo-latory Model Reduction, SIAM Journal on Scientific COmputing 37(3),B495 – B517

– Ahuja, K., Benner, P., de Sturler, E., Feng, L. (2015), Recycling BiCGStabwith an Application to Parametric Model Order Reduction. SIAM J. onScientific Computing 37(5), S429 – S446

– Amritkar, A., de Sturler, E., Swirydowicz, K., Tafti, D., Ahuja, K., (2015),Recycling Krylov subspaces for CFD applications, Journal of Computa-tional Physics 303, 222 – 237

– Tyson, W.C., Swirydowicz, K., Derlaga, J.M., Roy, C.J., de Sturler, E.(2016). Improved Functional-Based Error Estimation and Adaptationwithout Adjoints, AIAA-2016-3809, 46th AIAA Fluid Dynamics Confer-ence, AIAA Aviation 2016, June 13–17, Washington, D.C.

– M. O’Connell, M.E. Kilmer, E. de Sturler, S. Gugercin, (2017), ComputingReduced Order Models via Inner-Outer Krylov Recycling in Diffuse OpticalTomography, SIAM Journal on Scientific Computing, 39(2), B272–B297

– Zhang, X., de Sturler, E., Paulino, G.H., Stochastic sampling for structuraltopology optimization with many load-cases: Density-Based and GroundStructure Approaches, Computer Methods in Applied Mechanics and En-gineering 325, 463–487.

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• Alexander Elgart

– A. Elgart, A. Klein, “Ground state energy of trimmed discrete Schrodingeroperators and localization for trimmed Anderson models” J. Spectr. The-ory, 4, 391 (2014).

– A. Elgart, M. Shamis, and S. Sodin, “Localization for non-monotone Schrodingeroperators”, J. Eur. Math. Soc., 16, 909, (2014).

– A. Elgart and D. Schmidt, “Eigenvalue counting inequalities, with appli-cations to Schrodinger operators”. J. Spectr. Theory, 5, 251–78 (2015).

– A. Elgart and A. Klein, “An eigensystem approach to Anderson localiza-tion.” J. Funct. Anal. 271, 3465 (2016).

– A. Elgart and S. Sodin, “The trimmed Anderson model at strong disorder:localization and its breakup.” J. Spectr. Theory 7, 87 (2017).

– A. Elgart, L. Pastur and M. Shcherbina, “Large block properties of theentanglement entropy of free disordered fermions.” J. Stat. Phys. 166,1092 (2017).

• Mark Embree

– J. A. Sifuentes, M. Embree, and R. B. Morgan GMRES convergence forperturbed coefficient matrices, with application to approximate deflationpreconditioning, SIAM J. Matrix Anal. Appl. 34 (2013) 1066–1088.

– C. Puelz, M. Embree, and J. Fillman Spectral approximation for quasiperi-odic Schrodinger operators, Integral Equations Operator Theory 82 (2015)533-554.

– J. Baker, M. Embree, and J. Sabino Fast singular value decay for Lyapunovsolutions with nonnormal coefficients, SIAM J. Matrix Anal. Appl. 36(2015) 656–668.

– D. Damanik, M. Embree, and A. Gorodetski Spectral properties of Schrodingeroperators arising in the study of quasicrystals, In Mathematics of Aperi-odic Order (pages 307–370), Johannes Kellendonk, Daniel Lenz, and JeanSavinien, eds., Birkhhauser, 2015.

– D. C. Sorensen and M. Embree A DEIM induced CUR factorization SIAMJ. Sci. Comp. 38 (2016) A1454–A1482.

– M. Embree and B. Keeler, Pseudospectra of matrix pencils for transientanalysis of differential-algebraic equations SIAM J. Matrix Anal. Appl. 38(2017) 1028–1054

– M. Embree, R. B. Morgan, and H. Nguyen, Weighted inner products forGMRES and GMRES-DR SIAM J. Sci. Comp. 39 (2017) S610–S632.

17

– M. Embree and J. Fillman, Spectra of discrete two-dimensional periodicSchrodinger operators with small potentials, arXiv:1701.00863 [math.SP](January 2017) To appear in J. Spectral Theory.

• Jake Fillman

– D. Damanik, J. Fillman, R. Vance, Dynamics of unitary operators, Journalof Fractal Geometry, 1 (2014), 391–425.

– D. Damanik, J. Fillman, A. Gorodetski, Continuum Schrodiinger operatorsassociated with aperiodic subshifts. Annales Henri Poincare 15 (2014),1123–1144.

– D. Damanik, J. Fillman, M. Lukic, W. Yessen, Uniform Hyperbolicityfor Szego cocycles and an application to the Ising model, InternationalMathematics Research Notices, 2015 (2015), 7110–7129.

– M. Embree, J. Fillman, C. Puelz, Spectral approximation for quasiperiodicJacobi operators, Integral Equations and Operator Theory, 82 (2015) 533–554.

– D. Damanik, J. Fillman, M. Lukic, W. Yessen, Characterizations of uni-form hyperbolicity and spectra of CMV matrices, Discrete and ContinuousDynamical Systems, Series - S 9 (2016), 1009–1023.

– J. Fillman, Y. Takahashi, W. Yessen, Mixed spectral regimes for squareFibonacci Hamiltonians, Journal of Fractal Geometry 3 (2016), 377–405.

– D. Damanik, J. Fillman, D.C. Ong, Spreading estimates for quantum walkson the integer lattice via power-law bounds on transfer matrices, Journalde Mathematiques Pures et Appliquees 105 (2016), 293–341.

– D. Damanik, J. Erickson, J. Fillman, G. Hinkle, A. Vu, Quantum inter-mittency for sparse CMV matrices with an application to quantum walkson the half-line, Journal of Approximation Theory 208 (2016), 59–84.

– J. Fillman, Spectral homogeneity of discrete one-dimensional limit-periodicoperators, Journal of Spectral Theory 7 (2017), 201–226.

– J. Fillman, Purely singular continuous spectrum for Sturmian CMV matri-ces via strengthened Gordon Lemmas, Proceedings of the American Math-ematical Society 145 (2017), 225–239.

– J. Fillman, D.C. Ong, Purely singular continuous spectrum for limit-periodic CMV operators with applications to quantum walks. Journalof Functional Analysis 272 (2017), 5107–5143.

– J. Fillman, M. Lukic, Spectral homogeneity of limit-periodic Schrodingeroperators. Journal of Spectral Theory 7 (2017), 387–406.

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– D. Damanik, J. Fillman, M. Lukic, Limit-periodic continuum Schrodingeroperators with zero-measure Cantor spectrum, Journal of Spectral Theory7 (2017), 1101–1118.

– J. Fillman, Ballistic transport for limit-periodic Jacobi matrices with ap-plications to quantum many-body problems, Communications in Mathe-matical Physics 350 (2017), 1275–1297.

– J. Fillman, D.C. Ong, Z. Zhang, Spectral characteristics of the unitary crit-ical Almost-Mathieu Operator, Communications in Mathematical Physics351 (2017), 525–561.

• William Floyd

– J. W. Cannon, W. J. Floyd, L. Lambert, W. R. Parry, and J. S. Purcell,“Bitwist manifolds and two-bridge knots.” Pacific J. Math. 284, 1–39(2016).

– W. Floyd, G. Kelsey, S. Koch, R. Lodge, W. Parry, K. Pilgrim, E. Saenz,“Origami, affine maps, and complex dynamics.” Arnold Math. J. 3, 365–395 (2017).

• Martin Fraas

– M Fraas and Y Pinchover. Isolated singularities of positive solutions of p-Laplacian type equations in Rd. J. Differential Equations, 254:1097–1119,2013.

– K Macieszczak, M Fraas, and R Demkowicz-Dobrzanski. Bayesian quan-tum frequency estimation in presence of collective dephasing. New Journalof Physics, 16(11):113002, 2014.

– VV Albert, B Bradlyn, M Fraas, and L Jiang. Geometry and response oflindbladians. Physical Review X, 6(4):041031, 2016.

– M Fraas. An analysis of the stationary operation of atomic clocks. Com-munications in Mathematical Physics, 348(2):363–393, 2016.

– S Bachmann, W De Roeck, and M Fraas. The adiabatic theorem formany-body quantum systems. Phys. Rev. Lett., 119, 2017.

– S Bachmann, M Fraas, and GM Graf. Dynamical crossing of an infinitelydegenerate critical point. Annales Henri Poincare, 18(5):1755–1776, 2017.

– M Fraas. Adiabatic theorem for a class of stochastic differential equationson a hilbert space. Functional Analysis and Operator Theory for QuantumPhysics, pages 223–243, 2017.

– M Fraas and L Hanggli. On landau-zener transitions for dephasing lind-bladians. Annales Henri Poincare, 18(7):2447–2465, 2017.

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• Guangyue Gao

– G. Gao and S. Sun, “A Korteweg-de Vries Type of Fifth-Order Equationson a Finite Domain with Point Dissipation.” Journal of MathematicalAnalysis and Applications (JMAA), 2016.

• Serkan Gugercin

– G. Flagg, C.A. Beattie and S. Gugercin. Interpolatory H-infinity modelreduction. Systems and Control Letters, Vol. 62, Issue: 7, pp. 567-574,2013.

– G. Flagg and S. Gugercin. On the ADI Method for the Sylvester Equationand the optimal H2 points. Applied Numerical Mathematics, Vol. 64, pp.50-58, 2013.

– B. Anic, C.A. Beattie, S. Gugercin and A.C. Antoulas. Interpolatoryweighted H2 model reduction. Automatica, Volume 49, Issue: 5, pp. 1275-1280, 2013.

– S. Gugercin, T. Stykel and S. Wyatt. Model Reduction of DescriptorSystems by Interpolatory Projection Methods. SIAM Journal on ScientificComputing, Vol. 35, Iss. 5, pp. B1010-B1033, 2013.

– J. Borggaard, S. Gugercin, and Lizette Zietsman. Compensators via H2-based Model Reduction and Proper Orthogonal Decomposition. Proceed-ings of 19th IFAC World Congress, 2014.

– G. Flagg and S. Gugercin. Multipoint Volterra Series Interpolation and H2Optimal Model Reduction of Bilinear Systems. SIAM Journal on MatrixAnalysis and Applications, Vol. 36, Issue: 2, 549–579, 2015.

– P. Benner, S. Gugercin, and K. Willcox. A Survey of Model ReductionMethods for Parametric Systems. SIAM Review, Vol. 57, Issue: 4, pp.483–531, 2015.

– E. de Sturler, S. Gugercin, M. E. Kilmer, S. Chaturantabut, C. Beattie,and M. O’Connell. Nonlinear Parametric Inversion using InterpolatoryModel Reduction. SIAM Journal on Scientific Computing, Vol. 37, Issue:3, B495–B517, 2015.

– T. Breiten, C. Beattie, and S. Gugercin (2013). Near-optimal Frequency-weighted Interpolatory Model Reduction. Systems and Control Letters,Vol. 78, pp. 8–18, 2015.

– Z. Drmac, S. Gugercin and C.A. Beattie. Quadrature-Based Vector Fittingfor discretized H2 Approximation. SIAM Journal on Scientific Computing,Vol. 37, Issue: 2, A625–A652, 2015.

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– Z. Drmac, S. Gugercin and C.A. Beattie. Vector Fitting for Matrix-valuedRational Approximation. SIAM Journal on Scientific Computing, Vol. 37,Issue: 5, pp. A2151–S626, 2015.

– Z. Drmac, and S. Gugercin. A New Selection Operator for the DiscreteEmpirical Interpolation Method – improved a priori error bound and ex-tensions. SIAM Journal on Scientific Computing, Vol. 38, Issue: 2, pp.A631-A648, 2015.

– C.A. Beattie, Z. Drmac, S. Gugercin (2014) Quadrature-Based IRKA Fit-ting for optimal H2 approximation. Proceedings of Mathmod, 2015.

– S. Malladi, M. Albakri, S. Gugercin, and P. Tarazaga, Reduced plate modelused for 2D traveling wave propagation. Proceedings of the ASME Con-ference on Smart Materials, Adaptive structures and Intelligent Systems,Colorado Springs, Co., 2015.

– J.T. Borggaard and S. Gugercin. Model Reduction for DAEs with anApplication to Flow Control. Active Flow and Combustion Control 2014,R. King editors, Springer-Verlag, Notes on Numerical Fluid Mechanics andMultidisciplinary Design, Vol. 127, (ISBN 978-3-319-11966-3), pp. 381–396, 2015.

– A. Lattimer, B. Lattimer , S. Gugercin and J. Borggard. High FidelityReduced Order Models for Wildland Fires. Proceedings of the 5th Inter-national Fire Behavior and Fuels, 2015.

– B. Kramer and S. Gugercin. The Eigensystem Realization Algorithm fromTangentially Interpolated Data. Mathematical and Computer Modeling ofDynamical Systems, Vol. 22, Issue: 4, pp. 282–306, 2016.

– I. P. D. Pereira, S.Gygercin, C.A. Beattie, C. Poussat-Vassal, and C. Seren.H2 Optimality Conditions for Reduced Time-delays Systems of DimensionOne. Proceedings of the 13th IFAC Workshop on Time Delay Systems,2016.

