dr mirjana stojanovic´ list of referencespeople.dmi.uns.ac.rs/~stojanovic/selected2.pdfdr mirjana...

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DR MIRJANA STOJANOVI ´ C LIST OF REFERENCES 1. Stojanovi´ c M., An Uniformly Convergent quadratic Spline Difference Scheme for Singular Perturbation Problem, Mat.Vesn.39(1987),N4,463- 473 2. Stojanovi´ c M., A First Order Accuracy Scheme on Non-Uniform Mesh, Publ.Inst.Math.42(56),1987,155-165. 3. Surla, K., Stojanovi´ c M., Singularly Perturbed Spline Difference Scheme on Non-Equidistant Grid, Z. angew. Math. Mech. 68(1988) 3, 171-180. 4. Stojanovi´ c M., Numerical Solution of Initial and Singularly Perturbed Two-Point Boundary Value Problems Using Adaptive Spline Function Approximation, Pub.Inst.Math.,43(57),(1988),155-163 5. Surla K., Stojanovi´ c M., A Solving Singularly Perturbed Boundary Value Problem by Spline in Tension, J.Comput. Appl.Math.24(1988),355-363. 6. Stojanovi´ c, M., Stojmenovi´ c, I., On Deletion of Reflex Elements from Circular Doubly Linked Lists, Informatika 4(1988)pp.36-39. 7. Stojanovi´ c, M., Kulpinski M., A Quadratic Spline Collocation Method for Singular Two-point Boundary Value Problems, Zb. rad. Fil.Fak. (Niˇ s), Ser. Mat. 3(1989),p.43-49. 8. Stojanovi´ c, M., A Posteriori Improvement of Adaptive Spline Function Approximation, Mathematica Balcanica, New Series, Vol. 3, (1989), Fasc. 3-4, 257-263. 9. Stojanovi´ c, M., Numerical Solution of a Singularly Perturbed Problem via Exponential Splines, BIT 30,1(1990),171-176. 10. Stojanovi´ c, M., A Uniformly Accurate Spline Collocation Method for SPP, Calcolo, , No.1-2, 27(1990), 81-88 11. Stojanovi´ c, M., Exponential Cubic spline and SPP, Faca Universitatis, Niˇ s, Ser. Math. Inform. 5(1990), 129-141. 1

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DR MIRJANA STOJANOVICLIST OF REFERENCES

1. Stojanovic M., An Uniformly Convergent quadratic Spline DifferenceScheme for Singular Perturbation Problem, Mat.Vesn.39(1987),N4,463-473

2. Stojanovic M., A First Order Accuracy Scheme on Non-Uniform Mesh,Publ.Inst.Math.42(56),1987,155-165.

3. Surla, K., Stojanovic M., Singularly Perturbed Spline Difference Schemeon Non-Equidistant Grid , Z. angew. Math. Mech. 68(1988) 3, 171-180.

4. Stojanovic M., Numerical Solution of Initial and Singularly PerturbedTwo-Point Boundary Value Problems Using Adaptive Spline FunctionApproximation , Pub.Inst.Math.,43(57),(1988),155-163

5. Surla K., Stojanovic M., A Solving Singularly Perturbed Boundary ValueProblem by Spline in Tension, J.Comput. Appl.Math.24(1988),355-363.

6. Stojanovic, M., Stojmenovic, I., On Deletion of Reflex Elements fromCircular Doubly Linked Lists , Informatika 4(1988)pp.36-39.

7. Stojanovic, M., Kulpinski M., A Quadratic Spline Collocation Methodfor Singular Two-point Boundary Value Problems, Zb. rad. Fil.Fak.(Nis), Ser. Mat. 3(1989),p.43-49.

8. Stojanovic, M., A Posteriori Improvement of Adaptive Spline FunctionApproximation , Mathematica Balcanica, New Series, Vol. 3, (1989), Fasc.3-4, 257-263.

9. Stojanovic, M., Numerical Solution of a Singularly Perturbed Problemvia Exponential Splines, BIT 30,1(1990),171-176.

10. Stojanovic, M., A Uniformly Accurate Spline Collocation Method forSPP, Calcolo, , No.1-2, 27(1990), 81-88

11. Stojanovic, M., Exponential Cubic spline and SPP, Faca Universitatis,Nis, Ser. Math. Inform. 5(1990), 129-141.

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12. Pilipovic, S., Stojanovic, M., On the Convolution based on the LaguarreExpansions of Generalized Functions, Godishnik Vissh. Uchebn. Zaved.Prilozhna Mat. 25(1989), no. 3, 109-120 (1991); CNO 1322373.