– K. Sinani, C.A. Beattie and S. Gugercin, A Structure-preserving ModelReduction Algorithm Dynamical Systems with Nonlinear Frequency De-pendency. Proceedings of the 6th IFAC Symposium on System Structureand Control, 2016.

– J. Borggaard, S. Gugercin, and L. Zietsman. Feedback Stabilization ofFluids Using Interpolatory and POD Reduced-Order Models for Controland Compensator Design. Proceedings of the 55th IEEE Conference onDecision and Control, 2016.

– S. Gugercin, J. Borggaard, and L. Zietsman. Compensators via basedModel Reduction and Proper Orthogonal Decomposition. In IFAC Pro-ceedings Volumes, Vol. 47 pp. 7779–7784, 2016.

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– M. Kasarda, P. Tarazaga, M. Embree, S. Gugercin, A. Woolard, B. Joyce,and J. Hamilton. Detection and Identification of Firearms Upon DischargeUsing Floor-Based Accelerometers. In D. DiMiao, P. Tarazaga, and P.Castellini (Eds.), Special Topics in Structural Dynamics, VOL 6, 34THIMAC, pp. 45–53, 2016.

– M. O’Connell, M. Kilmer, E. de Sturler, and S. Gugercin. ComputingReduced Order Models via Inner-Outer Krylov Recycling in Diffuse OpticalTomography. SIAM Journal on Scientific Computing, Vol. 39, Issue 2, pp.B272–B297, 2017.

– Peherstorfer, S. Gugercin, and K. Willcox. Data-driven Reduced ModelConstruction with Timedomain Loewner Models. SIAM Journal on Sci-entific Computing, Vol. 39, Issue 5, pp. A2152–A2178, 2017.

– Magruder, C. Beattie, S. Gugercin. Linear time-periodic dynamical sys-tems: An Hε analysis and a model reduction framework. Mathematicaland Computer Modelling of Dynamical Systems, pp. 1–24, 2017.

– V. Malladi, M. Albakri, S. Gugercin, P. Tarazaga. Application of projection-based model reduction to finite-element plate models for two-dimensionaltraveling waves. Journal of Intelligent Material Systems and Structures,Vol 28, Issue 14, pp. 1886–1904, 2017.

– C. Beattie, S. Gugercin and V. Mehrmann. “Model Reduction for Systemswith Inhomogeneous Initial Conditions” Systems and Control Letters, Vol.99, pp. 99–106, 2017.

– A. Castagnotto, C.A. Beattie, and S. Gugercin. Interpolatory methods forH∞ model reduction of multi-input/multi-output systems. Model Reduc-tion of Parametrized Systems III. Springer, 2017.

• George Hagedorn

– Hagedorn, G.A.: A Minimal Uncertainty Product for One DimensionalSemiclassical Wave Packets. Spectral Analysis, Differential Equations andMathematical Physics. A Festschrift for Fritz Gesztesy on the Occasion ofhis 60th birthday. ed. by. H. Holden, B. Simon, and G. Teschl. 2013.

– Gradinaru, V. and Hagedorn, G.A.: Convergence of a Semiclassical WavepacketBased Time-Splitting for the Schrodinger Equation. Numerische Mathe-matik. 126, 53–73 (2014).

– Hagedorn, G.A. and Valeev, E.F.: Molecular Resonance Raman and RayleighScattering Stimulated by a Short Laser Pulse. J. Stat. Phys. 154 (2014),522–542.

– Hagedorn, George A. Generating function and a Rodrigues formula for thepolynomials in d-dimensional semiclassical wave packets. Ann. Physics362 (2015), 603–608.

22

– Hagedorn, George A. ; Lasser, Caroline . Symmetric Kronecker productsand semiclassical wave packets. SIAM J. Matrix Anal. Appl. 38 (2017),no. 4, 1560–1579.

• Michael Heitzman

– (with C. Chicone) Phase-locked loops, demodulation, and aver- aging ap-proximation time-scale extensions, SIAM J. Appl. Dyn. Syst., 12(2)(2013), 674-721

• Terry Herdman

– Approximating Parabolic Boundary Control Problems with Delayed Ac-tuator Dynamics, Invited paper, (with J. A. Burns L. and Zietsman), inProceedings of the 2013 American Control Conference, Paper MoC14.4,pp. 2080-2085.

– Infinite Dimensional Delay Differential Equations in Control and Sensi-tivity Analysis, Special issue: Approximation and Control for DistributedParameter Systems with Applications, (with J. A. Burns L. and Zietsman),Mathematics in Engineering, Science and Aerospace (MESA), 2013, Vol.4, No. 2, p131-157.

– Revised Numerical Methods for Optimal Control of a Class of SingularIntegro-Differential Equations, (with Chiang, Shihchung), Mathematics inEngineering, Science and Aerospace (MESA), 2013, Vol. 4, No. 2, pp.171-178.

– Control of PDE Systems with Delays, (with J. A. Burns L. and Zietsman),IFAC Workshop on Control of Systems Modeled by Partial DifferentialEquations, Sept 2013, pp. 85-90.

– Numerical Algorithms for Solving One Type of Singular Integro-DifferentialEquation Containing Derivatives of the Time Delay States, (With Chiang,Shihchung) , Applied Mathematics, 2015 , 6, 1294–1301.

– Identification of Dynamical Systems with Structured Uncertainty, (with J.A. Burns and E. M. Cliff) Inverse Problems in Science and Engineering,April 2017, pp. 1–42.

– Numerical Algorithms for Solving Optimal Control Problems with Integro-Differential Equations of the Second Kind as Constraints, (with ShihchungChiang) 2017 13th IEEE International Conference on Control & Automa-tion (ICCA) July 3–6, 2017. Ohrid, Macedonia pp.198–202.

• Traian Iliescu

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– “Variational Multiscale Proper Orthogonal Decomposition: Convection-Dominated Convection-Diffusion Equations,” (with Z. Wang), Math. Com-put., vol. 82(283), 2013, pp. 1357-1378.

– “Approximate Deconvolution Large Eddy Simulation of a Stratified Two-Layer Quasigeostrophic Ocean Model,” (with O. San and A. E. Staples),Ocean Modelling, vol. 63, 2013, pp. 1-20.

– “A Finite Element Discretization of the Streamfunction Formulation of theStationary Quasi-Geostrophic Equations of the Ocean,” (with E. Fosterand Z. Wang), Comput. Meth. Appl. Mech. Eng., vol. 261-262, 2013, pp.105-117.

– “A Two-Level Finite Element Discretization of the Streamfunction For-mulation of the Stationary Quasi-Geostrophic Equations of the Ocean,”(with E. Foster and D. Wells), Comput. Math. Appl., vol. 66, 2013, pp.1261-1271.

– “Variational Multiscale Proper Orthogonal Decomposition: Navier-StokesEquations,” (with Z.Wang), Num. Meth. P.D.E.s, vol. 30(2), 2014, pp.641–663.

– “A Numerical Investigation of Velocity-Pressure Reduced Order Models forIncompressible Flows,” (with A. Caiazzo, V. John and S. Schyschlowa), J.Comput. Phys., vol. 259, 2014, pp. 598-616.

– “Are the Snapshot Difference Quotients Needed in the Proper OrthogonalDecomposition?” (with Z. Wang), SIAM J. Sci. Comput., vol. 36(3),2014, pp. A1221–A1250.

– “Proper Orthogonal Decomposition Closure Models for Fluid Flows: Burg-ers Equation,” (with O. San), Int. J. Numer. Anal. Model. Ser. B, vol.5(3), 2014, pp 217–237.

– “Disperse Two-Phase Flows, with Applications to Geophysical Problems,”(with L. Berselli and M. Cerminara), Pure Appl. Geophys., vol. 172(1),2015.

– “SUPG Reduced Order Models for Convection-Dominated Convection-Diusion-Reaction Equations,” (with S. Giere, V. John and D. Wells), Com-put. Meth. Appl. Mech. Eng., vol. 289, 2015, pp. 454–474.

– “B-spline Based Finite-Element Method for the Stationary Quasi-GeostrophicEquations of the Ocean,” (with T. Y. Kim and E. Fried), Comput. Meth.Appl. Mech. Eng., vol. 286, 2015, pp. 168–191.

– “A Posteriori Analysis of Spatial Filters for Approximate DeconvolutionLarge Eddy Simulations of Homogeneous Incompressible Flows,” (with O.San and A. E. Staples), Int. J. Comput. Fluid Dyn., vol. 29(1), 2015, pp.40–66.

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– “A Stabilized Proper Orthogonal Decomposition Reduced-Order Modelfor Large Scale Quasigeostrophic Ocean Circulation,” (with O. San), Adv.Comput. Math., vol. 41(5), 2015, pp. 1289–1319.

– “A Conforming Finite Element Discretization of the Streamfunction Formof the Unsteady Quasi-Geostrophic Equations,” (with E. Foster and D.Wells), Int. J. Numer. Model. Anal. Ser. B, vol. 13(6), 2016, pp.951–968.

– “Approximate Partitioned Method of Snapshots for POD,” (with Z.Wang.and B. McBee), J. Comput. Appl. Math., vol. 307, 2016, pp. 374–384.

– “Approximate Deconvolution Reduced Order Modeling,” with (X. Xie, D.Wells, Z. Wang, T. Iliescu), Comput. Methods Appl. Mech. Engrg., vol.313, 2017, pp. 512–534.

– “An Evolve-Then-Filter Regularized Reduced Order Model For Convection-Dominated Flows,” (with D. Wells, Z. Wang and X. Xie) Int. J. Num.Meth. Fluids, vol. 84, 2017, pp. 598–615.

– “Energy Balance and Mass Conservation in Reduced Order Models of FluidFlows,” (with M. Mohe- bujjaman, L. G. Rebholz, and Xie, X), J. Comput.Phys., vol 346, 2017, pp. 262–277.

– “Spatial Filtering for Reduced Order Modeling,” (with L. C. Berselli, X.Xie, and D. Wells), DLES11 ERCOFTAC Workshop Direct and Large-Eddy Simulation 11, 2017.

• Estrella Johnson

– Johnson, E. (2013). Teacher’s mathematical activity in inquiry-orientedinstruction. Journal of Mathematical Behavior. 32 (4). 761–775

– Johnson, E., Caughman, J., Fredericks, J., & Gibson, L. (2013). Imple-menting inquiry-oriented curriculum: From the mathematicians’ perspec-tive. Journal of Mathematical Behavior. 32 (4). 743–760

– Larsen, S., Johnson, E., & Bartlo, J. (2013). Designing and scaling up aninnovation in abstract algebra. Journal of Mathematical Behavior. 32 (4).693–711

– Lockwood E., Johnson, E., & Larsen S. (2013). Developing instructor sup-port materials for an inquiry-oriented curriculum. Journal of MathematicalBehavior. 32(4). 776–790

– Johnson, E. (2013). Implications of Realistic Mathematics Education forAnalyzing Student Learning. Proceedings of the Sixteenth Special Inter-est Group of the Mathematical Association of America on Research inUndergraduate Mathematics Education Conference on Research in Under-graduate Mathematics Education. Denver, CO.

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– Melhuish, K., Larsen, S. Glover, E., & Johnson, E. (2014), Characteristicsof successful programs in college calculus at bachelor’s granting universi-ties. Proceedings of the Seventeenth Special Interest Group of the Math-ematical Association of America on Research in Undergraduate Mathe-matics Education Conference on Research in Undergraduate MathematicsEducation. Denver, CO

– Melhuish, K. & Johnson, E. (2014), Instructors’ beliefs on the role of cal-culus. Proceedings of the Seventeenth Special Interest Group of the Math-ematical Association of America on Research in Undergraduate Mathe-matics Education Conference on Research in Undergraduate MathematicsEducation, Denver, CO.

– Larsen, S., Johnson, E., & Zazkis, D. (2014), Characteristics of successfulprograms in college calculus: How calculus instructors talk about their stu-dents. Proceedings of the Seventeenth Special Interest Group of the Math-ematical Association of America on Research in Undergraduate Mathe-matics Education Conference on Research in Undergraduate MathematicsEducation. Denver, CO.

– Johnson, E., Ellis, J. & Rasmussen, C. (2014). How to make time: Therelationships between concerns about coverage, material covered, instruc-tional practices, and student success in college calculus. Proceedings ofthe Seventeenth Special Interest Group of the Mathematical Associationof America on Research in Undergraduate Mathematics Education Con-ference on Research in Undergraduate Mathematics Education. Denver,CO.

– Johnson, E. (2014). Two metaphors for realistic mathematics educationdesign heuristics: implications for documenting student learning. Pro-ceedings of the Seventeenth Special Interest Group of the MathematicalAssociation of America on Research in Undergraduate Mathematics Edu-cation Conference on Research in Undergraduate Mathematics Education.Denver, CO.

– Johnson, E., Ellis, J., & Rasmussen, C. (2014). It’s about time: How in-structors and students experience time constraints in Calculus I. Proceed-ings of the 38th Conference of the International Group for the Psychologyof Mathematics Education and the 36th Conference of the North AmericanChapter of the Psychology of Mathematics Education. Vancouver, BritishColumbia.

– Johnson, E., Ellis, J., Rasmussen, C. (2015), It’s about time: The rela-tionships between coverage and instructional practices in college calculus.International Journal for Mathematical Education in Science and Technol-ogy, 47(4), 491-504

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– Ellis, J., Johnson, E., & Rasmussen, C. (2015). It’s about time: Howinstructors and students experience time constraints in Calculus I. Pro-ceedings of the Eighteenth Special Interest Group of the MathematicalAssociation of America on Research in Undergraduate Mathematics Edu-cation Conference on Research in Undergraduate Mathematics Education.Pittsburg, PA.

– Johnson, E. (2015). Towards a measure of inquiry-oriented teaching. Pro-ceedings of the Eighteenth Special Interest Group of the MathematicalAssociation of America on Research in Undergraduate Mathematics Edu-cation Conference on Research in Undergraduate Mathematics Education.Pittsburg, PA.

– Hanson, K. & Johnson, E. (2015). Building student communities throughacademic supports. Proceedings of the Eighteenth Special Interest Groupof the Mathematical Association of America on Research in Undergrad-uate Mathematics Education Conference on Research in UndergraduateMathematics Education. Pittsburg, PA.

– Fukawa-Connelly, T., Johnson, E., & Keller, R. (2016). Can math edu-cation research improve the teaching of abstract algebra? Notices of theAMS 63(3).

– Johnson, E. (2016). What is in Calculus I? MAA FOCUS, 36(2). 17-20.

– Kuster, G. & Johnson, E. (2016). Inquiry-oriented instruction: A concep-tualization of the instructional the components and practices. Proceedingsof the Nineteenth Special Interest Group of the Mathematical Associationof America on Research in Undergraduate Mathematics Education Confer-ence on Research in Undergraduate Mathematics Education. Pittsburgh,PA.

– Rasmussen, C., Apkarian, N., Bressoud, D., Ellis, J., Johnson, E., &Larsen, S. (2016). A national investigation of precalculus through calculus2. Proceedings of the Nineteenth Special Interest Group of the Mathemat-ical Association of America on Research in Undergraduate MathematicsEducation Conference on Research in Undergraduate Mathematics Edu-cation. Pittsburgh, PA.

– Fukawa-Connelly, T., Johnson, E., & Keller, R. (2016). Results from a na-tional survey of abstract algebra instructors: Math ed is solving problemsthey don’t have. Proceedings of the Nineteenth Special Interest Groupof the Mathematical Association of America on Research in Undergrad-uate Mathematics Education Conference on Research in UndergraduateMathematics Education. Pittsburgh, PA.

– Ellis, E., Johnson, E., & Fosdick, B. (2016). Feeling the squeeze: Factorscontributing to experiencing a lack of time in college calculus. Proceedings

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of the 38th Annual Conference of the North American Chapter of the In-ternational Group for the Psychology of Mathematics Education. Tucson,AZ.

– Ellis, J., Johnson, E., & Fosdick, B. (2017). Feeling the squeeze: Factorscontributing to experiencing a lack of time in college calculus. InternationalJournal of STEM Education. 4(1), 12

– Kuster, G., Johnson, E., Keene, K., & Andrews-Larson, C. (2017). Inquiry-oriented instruction: A conceptualization of the instructional componentsand practices. Problems, Resources, and Issues in Mathematics Under-graduate Studies, Published online

– Keller, R., Johnson, E., & DeShong, S. (2017). A structural equationmodel looking at student’s participatory behavior and their success in Cal-culus I. International Journal of STEM Education. 4(1), 24

– Johnson, E., Keller, R. & Fukawa-Connelly, T. (2017). Results from a na-tional survey of abstract algebra instructors: Understanding the choice to(not) lecture. International Journal for Research in Undergraduate Math-ematics Education. Published online

– Rasmussen, C., Apkarian, N., Hagman, J., Johnson, E., Larsen, S., &Bressoud, D. (in press). Characteristics of Precalculus through Calculus 2programs: Insights from a national census survey. Journal for Research inMathematics Education.

– Keller, R,. Johnson, E., Peterson, V., & Fukawa-Connelly, T. (2017) Un-dergraduate Abstract Algebra: Is teaching different at ‘teaching’ universi-ties?. Proceedings of the Twentieth Special Interest Group of the Math-ematical Association of America on Research in Undergraduate Mathe-matics Education Conference on Research in Undergraduate MathematicsEducation. San Diego, CA.

• Ali Karakus

– Tutar, M. and Karakus, A., 2013. “A Numerical Study of Solidificationand Viscous Dissipation Effects on Polymer Melt Flow in Plane Channels.”Journal of Polymer Engineering, 33(1), pp:355–384.

– Tutar, M. and Karakus, A., 2013. “Computational Modeling of the Effectsof Viscous Dissipation on Polymer Melt Flow Behavior During InjectionMolding Process in Plane Channels.” Journal of Manufacturing Scienceand Engineering (ASME) 135(1), pp:1–16.

– Tutar, M. and Karakus, A., 2014. “Numerical Study of Polymer Melt Flowin a Three Dimensional Sudden Expansion: Effect of Viscous Dissipation.”Journal of Polymer Engineering, 135(1), pp:1–16.

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– Karakus, A., Warburton T., Aksel H., and Sert, C., 2016. “A GPU Accel-erated Adaptive Discontinuous Galerkin Method for Level Set Equation.”Journal of Computational Fluid Dynamics, 30(1), pp:56–68.

– Karakus, A., Warburton T., Aksel H., and Sert, C., 2016. “A GPU Accel-erated Level Set Reinitialization for an Adaptive Discontinuous GalerkinMethod.” Computer & Mathematics with Applications, 72(3), pp:755–767.

• Jong Kim

– Kim, J.U., On the stochastic 2-D motion of a Bingham fluid, NoDE Nonlin-ear Differential Equations and Applications, Vol.20, No.3, 2013, pp.1011–1034

– Kim, J.U., Stochastic variational inequalities associated with elasto-plastictorsion, Stochastic Partial Differential Equations: Theory and Computa-tions, Vol.2, No.1, 2014, pp. 27–53.

– Kim, J.U., Measure valued solutions to the stochastic Euler equations inRd, Stochastic Partial Differential Equations: Theory and Computations,Vol.3, No.4, 2015, pp. 531 – 569

– Kim, J.U., Stochastic variational inequalities for a wave equation, Differ-ential and Integral Equations, Vol.29, 2016, pp. 93 - 126

• Martin Klaus

– Aktosun T., Klaus M., and Weder R., Small-energy analysis for the self-adjoint matrix Schrdinger operator on the half line, II. Journ. Math.Physics, 55, 032103 (2014).

• Justin Kreuger

– M. Chung, J. Krueger, and M. Pop. Identification of microbiota dynamicsusing robust parameter estimation methods. Math. Biosci., 294:71–84,2017.

• Tao Lin

– Xiaoming He, Tao Lin, Yanping Lin, and Xu Zhang, Immersed Finite Ele-ment Methods for Parabolic Equations with Moving Interface, NumericalMethods for Partial Differential Equations, 29(2013) , no. 2, 619-646.

– Tao Lin and Xu Zhang, Linear and bilinear immersed finite elements forplanar elasticity interface problems, Journal of Computational and AppliedMathematics, 236 (2012), no. 18, pp. 4681-4699.

29

– Lin, T. and Ye, X., A posteriori error estimator of the finite volume methodbased on bilinear trial functions for the elliptic equation, J. Comput. Appl.Math. 254 (2013), 185-191.

– Tao Lin, Yanping Lin and Xu Zhang, A Method of Lines Based on Im-mersed Finite Elements for Parabolic Moving Interface Problems, Ad-vances in Applied Mathematics and Mechanics, (2013), 548-568.

– Tao Lin, Yanping Lin and Xu Zhang, Immersed Finite Element Method ofLines for Moving Interface Problems with Nonhomogeneous Flux Jump,Contemporary Mathematics, 586(2013), 257-265.

– Tao Lin, Dongwoo Sheen, and Xu Zhang, Locking-Free Nonconforming Ro-tated Q1 Immersed Finite Elements for Planar Elasticity Interface Prob-lems, Journal of Computational Physics, 247(2013), 228-247.

– Xiaoming He, Tao Lin, and Yanping Lin, A Selective Immersed Discon-tinuous Galerking Method For Elliptic Interface Problems, MathematicalMethods in the Applied Sciences, 37(2014), 938-1002.

– Slimane Adjerid, Mohamed Ben-Romdhane and Tao Lin, Higher DegreeImmersed Finite Element Methods for Second-Order Elliptic Interface Prob-lems, International Journal of Numerical Analysis and Modeling, 11(2014),541-566.

– D. Depew, D. Han, J. Wang, X. He, T. Lin, Immersed-Finite-ElementParticle-In-Cell simulations of lunar surface charging, Proceedings of the13th Spacecraft Charging Technology Conference, Pasadena, California,June 23-27, 2014.

– Mohamed Ben Romdhane, Slimane Adjerid, and Tao Lin, Quadratic Im-mersed Finite Element Spaces for Elliptic Interface Problems, Advances inApplied Mathematics, Springer Proceedings in Mathematics & Statistics,Vol. 87. Editors: A. Ansari and H. Temimi, pages 171-178, Springer, 2014.

– Yong Cao, Yuchuan Chu, Xiaoming He, and Tao Lin, An iterative im-mersed finite element method for an electric potential interface problembased on given surface electric quantity, Journal of Computational Physics,281(2015), 82–95.

– Tao Lin, Yanping Lin and Xu Zhang, Partially Penalized Immersed Fi-nite Element Methods for Elliptic Interface Problems, SIAM Journal onNumerical Analysis, 53(2015), 1121–1144.

– Tao Lin, Qing Yang and Xu Zhang, A Priori Error Estimates for SomeDiscontinuous Galerkin Immersed Finite Element Methods, Journal of Sci-entific Computing, 65(2015), 875–894.

– Slimane Adjerid, Nabil Chaabane, Tao Lin, An immersed discontinuousfinite element method for Stokes interface problems, Computer Methodsin Applied Mechanics and Engineering, 293(2015), 170–190.

30

– Tao Lin, Qing Yang and Xu Zhang, Partially penalized immersed finiteelement methods for parabolic interface problems, Numerical Methods forPartial Differential Equations, 31(2015), 1925–1947.

– Daoru Han, Pu Wang, Xiaoming He, Tao Lin, and Joseph Wang, A 3D im-mersed finite element method with non-homogeneous interface flux jumpfor applications in particle-in-cell simulations of plasmalunar surface inter-actions, Journal of Computational Physics, 321(2016), 965–980.

– Tie Zhang and Tao Lin, A posteriori error estimate for a modified weakGalerkin method solving elliptic problems, Numerical Methods for PartialDifferential Equations, 33(2016), 381–398.

– Slimane Adjerid, Ruchi Guo, and Tao Lin, Higher degree immersed fi-nite element spaces by a least squares method, International Journal ofNumerical Analysis And Modeling, 14(2017), 604–625.

– Min Lin and Tao Lin and Huili Zhang, Error analysis of an immersed finiteelement method for Euler-Bernoulli beam interface problems, InternationalJournal of Numerical Analysis and Modeling, 14(2017), 822–841.

– Tie Zhang and Tao Lin, A stable weak Galerkin finite element methodfor stokes problems, Journal of Computational and Applied Mathematics,(2017, in press).

– Huijun Cao, Yong Cao, Yuchuan Chu, Xiaoming He, Tao Lin, A Huy-gens immersed-finite-element particle-in-cell method for modeling plasma-surface interactions with moving interface, Communications in NonlinearScience and Numerical Simulation, (2017, in press).

– Slimane Adjerid and Tao Lin, Higher degree immersed finite element spacesconstructed according to the actual interface, Computers and Mathematicswith Applications, (2017, in press).

– Huili Zhang, Tao Lin, and Yanping Lin, Linear and quadratic immersedfinite element methods for the multi-layer porous wall model for coronarydrug-eluting stents, International Journal of Numerical Analysis and Mod-eling, (2017, in press).

– Ruchi Guo and Tao Lin, A Group of Immersed finite element spaces forelliptic interface problems, IMA Journal of Numerical Analysis, (2017, inpress).

– Ruchi Guo, Tao Lin, and Xu Zhang, Nonconforming immersed finite ele-ment spaces for elliptic interface problems, Computers and Mathematicswith Applications, (2017, in press).

• Peter Linnell

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– Peter A. Linnell and DaveWitte Moris. Amenable groups with a locallyinvariant order are locally indicable. Groups Geom. Dyn., Dyn., 8(2):467–478, 2014.

– Nicolas Bergeron, Peter Linnell, Wolfgang Luck, and Roman Sauer. Onthe growth of Betti numbers in p-adic analytic towers. Groups Geom.Dyn., 8(2):311–329, 2014.

– Peter A. Linnell. The Atiyah conjecture. In Geometry, topology, anddynamics in negative curvature, volume 425 of London Math. Soc. LectureNote Ser., pages 198–220. Cambridge Univ. Press, Cambridge, 2016.

– Anselm Knebusch, Peter Linnell, and Thomas Schick. On the center-valued Atiyah conjecture for L2-Betti numbers. Doc. Math., 22:659–677,2017.

– Peter A. Linnell, Michael J. Puls, and Ahmed Roman. Linear dependencyof translations and square-integrable representations. Banach J. Math.Anal., 11(4):945–962, 2017.

– Wolfgang Luck and Peter Linnell. Localization, Whitehead groups and theAtiyah conjecture. Ann. K-Theory, 3(1):33–53, 2018.

• Honghu Liu

– H. Liu, T. Sengul, S. Wang, and P. Zhang, Dynamic transitions and patternformations for Cahn-Hilliard model with long-range repulsive interactions.Comm. Math. Sci., 13, 1289–1315, 2015.

– M. D. Chekroun and H. Liu, Finite-horizon parameterizing manifolds, andapplications to suboptimal control of nonlinear parabolic PDEs. ActaAppl. Math., Vol. 135, pp 81–144, 2015.

– M. D. Chekroun, H. Liu, and S. Wang, Approximation of Stochastic Invari-ant Manifolds: Stochastic Manifolds for Nonlinear SPDEs I. SpringerBriefsin Mathematics, Springer, New York, xv+127 pp., 2015.

– M. D. Chekroun, H. Liu, and S. Wang, Stochastic Parameterizing Man-ifolds and Non-Markovian Reduced Equations: Stochastic Manifolds forNonlinear SPDEs II. SpringerBriefs in Mathematics, Springer, New York,xvii+129 pp., 2015.

– M. D. Chekroun, M. Ghil, H. Liu, and S. Wang, Low-dimensional Galerkinap- proximations of nonlinear delay differential equations. Disc. Cont.Dyn. Sys. A, Vol. 36, pp 4133–4177, 2016.

– M. D. Chekroun and H. Liu, Post-processing finite-horizon parameterizingman- ifolds for optimal control of nonlinear parabolic PDEs. the Proceed-ings of 55th IEEE Conference on Decision and Control, 1411–1416, 2016.

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– M. D. Chekroun, H. Liu, and J. C. McWilliams, The emergence of fastoscillations in a reduced Primitive Equation model and its implications forclosure theories. Computers and Fluids, 151, 3–22, 2017.

– M. D. Chekroun, A. Kroner, H. Liu. (2017). Galerkin approximations ofnonlinear optimal control problems in Hilbert spaces. Electronic Journalof Differential Equations. Vol. 2017, No. 189, 1–40, 2017.

– N. Boers, M. D. Chekroun, H. Liu, D. Kondrashov, D.-D. Rousseau, A.Svensson, M. Bigler, and M. Ghil, Inverse stochastic-dynamic models forhigh resolution greenland ice-core records, Earth System Dynamics 8(4),1171–1190, 2017.

• Nicholas Loehr

– (with K. Benedetto) “Domino tiling graphs,” Ars Combin. 109 (2013),3–29.

– (with R. D. Mauldin) “Bijective proofs of Jensen’s and Mohanty-Handa’sidentities,” Appl. Anal. Discrete Math. 7 (2013), 11–24.

– (with K. Lee and L. Li) “Limits of modified higher q, t-Catalan num-bers,” Electron. J. Combin. 20(3) (2013), research paper P4, 23 pages(electronic).

– (with L. Serrano and G.Warrington) “Transition matrices for symmetricand quasisymmetric Hall-Littlewood polynomials,” J. Combin. TheorySer. A 120 (2013), 1996–2019.

– (with L. Serrano and G. Warrington) “Transition matrices for symmetricand quasisymmetric Hall-Littlewood polynomials,” Discrete Math. Theor.Comput. Sci. proc. AS (2013), 301–312. Conference version of journalarticle, presented at FPSAC 2013.

– (with E. Green and A. Pelley) “C-rings, coproducts, and reflection func-tors,” J. Algebra Appl. 13 (2014), paper 1350071 (22 pages).

– “Classifying nilpotent maps via partition diagrams,” College Math. J. 45(2014), 108–115.

– (with K. Barrese, J. Remmel, and B. Sagan) “m-level rook placements,”J. Combin. Theory Ser. A 124 (2014), 130–165.

– (with K. Lee and L. Li) “Combinatorics of certain higher q, t-Catalanpolynomials: chains, joint symmetry, and the Garsia-Haiman formula,” J.Algebraic Combin. 39 (2014), 749–781.

– (with E. Niese) “New combinatorial formulations of the shuffle conjecture,”Adv. Appl. Math. 55 (2014), 22–47.

– Advanced Linear Algebra, Chapman and Hall/CRC (2014), 632 pages.

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– (with G. Warrington) “Sweep maps for lattice paths,” Discrete Math.Theor. Comput. Sci. proc. AT (2014), 667–678.

– (with D. Armstrong and G. Warrington) “Sweep maps: a continuous familyof sorting algorithms,” Adv. Math. 284 (2015), 159–185.

– (with D. Armstrong and G. Warrington) “Rational parking functions andCatalan numbers,” Ann. Comb. 20 (2016), 21–58

– (with K. Barrese, J. Remmel, and B. Sagan) “Bijections on m-level rookplacements,” European J. Combin. 57 (2016), 13–35.

– (with A. Wills) “Abacus-tournament models for Hall-Littlewood polyno-mials,” Discrete Math. 339 (2016), 2423–2445.

– “Variants of the RSK algorithm adapted to combinatorial Macdonald poly-nomials,” J. Combin. Theory Ser. A 146 (2017), 129–164.

– (with K. Lee and L. Li) “A combinatorial approach to the symmetry of q,t- Catalan numbers,” to appear in SIAM J. Discrete Math.

• Palanivel Manorahan

– “Lefschetz theory on fibre bundles via Gysin homomorphism” Illinois Jour-nal of Math 57, No. 2, 595–602 (2013)

– “Geometry of manifolds modeled on Hilbert modules ” Journal of Geom-etry, 108, 271–300 (2017)

• Leonardo Mihalcea

– Anders Buch, Pierre-Emmanuel Chaput, Leonardo C. Mihalcea and Nico-las Perrin, Finiteness of cominuscule quantum K-theory, Annales Sci. del’Ecole Normale Superieure, 46, fascicule 3 (2013), pag. 477–494.

– Changzheng Li and Leonardo C. Mihalcea, K-theoretic Gromov-Witteninvariants of lines in homogeneous spaces, Int. Math. Res. Notices 2013,

– Anders Buch and Leonardo C. Mihalcea, Curve neighborhoods of Schuberti varieties, J. Differential Geom. 99 (2015), no. 2, 255 – 283.

– Leonardo C. Mihalcea, Binomial determinants and positivity of Chern-Schwartz-MacPherson classes, The Australasian Journal of Combinatorics62 (part 2) (June 2015).

– Anders Buch, Pierre-Emmanuel Chaput, Leonardo C. Mihalcea and Nico-las Perrin, Rational connectedness implies finiteness of quantum K-theory,Asian J. Math. 20 (2016), no. 1, 117 - 122.

– Rachel Elliott, Mark E. Lewers and Leonardo C. Mihalcea, Quantum Schu-bert polynomials for the G2 flag manifold, Involve 9 (2016), no. 3, 437 -451; (outcome of an undegraduate research project).

34

– Takeshi Ikeda, Leonardo C. Mihalcea and Hiroshi Naruse, Factorial P- andQ-Schur functions represent equivariant quantum Schubert classes, OsakaJ. Math. 53 (2016), no. 3, 591 - 619.

– Paolo Aluffi and Leonardo C. Mihalcea, Chern-Schwartz-MacPherson classesfor Schubert cells in flag manifolds, Compositio Math., 152 (2016) no. 12,2603 - 2625.

– Trevor Norton and Leonardo C. Mihalcea, Combinatorial curve neighbor-hoods for the affine flag manifold of type A1 , Involve 10 (2017), no. 2,317 – 325; (outcome of an undegraduate research project)

– Anders Buch, Pierre-Emmanuel Chaput, Leonardo C. Mihalcea and Nico-las Perrin, Projected Gromov-Witten varieties in cominuscule spaces, toappear in Proc. of AMS

– Anders Buch, Pierre-Emmanuel Chaput, Leonardo C. Mihalcea and Nico-las Perrin, A Chevalley formula for the equivariant quantum K-theory ofcominuscule varieties, to appear in Algebraic Geometry

• Muhammad Mohebujjaman

– Numerical analysis and testing of a fully discrete, decoupled penalty-projectionalgorithm for MHD in Elsasser variable, M. Akbas, S. Kaya, M.Mohebujjamanand Leo G. Rebholz, International Journal of Numerical Analysis and Mod-eling, 13(1), 90–113, 2016.

– Analysis of a family of optimally accurate regularization methods for Navier-Stokes equations, N. Jiang, M. Mohebujjaman, L. Rebholz and C. Trenchea,Computer Methods in Applied Mechanics and Engineering, Vol: 310, p388–405, 2016.

– An efficient algorithm for computation of MHD flow ensembles, M. Mohe-bujjaman and Leo G. Rebholz, Computational Methods in Applied Math-ematics, 17(1), 121–137, 2017.

– Decoupled, unconditionally stable, higher order discretizations for MHDflow simulation, T. Heister, M. Mohebujjaman and Leo G. Rebholz, Jour-nal of Scientific Computing, 71(1), 21–43, 2017.

– High order algebraic splitting for magnetohydrodynamics simulation, M.Akbas, M. Mohebujjaman, L. Rebholz, and M. Xiao, Journal of Compu-tational and Applied Mathematics, 321, 128–142, 2017.

– Energy Balance and Mass Conservation in Reduced Order Models of FluidFlows, M. Mohebujjaman, L.G. Rebholz, X. Xie, and T. Iliescu, Journalof Computational Physics, 321, 128–142, 2017.

• Henning Mortveit

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– C. Kuhlman, M. Khan, VS Anil Kumar, H. Mortveit, M. Marathe, S. Ravi,and D. Rosenkrantz. A modeling environment for social behavior in net-worked populations. In Proceedings of the 27th International Conferenceon Supercomputing. University of Oregon. Eugene, Oregon, June 10-14,2013., 2013.

– Abhijin Adiga, Henning S. Mortveit, and Sichao Wu. Route stabilityin large-scale transportation models. In Takayuki Ito, Catholijn Jonker,Maria Gini, and Onn Shehory, editors, Proceedings of the Workshop onMultiagent Interaction Networks (MAIN 2013), held in conjunction withAAMAS 2013, May 7, 2013, Saint Paul, Minnesota, USA, 2013.

– Abhijin Adiga, Chris Kuhlman, Henning S. Mortveit, and Anil Kumar S.Vullikanti. Sensitivity of diffusion dynamics to network uncertainty. InProceedings of the Twenty-Seventh AAAI Conference on Artificial Intelli-gence (AAAI-13) July 14-18, 2013,Bellevue, Washington, USA, 2013.

– Matthew Macauley and Henning S. Mortveit. An atlas of limit set dynam-ics for asynchronous elementary cellular automata. Theoretical ComputerScience, 504:26-37, 2013. Discrete Mathematical Structures: From Dy-namics to Complexity - DISCO 2011 24-26 November, 2011, Santiago,Chile.

– Abhijin Adiga, Chris Kuhlman, Henning S. Mortveit, and Anil KumarS. Vullikanti. Sensitivity of diffusion dynamics to network uncertainty.Journal of Artificial Intelligence, 51:207–226, 2014.

– Elmeligy Abdelhamid S. H., Kuhlman C. J., M. V. Marathe, H. S Mortveit,and S. S. Ravi. GDSCalc: a web-based application for evaluating discretegraph dynamical systems. PLoS One, 10:e0133660, 2015. eCollection.

– Chris J. Kuhlman and Henning S. Mortveit. Limit sets of generalized,multi-threshold networks. Journal of Cellular Automata, 10(3–4):161–193,2015.

– Eric Goles, Marco Montalva-Medel, Henning Mortveit, and Salvador Ramirez-Flandes. Block invariance in elementary cellular automata. Journal ofCellular Automata, 10(1–2):119–135, 2015.

– Matthew Macauley and Henning S. Mortveit. Cycle equivalence of finitedynamical systems containing symmetries. In Teijiro Isokawa, KatsunobuImai, Nobuyuki Matsui, Ferdinand Peper, and Hiroshi Umeo, editors, Cel-lular Automata and Discrete Complex Systems: 20th International Work-shop, AUTOMATA 2014, Himeji, Japan, July 7-9, 2014, Revised SelectedPapers, volume 8996 of Lecture Notes in Computer Science, pages 70–82,2014.

– M. Marathe, H. Mortveit, N. Parikh, and S. Swarup. Prescriptive analytics

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using synthetic information. In Emerging Methods in Predictive Analytics:Risk Management and Decision Making, pages 1–19. IGI Global, 2014.

– S. Abdelhamid, M. Alam, R. Alo, S. Arifuzzaman, P. Beckman, T. Bhat-tacharjee, H. Bhuiyan, K. Bisset, S. Eubank, A.C. Esterline, E.A. Fox,G.C. Fox, S.M. Shamimul Hasan, H. Hayatnagarkar, M. Khan, C.J. Kuhlman,M.V. Marathe, N. Meghanathan, H.S. Mortveit, J. Qiu, S.S. Ravi, Z.Shams, O. Sirisaengtaksin, S. Swarup, A.K.S. Vullikanti, and Tak-LonWu. Cinet 2.0: A cyberinfrastructure for network science. In e-Science(e-Science), 2014 IEEE 10th International Conference on, volume 1, pages324–331, 2014.

– Abhijin Adiga, , Chris J. Kuhlman, Henning S. Mortveit, and Sichao Wu.Effect of graph structure on the limit sets of threshold dynamical systems.In Jarkko Kari, editor, Cellular Automata and Discrete Complex Systems:Proceedings of AUTOMATA 2015, Turku, Finland, June 8–10, 2015, vol-ume 9099 of Lecture Notes in Computer Science, pages 59–70, 2015.

– Abhijin Adiga, Hilton Galyean, Chris J. Kuhlman, Michael Levet, HenningS. Mortveit, and Sichao Wu. Network structure and activity in booleannetworks. In Jarkko Kari, editor, Cellular Automata and Discrete ComplexSystems: Proceedings of AUTOMATA 2015, Turku, Finland, June 8–10,2015, volume 9099 of Lecture Notes in Computer Science, pages 210–223,2015.

– Jiangzhuo Chen, Shuyu Chu, Youngyun Chungbaek, Maleq Khan, Christo-pher Kuhlman, Achla Marathe, Henning Mortveit, Anil Vullikanti, andDawen Xie. Effect of modelling slum populations on influenza spread indelhi. BMJ Open, 6:e011699, 2016.

– Abhijin Adiga, Hilton Galyean, Chris J. Kuhlman, Michael Levet, Hen-ning S. Mortveit, and Sichao Wu. Activity in boolean networks. NaturalComputing, 2016. Online.

– S. Venkatramanan, J. Chen, S. Gupta, B. Lewis, M. Marathe, H. Mortveit,and A. Vullikanti. Spatio-temporal optimization of seasonal vaccinationusing a metapopulation model of influenza. In 2017 IEEE InternationalConference on Healthcare Informatics (ICHI), pages 134–143, Aug 2017.

– Sichao Wu, Henning S. Mortveit, and Sandeep Gupta. A framework for ivalidation of network-based simulation models: An application to modelinginterventions of pandemics. In Proceedings of the 2017 ACM SIGSIMConference on Principles of Advanced Discrete Simulation, SIGSIM-PADS’17, pages 197–207, New York, NY, USA, 2017. ACM.

• Anderson Norton

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– Norton, A., & Wilkins, J. (2013). Supporting students’ constructions ofthe splitting operation. Cognition & Instruction, 31(1), 2-28

– Norton, A., & Boyce, S. (2013). A cognitive core for common state stan-dards. Journal for Mathematical Behavior, 32, 266-279.

– Wilkins, J. L. M., Norton, A., & Boyce, S. (2013). Validating a writteninstrument for assessing students’ fractions schemes and operations. TheMathematics Educator, 22(2), 31-44.

– Evans, M., Norton, A., Chang, M., Deckard, K., & Balci, O. (2013). Youthand video games: Exploring the effects of learning, achievement, and en-gagement. Zeitschrift fur Psychologie. 221(2), 98-106.

– Norton, A., Wilkins, J. L. M., Evans, M. A., Deater-Deckard, K., Balci,O., Chang, M. (2014). Transcending part-whole conceptions of fractions.Mathematics Teaching in the Middle School, 19(6), 352-359.

– Norton, A., & Deater-Deckard, K. (2014). Mathematics in Mind, Brain,and Education: A Neo-Piagetian Approach. International Journal for Re-search in Science and Mathematics Education, 1-21.

– Norton, A., & Boyce, S. (2013). Coordinating n+1 levels of units. Proceed-ings of the Thirty-Fourth Annual Meeting of the North American Chapterof the International Group for the Psychology of Mathematics Education.Chicago, IL: University of Chicago.

– Norton, A. (2014). The construction of cohomology as objectified action.Proceedings of the 17th annual conference for Research in UndergraduateMathematics Education. Denver, CO.

– Evans, M. A., Walker, M. H., Abel, T. D., McGlynn, M., & Norton, A.(2014). Evaluating design patterns for intentional learning in educationalvideo games: Identifying a common language for interdisciplinary collab-orations. Journal of Applied Instructional Design, 4(1), 5-20.

– Deater-Deckard, K., El Mallah, S., Chang, M., Evans, M. A., & Norton,A. (2014). Student behavioral engagement during mathematics educa-tional video game instruction with 11-14 year olds. International Journal ofChild-Computer Interaction, 2, 101-108. DOI: 10.1016/j.ijcci.2014.08.001

– Ulrich, C., Tillema, E., Hackenberg, A., & Norton, A. (2014). Construc-tivist model building: Empirical examples from mathematics education.Constructivist Foundations, 9(3), 328-339.

– Steffe, L. P., & Norton, A. (2014). Epistemic algebraic students. In L. P.Steffe, K. C. Moore, & L. L. Hatfield (Eds.), Epistemic Algebraic Students:Emerging Models of Students’ Algebraic Knowing (pp. 317-323). Laramie,Wyoming: University of Wyoming.

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– Norton, A. (2014). In search of a common cognitive core for algebra. InL. P. Steffe, K. C. Moore, & L. L. Hatfield (Eds.), Epistemic AlgebraicStudents: Emerging Models of Students’ Algebraic Knowing (pp. 127-134). Laramie, Wyoming: University of Wyoming.

– Chang, M., Evans, M., Kim, S., Norton, A., Deater-Deckard, K., & Samur,Y. (2015). The effects of an educational video game on mathematicalengagement. Education and Information Technologies, 1-15.

– Norton, A. (2015). The wonderful gift of mathematics. The MathematicsEducator, 24(1), 3-20.

– Norton, A., Boyce, S., Hatch, J. (2015). Coordinating units at the CandyDepot. Mathematics Teaching in the Middle School, 21(5), 280-287.

– Chang, M., Evans, M., Kim, S., Norton, A., & Samur, Y. (2015). Differ-ential effects of learning games on mathematics proficiency. EducationalMedia International, 52(1), 47-57. DOI: 10.1080/09523987.2015.1005427

– Norton, A., Boyce, S., Ulrich, C., & Phillips. N. (2015). Students’ unitscoordination activity: A cross-sectional analysis. Journal of MathematicalBehavior, 39, 51-66.

– Norton, A., & Boyce, S. (2015). Provoking the construction of a structurefor coordinating n+1 levels of units. Journal of Mathematical Behavior,40, 211-242.

– Norton, A., Boyce, S., Phillips, N., Anwyll, T., Ulrich, C., & Wilkins,J. (2015). A written instrument for assessing students’ units coordina-tion structures. Journal of Mathematics Education, 10(2), 111-136. DOI:10.12973/mathedu.2015.108a

– Norton, A. (2015). Neural correlates for action-object theories. Proceed-ings of the 18th annual conference for Research in Undergraduate Mathe-matics Education. Pittsburgh, PA.

– Jones, R., Balci, O., & Norton, A. (2015). A cloud software system forvisualization of game-based learning data collected on mobile devices. InProceedings of the 2015 Winter Simulation Conference (Huntington Beach,CA, Dec. 6-9). IEEE, Piscataway, NJ, pp. 1080-1090.

– Stephens, A., Lovin, L. A., Bussi, R., Siegfried, Z., Wilkins, J. L. M.,& Norton, A. (2015). PreK-8 Preservice Teachers’ Construction of Frac-tions Schemes and Operations. Proceedings of the Thirty-Seventh AnnualMeeting of the North American Chapter of the International Group forthe Psychology of Mathematics Education. Lansing, MI: Michigan StateUniversity.

– *Boyce, S., & Norton, A. (2016). Co-construction of fractions schemesand units coordination structures. Journal of Mathematical Behavior, 41,10-25.

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– Lovin, L. A., *Stevens, A., Siegfried, Z., Wilkins, J. L. M., & Norton, A.(2016). PreK-8 preservice teachers’ understanding of fractions: An exten-sion of fractions schemes and operations research. Journal of MathematicsTeacher Education. DOI: 10.1007/s10857-016-9357-8

– Norton, A. (2016). (Ir)reversibility in Mathematics. Proceedings of theThirty-Eighth Annual Meeting of the North American Chapter of the In-ternational Group for the Psychology of Mathematics Education. Tucson,AZ: University of Arizona.

– Hackenberg, A., Norton, A., Wright, R. (2016). Developing FractionsKnowledge. London: Sage Publishers.

– *Boyce, S., & Norton, A. (2017). Dylan’s units coordination across con-texts. Journal of Mathematical Behavior, 45, 121–136.

– Norton, A., Wilkins, J. L. M., & *Xu, C. Z. (in press). A progression offractions schemes common to Chinese and U.S. classrooms. Journal forResearch in Mathematics Education.

– Norton, A., Ulrich, C., Bell, M. A., & Cate, A. (in press). Mathematics athand. The Mathematics Educator.

– Kim, S., Chang, M., Deater-Deckard, K., Evans, M., Norton, A., & Samur,Y. (2017). Educational Games and Students’ Game Engagement in Ele-mentary School Classroom. Journal of Computers in Education. DOI10.1007/s40692-017-0095-4

– Norton, A., & Bell, M. A. (2017). Mathematics educational neuroscience:Promises and challenges. In J. Cai (Ed.), Compendium for Research inMathematics Education. Reston, VA: National Council of Teachers ofMathematics.

– Arnold, R., & Norton, A. (2017). Mathematical actions, mathematicalobjects, and mathematical induction. Proceedings of the 20th annual con-ference for Research in Undergraduate Mathematics Education, San Diego,CA.

– Norton, A., & Arnold, R. (2017). Logical implication as the object ofmathematical induction. Proceedings of the Thirty-Ninth Annual Meet-ing of the North American Chapter of the International Group for thePsychology of Mathematics Education. Indianapolis, IN.

– Wilkins, J., Norton, A., & Ulrich, K. (2017). Activating a fourth level ofunits coordination. Proceedings of the Thirty-Ninth Annual Meeting of theNorth American Chapter of the International Group for the Psychology ofMathematics Education. Indianapolis, IN.

– Tzur, R., Johnson, H., Norton, A., Davis, A., Wang, X., Ferrara, M,Jorgensen, C., & Wei, B. (2017). Conception of number as a composite unit

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predicts students’ multiplicative reasoning: Quantitative corroboration ofSteffe’s model. In B. Kaur, W. K. Ho, T. L. Toh, & B. H. Choy (Eds.),Proceedings of the 41st Conference of the International Group for thePsychology of Mathematics Education (Vol. 4, pp. 289–296). Singapore:PME

• Daniel Orr

– One-dimensional nil-DAHA and Whittaker functions II , with I. Cherednik.Transformation Groups, vol. 18, no. 1, 23–59 (2013).

– Nonsymmetric difference Whittaker functions, with I. Cherednik. Mathe-matische Zeitschrift, Volume 279, Issue 3, 879–938 (2015).

– Stochastic higher spin six vertex model and q-TASEPs, with L. Petrov.Advances in Mathematics, vol. 317, 473–525 (2017).

• Eyvindur Palsson

– Y. Do, R. Oberlin, E. A. Palsson, ”Variational bounds for a dyadic model ofthe bilinear Hilbert transform”, Illinois Journal of Mathematics, 57 (2013),105-120.

– L. Grafakos, A. Greenleaf, A. Iosevich, E. A. Palsson, ”Multilinear general-ized Radon transforms and point configurations”, Forum Mathematicum,27 (2015), 2323-2360.

– D. Geba, A. Greenleaf, A. Iosevich, E. A. Palsson, E. Sawyer, ”Restrictedconvolution inequalities, multilinear operators and applications”, Mathe-matical Research Letters, 20 (2013), 675-694.

– A. Greenleaf, A. Iosevich, B. Liu, E. A. Palsson, ”A group-theoretic view-point on Erdos-Falconer problems and the Mattila integral”, Revista Matem-atica Iberoamericana, 31 (2015), no. 3, 799-810.

– B. Murphy, E. A. Palsson, G. Petridis, ”The cardinality of sumsets: dif-ferent summands”, Acta Arithmetica, 167 (2015), 375-395.

– D. Burt, E. Goldstein, S. Manski, S. J. Miller, E. A. Palsson, H. Suh,Crescent configurations, Integers, 16 (2016), #A38.

– A. Iosevich, M. Mourgoglou, E. A. Palsson, On angles determined by frac-tal subsets of the Euclidean space via Sobolev bounds for bi-linear opera-tors, Mathematical Research Letters, 23 (2016), 1737–1759.

– Y. Do, R. Oberlin, E. A. Palsson, Variation-norm and fluctuation estimatesfor ergodic bilinear averages, Indiana University Mathematics Journal, 66(2017), 55–99.

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– R. Dorward, P. Ford, E. Fourakis, P. Harris, S. J. Miller, E. A. Palsson,H. Paugh, A generalization of Zeckendorf’s theorem via circumscribed m-gons, Involve, 10 (2017), 125–150.

– R. Dorward, P. Ford, E. Fourakis, P. Harris, S. J. Miller, E. A. Palsson,H. Paugh, Individual gap measures from generalized Zeckendorf decompo-sitions, Uniform Distribution Theory, 12 (2017), no. 1, 27–36.

• Frank Quinn

– The triangulation of manifolds: topology, gauge theory, and history. Ar-beitstagung Bonn 2013, 307–336, Progr. Math., 319, Birkhauser/Springer,Cham, 2016.

• Christian Reidys

– Li, T.J.X. and Reidys, C.M., 2013, The genus filtration of γ-structures,Math. Biosc., Volume 241, Issue 1, January 2013, Pages 2433.

– J. E. Andersen, L. O. Chekhov, R. C. Penner,Reidys,C.M., Piotr Sulkowski,2013, Topological recursion for chord diagrams, RNA complexes, and cellsin moduli spaces, Nucl.Phys. B, Volume 866, Issue 3, 21 January 2013,Pages 414-443.

– Han, H.S.W., Reidys, C.M., 2013, A bijection for tri-cellular maps. ISRN,Discrete Math. 2014712431, 2013

– Reidys, C.M. and Jin, E.Y., 2013, The evolution of the random reversalgraph, AMC, Vol 227, 15, p.347–358, 2014

– Qin, J. and Reidys, C.M., 2013, On topological RNA interaction structures,JCB, July 2013,20(7):495–513

– Huang, W.D., Nebel, M.E. and Reidys, C.M., 2013, Uniform generation ofRNA pseudoknot structures with genus filtration. Math Biosci. 2013 Jul27.

– Han, H.S.W., Li, T.J.X., Reidys, C.M., 2013, Combinatorics of γ-structures.JCB, 2013, ISSN 1557–8666, 21(8), p. 591608.

– Fu, B.M.M., Han, H.S.W. and Reidys, C.M., 2013, On RNA-RNA inter-action structures of fixed topological genus Math. Biosci., (262), 2015, p.88–104.

– Fu, B.M.M. and Reidys, C.M., 2014, Shapes of interacting RNA complexesJ. Comp. Biol., in press. 21(9): p. 649664.

– Huang, F.W. and Reidys C.M., 2015, Shapes of topological RNA struc-tures, Math. Biosci, 2015. 270, Part A: p. 57–65.

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– Barrett, C., Huang F.W., and Reidys C.M., 2015, Evidence of higherorder patterns in information transmission between nucleotide sequencesand folded molecular shapes of RNA, 9th EAI International Conferenceon Bio-inspired Information and Communications Technologies (formerlyBIONETICS). 2015: New York City, New York, USA.

– Chen, R.X. and Reidys C.M., 2016, Plane permutations and applications toa result of Zagier-Stanley and distances of permutations, SIAM J. DiscreteMath. 30-3 (2016), p.1660–1684

– Barrett, C., Li, T.J.X., and Reidys C.M., 2016, RNA Secondary StructuresHaving a Compatible Sequence of Certain Nucleotide Ratios, JOURNALOF COMPUTATIONAL BIOLOGY, 23(11), 857–873.

– Li, T.J.X., and Reidys C.M., 2016, Statistics of topological RNA struc-tures, Journal of Mathematical Biology, November, 129. doi:10.1007/s00285-016-1078-1.

– Huang F.W., and Reidys C.M., 2016, Topological language for RNA,MATHEMATICAL BIOSCIENCES, 282, 109–120.

– Huang, F.W. and Reidys C.M., 2017, A topological framework for signedpermutations, Discrete Mathematics, https://doi.org/10.1016/j.disc.2017.03.019.

– Chen, R.X. and Reidys C.M., 2017, On the local genus distribution ofgraph embeddings, Journal of Combinatorial Mathematics and Combina-torial Computing, 101(2017), pp.157-173.

– Jrgen Ellegaard Andersen, Hiroyuki Fuji,Robert C. Penner, and ChristianM. Reidys, 2017, The boundary length and point spectrum enumerationof partial chord diagrams using cut and join recursion, Travaux mathema-tiques, Volume 25 (2017), 213232

– Ricky X. F. Chen and Christian M. Reidys, 2017,A combinatorial iden-tity concerning plane colored trees and its applications, Journal of IntegerSequences, 20 (2017), Article 17.3.7.

– Huang F, Reidys C, Rezazadegan R., 2017, Fatgraph models of RNA struc-tureMolecular Based Mathematical Biology. 2017;5(1):1–20.

• Michael Renardy

– (with Y. Renardy), On the stability of inviscid parallel shear flows with afree surface, J. Math. Fluid Mech. 15 (2013), pp. 129-137

– (with D. Bresch), Kelvin-Helmholtz instability with a free surface, Z.angew. Math. Phys. 64 (2013), pp. 905-915

– (with J. Olivier), On the generalization of the Hbraud-Lequeux model tomultidimensional flows, Arch. Rat. Mech. Anal. 208 (2013), pp. 569-601

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– On nonexistence of steady periodic solutions of the Prandtl equations, J.Fluid Mech. 717 (2013), R7, pp. 1-5

– Linear stability of steady flows of Jeffreys type fluids, in: H.P. Kruse etal. (eds.), Recent Trends in Dynamical Systems, Springer Proceedings inMathematics and Statistics, Vol. 35, Springer 2013, pp. 609-616

– On the eigenfunctions for Hookean and FENE dumbbell models, J. Rheol.57 (2013), pp. 1311-1324

– (with X.J. Wang), Well-posedness of boundary layer equations for time-dependent flow of non-Newtonian fluids, J. Math. Fluid Mech. 16 (2014),pp. 179-191

– (with S. Chowdhury, D. Mitra and M. Ramaswamy), Null controllabilityof the linearized compressible Navier Stokes system in one dimension, J.Diff. Eq. 257 (2014), pp. 3813-3849

– Korteweg stresses and admissibility criteria for shear banded flows, J. Non-Newtonian Fluid Mech. 213 (2014), pp. 68-72

– Well-posedness of the Prandtl boundary layer equations for the upper con-vected Maxwell fluid, J. Dyn. Diff. Eq. 27 (2015), pp. 981-988

– The initial value problem for creeping flow of the upper convected Maxwellfluid at high Weissenberg number, Math. Meth. Appl. Sci. 38 (2015), pp.959-965

– Prandtl boundary layers for the Phan-Thien Tanner and Giesekus fluid, Z.angew. Math. Phys. 66 (2015), pp. 1061-1070

– (with T. Wang), Large amplitude oscillatory shear flows for a model of athixotropic yield stress fluid, J. Non-Newtonian Fluid Mech. 222 (2015),pp. 1-17

– Backward uniqueness for linearized compressible flow, Evol. Eqns. ControlTh. 4 (2015), pp. 107-113

– A backward uniqueness result for the wave equation with absorbing bound-ary conditions, Evol. Eqns. Control Th. 4 (2015), pp. 347-353

– (with T. Wang), Development of shear bands for a model of a thixotropicyield stress fluid, J. Non-Newtonian Fluid Mech. 233 (2016), pp. 5-12

– Thixotropic yield stress fluids as a limit of viscoelasticity, D1 A5 R3D,Proc. XVIIth Internat. Congr. Rheology, Kyoto 2016.

– (with S. Chowdhury, D. Mitra and M. Ramaswamy), Approximate con-trollability results for linear viscoelastic flows, J. Math. Fluid Mech. 19(2017), pp. 529–549

– (with D. Mitra and M. Ramaswamy), Interior local null controllabilityof one-dimensional compressible flow near a constant steady state, Math.Meth. Appl. Sci. 40 (2017), pp. 3445–3478

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– (with D. Mitra), Interior local null controllability for multi-dimensionalcompressible flow near a constant state, it Nonlin. Anal. Real WorldAppl. 37 (2017), pp. 94–136

– (with D. Bresch), Development of congestion in compressible flow withsingular pressure, Asymptotic Analysis 103 (2017), pp. 95–101

– (with Y. Renardy), Stability of shear banded flow for a viscoelastic con-stitutive model with thixotropic yield stress behavior, J. Non-NewtonianFluid Mech. 244 (2017), pp. 57–74

– (with M. Lucacova-Medvid’ova, H. Mizerova and S. Necasova), Globalexistence result for the generalized Peterlin viscoelastic model, SIAM J.Math. Anal. 49 (2017), pp. 2950–2964

– The Rayleigh problem for a yield stress fluid with spurt, J. Non-NewtonianFluid Mech. 248 (2017), pp. 23–26

• Yuriko Renardy

– Pengtao Yue and Yuriko Renardy, 2013, Spontaneous penetration of anon-wetting drop into an exposed pore. Phys. Fluids. 25, 052104 (19pages).

– S. Afkhami and Y. Renardy, 2013, A volume-of-fluid formulation for thestudy of co-flowing fluids governed by the Hele-Shaw equations, Phys. Flu-ids. vol. 25 (8), pp 082001 (19 pages).

– Y. Renardy and H. Grant, 2013, Uniaxial extensional flow of a thixotropicyield stress fluid: a viscoelastic model, Rheologica Acta, Volume 52, Issue10 (2013), Page 867-879.

– H. Grant and Y. Renardy, 2015, Equibiaxial extension of a viscoelasticpartially extending strand convection model with large relaxation time.Rheol. Acta. 54, pp 563-579.

– M. and Y. Renardy, 2016, Thixotropy in yield stress fluids as a limit ofviscoelasticity. IMA Journal of Applied Mathematics 81, pp 1-16.

– Y. Renardy and H. V. Grant, 2016, Stretch and hold: The dynamics ofa filament governed by a viscoelastic constitutive model with thixotropicyield stress behavior, Phys. Fluids 28 (5) 053104.

– Y. Renardy and M. Renardy, 2017, Stability of shear banded flow fora viscoelastic constitutive model with thixotropic yield stress behavior.Journal of Non-Newtonian Fluid Mechanics. Vol. 244, June 2017, pp57–74.

– S. Afkhami and Y. Renardy, 2017, Ferrofluids and magnetically guided su-perparamagnetic particles in flows: a review of simulations and modeling.J. Eng. Math. 107(1),231–251.

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• John Rossi

– P.C. Fenton, J. Gohn, J. Heittokangas, J. Rossi, J., Rattya, On α-polynomialregular functions with applications to ODEs, Proc. Edinburgh Math. Soc.,57 (2014), 405-421.

– P.C. Fenton and John Rossi, Subharmonic functions that are harmonicwhen they are large, Anal. Math. Phys 4 (2014), no. 1-2, 115-130.

– J.K. Langley and John Rossi, Wiman-Valiron theory for a class of mero-morphic functions in the unit disc, Math. Proc. Royal Irish Math. Soc.(2014) No. 2, 137-148.

– P.C. Fenton and John Rossi, A non-power series approach to Wiman-Valiron Theory, Ann. Acad. Sci. Fenn. (2016) No. 1, 343-355.

• Edgar Saenz-Maldonado

– W. Floyd, G. Kelsey, S. Koch, R. Lodge, W. Parry, K. Pilgrim, E. Saenz,Origami, affine maps, and complex dynamics. Arnold Math. J. 3, 365–395(2017).

• Mark Shimozono

– (with T. Lam, L. Lapointe, and J. Morse) k-shape poset and branching ofk-Schur functions, Mem. Amer. Math. Soc. 223 (2013), no. 1050, vi+101pp.

– (with T. Lam) k-Double Schur functions and equivariant (co)homology ofthe affine Grassmannian. Math. Ann. 356 (2013), no. 4, 1379-1404.

– (with C. Lenart, S. Naito, D. Sagaki, A. Schilling) A uniform model forKirillov-Reshetikhin crystals. Extended abstract. DMCTS Proc. AS(2013) 25-36.

– (with T. Lam) Quantum double Schubert polynomials represent Schubertclasses. Proc. Amer. Math. Soc. 142 (2014), no. 3, 835-850.

– (with C. Lenart) Equivariant K-Chevalley Rules for Kac-Moody Flag Man-ifolds. Amer. J. Math. 136 (2014), no. 5, 1175-1213.

– (with C. Lenart, S. Naito, D. Sagaki, A. Schilling) A uniform modelfor Kirillov-Reshetikhin crystals I: Lifting the parabolic quantum Bruhatgraph. Int. Math. Res. Not.

– (With T. Lam, L. Lapointe, J. Morse, A. Schilling, and M. Zabrocki)k-Schur functions and affinne Schubert calculus. Fields Institute Mono-graphs, Vol. 33, Springer, 2014.

– (with C. Lenart, S. Naito, D. Sagaki, A. Schilling) A uniform modelfor Kirillov-Reshetikhin crystals I: Lifting the parabolic quantum Bruhatgraph. Int. Math. Res. Not.

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– (with C. Lenart, S. Naito, D. Sagaki, A. Schilling) Explicit descriptionof the degree function in terms of quantum Lakshmibai-Seshadri paths.Toyama Math. J. 37, 107–130.

– (with C. Lenart, S. Naito, D. Sagaki, A. Schilling) Quantum Lakshmibai-Seshadri paths and root operators, Proceedings of the 5th MathematicalSociety of Japan Seasonal Institute. Schubert Calculus, Osaka, Japan,2012; Advanced Studies in Pure Mathematics 71 (2016), 267–294.

– (with C. Lenart, S. Naito, D. Sagaki, A. Schilling) A Uniform Model forKirillovReshetikhin Crystals II. Alcove Model, Path Model, and P=X. Int.Math. Res. Notices (2017) no. 14, 4259–4319.

– (with C. Lenart, S. Naito, D. Sagaki, A. Schilling) A uniform model forKirillov-Reshetikhin crystals III: Nonsymmetric Macdonald poly- nomialsat t = 0 and Demazure characters. Transform. Groups 22 (2017), no. 4,1041–1079.

– (with D. Orr) Specializations of nonsymmetric Macdonald-Koornwinderpolynomials. J. Algebraic Combin. doi: 10.1007/s10801-017-0770-6

– (with C. Lenart, S. Naito, D. Sagaki, A. Schilling) Affine Crystals, Mac-donald polynomials, and combinatorial models. Revue Roumaine Math.Pures Appl. 62 (2017) 1, 113–135.

• Steven Silber

– Cai, J., Silber, S., Hwang, S., Nie, B., Moyer, J. C., & Wang, N. (2014).Problem-solving strategies as a measure of longitudinal curricular effectson student. In S. P. Liljedahl, C. O. Nicol, S. Oesterle, & D. Allan (Eds.),Proceedings of the joint meeting of the 38th International Group and the36th North American Chapter for the Psychology of Mathematics Edu-cation (Vol. II) (pp. 233–240). Vancouver, British Columbia, Canada:International Group for the Psychology of Mathematics Education.

– Cai, J., Hwang, S., Jiang, C. & Silber, S. (2015). Problem posing re-search in mathematics: Some answered and unanswered questions. In F.M.Singer, N. Ellerton, & J. Cai (Eds.), Problem Posing: From Research toEffective Practice. Springer.

– Marzocchi, A.S., Miller, E.K., & Silber, S.P. (2016). Charting paths to-ward “common ground”: Fostering collaboration between mathematiciansand mathematics educators: Review of Mathematics & Mathematics Ed-ucation: Searching for Common Ground by Michael N. Fried and TommyDreyfus (Eds., 2014). Journal for Research in Mathematics Education,47(2), 199–203.

– Cai, J., Silber, S., Hwang, S., Nie, B., Moyer, C., & Wang, N. (2016).The LieCal Project and Its Investigation of Problem-Solving Strategies

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as a Measure of Longitudinal Curricular Effects on Students’ Learning.REMATEC, 11(21), 123–140.

– Silber, S.P., & Cai, J. (2017). Pre-service Teachers’ Free and StructuredMathematical Problem Posing. International Journal of Mathematical Ed-ucation in Science and Technology. DOI: 10.1080/0020739X.2016.1232843

• Rebecca Steiner

– Effective Algebraicity, Archive for Mathematical Logic, 52 (2013), 91–112.

– On the Effectiveness of Symmetry Breaking, with R. Miller and R. Solomon,Language, Life, Limits: Tenth Conference on Computability in Europe,CiE 2014, eds. A. Beckmann, E. Csuhaj-Varju, and K. Meer, LectureNotes in Computer Science 8493 (Berlin: Springer-Verlag, 2014), 314–323.

• Shu-Ming Sun

– Buffoni, B., Groves, M. D., Sun, S. M, and Wahlen, E., Existence andconditional energetic stability of three-dimensional fully localized solitarygravity-capillary water waves. Journal of Differential Equations. 254(2013), 1006-1096.

– S. M. Sun, Exact theory of surface waves on water with surface tension.Mathematical Control and Related Fields, 3 (2014), 315-363.

– S. M. Sun, and N. Zhong, On effective convergence of numerical solutionsfor differential equations. ACM Transactions on Computation Theory 6(2014), 2578219.

– J. W. Choi, D. S. Lee, S. H. Oh, S. M. Sun, and S. I. Whang, Multi-humpsolutions of some singularly-perturbed equations of KdV type. DiscreteContin. Dyn. Syst. Ser. A 34 (2014), 5181–5209.

– J. W. Choi, D. S. Lee, S. H. Oh, S. M. Sun and S. I. Whang, Mathematical,numerical and experimental study of solitary waves. ”Nonlinear Dynamicsin Partial Differential Equations” (eds. Kawashima, S., Ei, S.-I., Kimura,M., and Mizumachi, T.), Advanced Studies in Pure Mathematics, Vol. 64,(2015), 263–271.

– S. M. Sun and N. Zhong, Computability aspects for 1st-order partial dif-ferential equations via characteristics. Theoretical Computer Science 583(2015), 27–39.

– S. M. Sun, N. Zhong, and M. Ziegler, On Computability of Navier-StokesEquation. ”Evolving Computability” (eds. Beckmann, A., Mitrana, V.,and Soskova, M.), Lecture Notes in Computer Science, Vol. 9136, (2015),334–342.

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– M. D. Groves, S. M. Sun, and E. Wahlen, A dimension-breaking phe-nomenon for water waves with weak surface tension. Archive for RationalMechanics and Analysis 220 (2016), 747–807.

– G. Gao and S. M. Sun, A Korteweg-de Vries type of fifth-order equations ona finite domain with point dissipation. Journal of Mathematical Analysisand Applications 438 (2016), 200–239.

– L. Ding and S. M. Sun, Existence of positive solutions for a class of Kirch-hoff type equations in R3. Discrete Contin. Dyn. Syst. Ser. S 9 (2016),1663–1685.

– M. D. Groves, S. M. Sun and E. Wahlen, Periodic solitons for the elliptic-elliptic focusing Davey-Stewartson equations. Comptes Rendus de l’Academiedes Sciences Paris - Series I 354 (2016), 486–492.

– R. Pego, R. and S. M. Sun, Linear spectrum analysis of solitary waterwaves. Archive for Rational Mechanics and Analysis 222 (2016), 1161–1216.

– J.-M. Yuan, H. Chen, and S. M. Sun, Existence and orbital stability ofsolitary-wave solutions for higher-order BBM equations. J. Math. Study49 (2016), 293–318.

– S. M. Sun, E. Trelat, B.-Y. Zhang, and N. Zhong, On sharpness of thelocal Kato-smoothing property for dispersive wave equations. Proc. Amer.Math. Soc. 145 (2017), 653–664.

– S. Deng and S, M. Sun, Multi-hump solutions with small oscillations atinfinity for stationary Swift-Hohenberg equation. Nonlinearity 30 (2017),765–809.

– J. L. Bona, S. M. Sun and B.-Y. Zhang, Nonhomogeneous boundary valueproblems of one-dimensional nonlinear Schrodinger equation, in press.

– R. A. Capistrano-Filho, S. M. Sun, and B.-Y. Zhang, General boundaryvalue problems of the Korteweg-de Vries equation on a bounded domain,Math. Control and Related Fields, in press.

• Jeffrey Truman

– Truman, J. (2015). “Mathematics learning among undergraduates on theautism spectrum.” In T. Bartell, K. Bieda, R. Putnam, K. Bradfield,and H. Dominguez (Eds.), Proceedings of the 37th Annual Meeting of theNorth American Chapter of the International Group for the Psychology ofMathematics Education pp. 574-577), East Lansing, MI: Michigan StateUniversity.

– Zazkis, R. & Truman, J. (2015). From trigonometry to number theoryand back: Extending LCM to rational numbers. Digital Experiences inMathematics Education, 1, 79–86.

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• James Turner

– Multiscale Coupling of Transcranial Direct Current Stimulation to NeuronElectrodynamics: Modeling the Influence of the Transcranial Electric Fieldon Neuronal Depolarization. Dougherty, E.T., Turner, J.C., and Vogel,F., Hindawi Publishing Corporation, Computational and MathematicalMethods in Medicine, Volume 2014, Article ID 360179.

• Peter Wapperom

– S.M. Mazahir, G.M. Velez-Garcıa, P.Wapperom, D.G. Baird, Evolutionof fiber orientation in radial direction in a center-gated disk: experimentsand simulation Composites Part A 51, 2013, pp. 108-117.

– M.J. Cieslinski, K.J. Meyer, J.T. Hofmann, P. Wapperom, D.G. Baird,Simulating orientation of long, semi-flexible glass fibers in three-dimensionalinjection molded thermoplastic composites, 13th Annual Automotive Com-posites Conference and Exhibition, SPE ACCE 2013, Novi, MI, USA,September 2013.

– S.M. Mazahir, G.M. Velez-Garcıa, P. Wapperom, D.G. Baird, Fiber ori-entation in the frontal region of a center-gated disk: Experiments andsimulation, Journal of Non-Newtonian Fluid Mechanics 216, 2015, p. 31-44.

– M.J. Cieslinski, P. Wapperom, D.G. Baird, Influence of fiber concentrationon the startup of shear flow behavior of long fiber suspensions, Journal ofNon-Newtonian Fluid Mechanics 222, 2015, p. 163-170.

– H. Chen, M.J. Cieslinski, P. Wapperom, D.G. Baird, Long fiber (glass)breakage in capillary and contraction flow, Proceedings of the Annual Tech-nical Conference and Exhibition, SPE Antec 2015, 5 pages.

– M.J. Cieslinski, D.G. Baird, P. Wapperom, Obtaining repeatable initialfiber orientation for the transient rheology of fiber suspensions in simpleshear flow, Journal of Rheology 60, 2016, p. 161-174.

– M.J. Cieslinski, P. Wapperom, D.G. Baird, Fiber orientation evolution insimple shear flow from a repeatable initial fiber orientation, Journal ofNon-Newtonian Fluid Mechanics 237, 2016, p. 65-75.

– H. Chen, P. Wapperom, D.G. Baird, Simulation of long semi-flexible fiberorientation during injection molding, Proceedings of the ASME 11th Inter-national Manufacturing Science and Engineering Conference, Blacksburg,VA, USA, June 2016, 6 pages.

– H. Chen, P. Wapperom, D.G. Baird, Simulation of long semi-flexible fiberorientation during injection molding, Proceedings of the Annual TechnicalConference and Exhibition, SPE Antec 2016, p. 483-487.

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– G. Lambert, P. Wapperom, D.G. Baird, Obtaining short-fiber orientationmodel parameters using non-lubricated squeeze flow, Physics of Fluids 29,2017, p. 121608:1–11.

– H. Chen, P. Wapperom, D.G. Baird, Effect of fiber length distribution onlong semi-flexible fiber orientation during injection molding, Proceedingsof the 33th Annual Meeting of the Polymer Processing Society, Cancun,Mexico, 2017.

• Tim Warburton

– T. Warburton, A Low Storage Curvilinear Discontinuous Galerkin Methodfor Wave Problems, SIAM Journal on Scientific Computing, Volume 35,Number 4, pp. A1987-A2012, 2013

– Jesse Chan and T. Warburton, hp-finite element trace inequalities for thepyramid, Computers and Mathematics with Applications, Volume 69, Issue6, pp. 510-517, 2015

– Shelvean Kapita, Peter Monk, and Timothy Warburton, Residual basedadaptivity and PWDG methods for the Helmholtz equation, SIAM Journalon Scientific Computing, Volume 37 Issue 3, pp. A1525-A1553, 2015

– R. Gandham, D.S. Medina and T. Warburton, GPU Accelerated Discon-tinuous Galerkin Methods for Shallow Water Equations, Communicationsin Computational Physics, Volume 18, Issue 1, pp. 37-64, 2015

– Jesse Chan and T. Warburton, A Comparison of High-Order Lagrange In-terpolation Nodes for the Pyramid, SIAM Journal on Scientific Computing,Volume 37, Issue 5, pp. A2151-2170, 2015

– S. Fahrenholtz, T. Moon, M. Franco, D. Medina, J. D. Hazle, R. J. Stafford,F. Maier, S. Danish, A. Gowda, A. Shetty, T. Warburton, and D. Fuentes,A Model Evaluation Study for Treatment Planning of Laser Induced Ther-mal Therapy, International Journal of Hyperthermia, Volume 31, Issue 7,2015

– Axel Modave, Amik St-Cyr, Wim A. Mulder, Tim Warburton, A nodal dis-continuous Galerkin method for reverse-time migration on GPU clusters,Geophysical Journal International, Volume 203, Issue 2, pp. 1419-1435,2015

– Jean-Francois Remacle, Rajesh Gandham, Timothy Warburton, GPU ac-celerated spectral finite elements on all-hex meshes, Journal of Computa-tional Physics, Volume 324, pp. 246–257, 2016

– A. Karakus, T. Warburton, M.H. Aksel, and C. Sert, A GPU acceleratedlevel set reinitialization for an adaptive discontinuous Galerkin method,Computers & Mathematics with Applications, Volume 72, Issue 3, August2016, Pages 755–767, 2016

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– Jesse Chan and T. Warburton A short note on a Bernstein-Bezier basisfor the pyramid, SIAM Journal of Scientific Computing, Volume 38, Issue4, pp. A2162–A217, 2016

– Jesse Chan, Zheng Wang, Axel Modave, Jean-Francois Remacle, and T.Warburton, GPU-accelerated discontinuous Galerkin methods on hybridmeshes, Journal of Computational Physics, Volume 318, Pages 142–168,2016

– Jesse Chan and T. Warburton, Orthogonal Bases For Vertex-mapped Pyra-mids, SIAM Journal of Scientific Computing, Volume 38, Issue 2, pp.A1146–A1170, 2016

– A. Karakus, T. Warburton, M.H. Aksel and C. Sert, A GPU AcceleratedAdaptive Discontinuous Galerkin Method for Level Set Equation, Interna-tional Journal of Computational Fluid Dynamics, Volume 30, Issue 1, pp.56–68, 2016

– Florian Kummer and T. Warburton, Patch-recovery filters for curvature indiscontinuous Galerkin-based level-set methods, Communications in Com-putational Physics, Volume 19, Issue 2, pp. 329–353, 2016

– Cheng Chen, Zheng Wang, Deepak Majeti, Nick Vrvilo, Timothy War-burton, Vivek Sarkar, and Gang Li, Optimization of Lattice BoltzmannSimulation by GPU Parallel Computing and the Application in ReservoirCharacterization, Society of Petroleum Engineers Journal, Volume 21, Is-sue 4, pp. 1425–1435. SPE-179733-PA, 2016

– A. Modave, A. St-Cyr, T. Warburton, GPU performance analysis of anodal discontinuous Galerkin method for acoustic and elastic models, Com-puters & Geosciences, Volume 91, pp. 64–76, 2016

– Jesse Chan, Russell J. Hewett, and T. Warburton, Weight-adjusted dis-continuous Galerkin methods: wave propagation in heterogeneous media,SIAM Journal on Scientific Computing Volume 39, Issue 6, pp. A293–A2961, 2017

– Daniel S. Abdi, Francis X. Giraldo, Emil M. Constantinescu, Lester E. CarrIII, Lucas C. Wilcox, Timothy Warburton, Acceleration of the Implicit-Explicit Non-hydrostatic Unified Model of the Atmosphere (NUMA) onManycore Processors, International Journal of High Performance Com-puting, 2017

– Jesse Chan, Russell J. Hewett, and T. Warburton, Weight-adjusted discon-tinuous Galerkin methods: curvilinear meshes, SIAM Journal on ScientificComputing Volume 39 (6), A2395–A2421, 2017

– Jesse Chan, T. Warburton, On the penalty stabilization mechanism forfirst order discontinuous Galerkin formulations, Computers & Mathematicswith Applications, Volume 74, Issue 12, pp. 3099–3110, 2017

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– Axel Modave, Andreas Atle, Jesse Chan, Tim Warburton, High-orderabsorbing boundary conditions with corner/edge compatibility for GPU-accelerated discontinuous Galerkin wave simulations, International Journalfor Numerical Methods in Engineering, Volume 112, Issue 11, pp. 1659–1686, 2017

– Arturo Vargas, Jesse Chan, Thomas Hagstrom, Tim Warburton, Varia-tions on Hermite methods for wave propagation, Communications in Com-putational Physics, Volume 22, Number 2, pp. 303–337, 2017

– Jesse Chan and T. Warburton, GPU-Accelerated Bernstein-Bezier Discon-tinuous Galerkin Methods for Wave Problems,SIAM Journal on ScientificComputing, Volume 39, Issue 2, pp. A628–A654, 2017

– Jesse Chan, Russell J. Hewett, Zheng Wang, and T. Warburton, Reducedstorage nodal discontinuous Galerkin methods on semi-structured pris-matic meshes, Computers and Mathematics with Applications, Volume73, pp. 775–793, 2017

– D.S. Abdi, L. Wilcox, T. Warburton, F.X. Giraldo, A GPU-acceleratedcontinuous and discontinuous Galerkin non-hydrostatic atmospheric model,International Journal for High-Performance Computing Applications, 2017

• Megan Wawro

– Wawro, M., & Plaxco, P. (2013). Utilizing types of mathematical activitiesto facilitate characterizing student understanding of span and linear inde-pendence. In (Eds.) S. Brown, G. Karakok, K. H. Roh, and M. Oehrtman,Proceedings of the 16th Annual Conference on Research in UndergraduateMathematics Education, Volume I (pp. 1-15), Denver, Colorado.

– Wawro, M., Rasmussen, C., Zandieh, M., & Larson, C. (2013). Designresearch within undergraduate mathematics education: An example fromintroductory linear algebra. In T. Plomp, & N. Nieveen (Eds.), Educa-tional design research – Part B: Illustrative cases (pp. 905-925). Enschede,the Netherlands: SLO.

– Wawro, M. (2014). Student reasoning about the invertible matrix theo-rem in linear algebra. ZDM The International Journal on MathematicsEducation, 46(3), 1-18.

– Wawro, M., Ellis, J., & Soto-Johnson, H. (2014). MPWR: Mentoring andpartnerships for women in RUME. Association for Women in MathematicsNewsletter, 44(5), 20-23.

– Selinski, N., Rasmussen, C., Wawro, M., & Zandieh, M. (2014). A method-ology for using adjacency matrices to analyze the connections studentsmake between concepts: The case of linear algebra. Journal for Researchin Mathematics Education, 45(5), 550-583.

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– Rasmussen, C., Wawro, M., & Zandieh, M. (2015). Examining individualand collective level mathematical progress. Education Studies in Mathe-matics, 88(2), 259-281.

– Plaxco, D., & Wawro, M. (2015). Analyzing student understanding inlinear algebra through mathematical activity. Journal of MathematicalBehavior, 38, 87-100.

– Wawro, M. (2015). Reasoning about solutions in linear algebra: The caseof Abraham and the Invertible Matrix Theorem. International Journal ofResearch in Undergraduate Mathematics Education, 1(3), 315-338.

– Wawro, M., & Plaxco, D. (2015). Student understanding of linear indepen-dence of functions. Proceedings of the 9th Congress of European Researchon Mathematics Education, Prague, Czech Republic.

– Wawro, M. (2016). Finding synergy among research, teaching, and service:An example from mathematics education research. In J. Dewar, P. Hsu,& H. Pollatsek (Eds.), Mathematics Education: A Spectrum of Work inMathematical Sciences Departments (pp. 135-145). Springer InternationalPublishing.

– Jaworski, B., Potari, D., Rasmussen, C., Oates, G., Kwon, O.N., Ellis, J.,... Zachariades, T. (2016). Mathematics Learning and Teaching at Univer-sity Level. In Csikos, C., Rausch, A., & Szitanyi, J. (Eds.), Proceedingsof the 40th Conference of the International Group for the Psychology ofMathematics Education, Vol. 1, pp. 375–404. Szeged, Hungary: PME.

– Zandieh, M., Wawro, M., & Rasmussen, C. (2017). An example of inquiryin linear algebra: The roles of symbolizing and brokering. PRIMUS, 27(1),96–124.

– Andrews-Larson, C., Wawro, M., & Zandieh, M. (2017). A hypotheticallearning trajectory for conceptualizing matrices as linear transformations.International Journal of Mathematical Education in Science and Technol-ogy, 48(6), 809–829.

– Rasmussen, C., & Wawro, M. (2017). Post-calculus research in under-graduate mathematics education. In J. Cai, (Ed.), The compendium forresearch in mathematics education (pp. 551–579). Reston VA: NationalCouncil of Teachers of Mathematics.

– Wawro, M., Watson, K., & Christensen, W. (2017). Meta-representationalcompetence with linear algebra in quantum mechanics. In T. Dooley &G. Gueudet (Eds.), Proceedings of the Tenth Congress of the EuropeanSociety for Research in Mathematics Education (pp. 2282–2289), Dublin,Ireland: DCU Institute of Education and ERME.

– Watson, K., Wawro, M., Zandieh, M., & Kerrigan, S. (2017). Knowl-edge about student understanding of eigentheory: Information gained from

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– Wawro, M., Watson, K., & Christensen, W. (2017). Meta-representationalcompetence with linear algebra in quantum mechanics. In A. Weinberg,C. Rasmussen, J. Rabin, M. Wawro, and S. Brown (Eds.), Proceedings ofthe 20th Annual Conference on Research in Undergraduate MathematicsEducation (pp. 326–337), San Diego, CA.

– Plaxco, D., Zandieh, M., & Wawro, M. (in press). Stretch Directionsand Stretch Factors: A Sequence Intended to Support Guided Reinventionof Eigenvector and Eigenvalue. In S. Stewart, C. Andrews-Larson, A.Berman, & M. Zandieh (Eds.), Challenges In Teaching Linear Algebra.Springer.

• Pengtao Yue

– T. Qin, S. Ragab, and P. Yue, Axisymmetric simulation of the interactionof a rising bubble with a rigid surface in viscous flow. Int. J. MultiphaseFlow. 52 (2013) 60-70.

– Y. Hou, P. Yue, L. Wang, W. Sun, T. Pauli, D. Wang, W. Zhou, and M.Hu. Phase field modeling of Mode I cracking failure in asphalt binder. The92nd Annual Meeting of Transportation Research Board Compendium ofPapers, Paper #13-1554, 2013.

– Yue, P. and Renardy, Y. (2013) Spontaneous penetration of a non-wettingdrop into an exposed pore. Physics of Fluids, 25: 052104.

– Qin T., Ragab S., and Yue P. (2013) Axisymmetric simulation of the inter-action of a rising bubble with a rigid surface in viscous flow. InternationalJournal of Multiphase Flow, 52: 60-70.

– Hou, Y., Zhang, L., Yue, P., Pauli, T., Sun, F., and Wang, L. (2013)Mode II cracking failure in asphalt concrete by using a non-conserved phasefield model. Multiscale Modeling and Characterization: Proceedings ofthe International RILEM Symposium Stockholm, June 2013, editors: N.Kringos, B. Birgisson, D. Frost, and L. Wang, Springer Netherlands, 2013,pages 127-138. (DOI: 10.1007/978-94-007-6878-9 10).

– Hou Y., Yue P., Xin Q., Pauli T., Sun W., and Wang L. (2014) Fracturefailure of asphalt binder in mixed mode (Mode I & Mode II) by using phasefield model. Road Materials and Pavement Design, 15(1): 167-181.

– Y. Hou, L. Wang, P. Yue, T. Pauli, and W. Sun, Modeling mode I crack-ing failure in asphalt binder by using nonconserved phase-field model. J.Mater. Civ. Eng. 26 (2014), 684-691.

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– H. Mohammadigoushki, P. Yue, J.J. Feng, Bubble migration in two-dimensionalfoam sheared in a wide-gap Couette device: Effects of non-Newtonian rhe-ology. J. Rheol. 58 (2014) 1809-1827.

– Y. Hou, L. Wang, P. Yue, and W. Sun, Fracture failure in crack interactionof asphalt binder by using a phase field approach. Mater. Struct. 48 (2015)2997-3008.

– I. Rukshin, J. Mohrenweiser, P. Yue, and S. Afkhami, Modeling super-paramagnetic particles in blood flow for applications in magnetic drugtargeting. Fluids, 2(2): 29, 2017 (12 pages)

– F.-C. Yang, X.-P. Chen, and P. Yue, Surface roughness effects on contactline motion with small capillary number. Physics of Fluids (in press)

• Lizette Zietsman

– Infinite dimensional delay differential equations in control and sensitivityanalysis, (with J. A. Burns and T. L. Herdman), Mathematics in Engi-neering, Science & Aerospace (MESA), 2013, Vol. 4 Issue 2, p131-157.

– Approximating Parabolic Boundary Control Problems with Delayed Ac-tuator Dynamics (with J. A. Burns and T. L. Herdman), Proceedings ofthe 2013 American Control Conference, Paper Number MoC14.4, pages2080-2085, 2013.

– Control of PDE systems with delays (with J. A. Burns and T. L. Herdman),Proceedings 1st International Federation of Automatic Control Conferenceon Control of Partial Differential Equations, pages 85-90, September, 2013.

– Parametric Reduced Order Models Using Adaptive Sampling and Interpo-lation, (with J. Borggaard and K. Pond), Proceedings of the 19th Interna-tional Federation of Automatic Control World Congress, 10.3182/20140824-6-ZA-1003.02664, pages 7773-7778, August 2014.

– Compensators via H2-based Model Reduction and Proper Orthogonal De-composition, (with J. Borggaard and S. Gugercin), Proceedings of the 19thInternational Federation of Automatic Control World Congress, 10.3182/20140824-6-ZA-1003.02689, pages 7780-7784, August 2014.

– Using Functional Gains for Effective Sensor Location in Flow Control: Ai Reduced-order Modelling Approach (with I. Akhtar, J. Borggaard, J.A.Burns, H. Imtiaz), Journal of Fluid Mechanics, Vol 781, p 622–656, 2015.

– A Goal-Oriented Reduced-Order Modeling Approach for Nonlinear Sys-tems (with J. Borggaard and Z. Wang), Computers and Mathematics withApplications, Vol. 71, No. 11, pages 2155–2169 (2016)

– Feedback Stabilization of Fluids Using Reduced-Order Models for Con-trol and Compensator Design, (with J. Borggaard and S. Gugercin), in

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Proceedings of the 55th IEEE Conference on Decision and Control, pages7579–7585, Paper Number WeC21.5, December 2016.

– Control of a thermal fluid heat exchanger with actuator dynamics. (withJ. A. Burns), in Proceedings of the 55th IEEE Conference on Decision andControl, pages 3131–3136, Paper Number TuA15.4, December 2016.

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