13. Stojanovic, M., A Difference Method for a non-self adjoint SingularPerturbation Problem of Second Order, Appl. Math. Modelling, 7,15(1991), 381-385.

14. Stojanovic, M.,Exponential Spline dif.scheme for SPP with mixed bound-ary conditions, Comm. Appl.Numer. Methods 7(1991), 625-632.

15. Stojanovic, M., Laguerre expansion of generalized functions -numericalapproach, PHD thesis, Novi Sad, 1991.

16. Stojanovic, M., On the optimal Convergence, Z. Anal. Anwegendungen ,Vol. 11(1992),1,125-134.

17. Pilipovic, S., Stojanovic, M., Solving Convolution equation inS′+ by Nu-merical method, Publ.Math.Debrecen, 40/1-2(1992), 17-33.

18. Stojanovic, M., Uniform finite elements method for SPP, Math. Bal-canica, New Series, Vol.6, (1992), Fasc. 1, 3-12.

19. Pilipovic, S., Stojanovic, M., Modified Mellin Transform and Convolu-tion, Univ. Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 22, 2(1992),109-126.

20. Pilipovic, S., Stojanovic, M., (α,β)-convolution and its Applications, Univ.Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 23, 1(1993), 65-86.

21. Pilipovic , S. Stojanovic , M . , GeneralizedB−transform on the SpacesLG′0 (resp. LG′e) , Rend. Cir. Matem. Palermo, II, 33(1993), 415-426.

22. Stojanovic , M. , An applications of the GeneralizedB−transform Univ.Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 24, 1(1994), 109-128.

23. Pilipovic , S. , Stojanovic M. , B-transform and its quasiasymptotics -applications to the convolution equation(xuxx+2ux +mu)∗g = h, Publ.Math. Debrecen, 44/3-4(1994) , 275-283.

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24. Stojanovic M. , Exponentially fitted Petrov- Galerkin Method of finiteElements, Math. Balcanica, New Series Vol.8 Fasc. 2-3, (1994), 231-238.

25. Stojanovic M. , On the Optimally Convergent Splines Difference Schemefor one-dimensional Reaction-diffusion problemAppl. Math. Mod-elling, 18(1994), 461-466.

26. Stojanovic M. , ε-convergent splines difference schemePubl. Math. De-brecen 45/3-4 (1994), 397-405.

27. Stojanovic M.,Singularly Perturbed Spline Collocation Method,Journalof Mathematical and Physical Sciences, Vol. 29, No. 5, (1995), 189-205.

28. Pilipovic S., Stojanovic M., The strong quasiasymptotics and a Cauchyproblem, X Conf. on Applied Math., (ed. D. Herceg), N. Sad, Inst. ofMath. (1995), 167-174.

29. Stojanovic M. , On the Convolution Equations over the Quarter- PlaneNovi Sad J. Math. Vol. (1)26, No.2, (1996), 127-149.

30. Stojanovic M.,Optimally Accurate Petrov-Galerkin Method of FiniteElements, Approx. Theory& its Appl. 12:2, June, (1996), 86-98.

31. Pilipovic S., Stojanovic M., Modified Bessel Transform on the SpacesLG′α, Indian Journal of Pure and Applied Mathematics, 27(3), (1996), 265-275.

32. Stojanovic M.,Quadratic Mid-point Spline Difference Scheme, An. St.Univ. Ovidius Constanta, vol. 5(1),(1996), 127-138,

33. Stojanovic M., Splines Difference Method for SPP, Applied NumericalMathematics, 21(1996),321-333.

34. Stojanovic M., An Application of the Exponential Cubic Splines to Nu-merical Solution of a Self-Adjoint Perturbation Problem, Approx. The-ory & its Appls., 14:2, June (1998), 38-43.

35. Pilipovic S., Stojanovic M., Generalized Goursat’s Problem and Quasi-asymptotics of a Solution, Facta Univ. Ser. Math. Inform. 13 (1998),33-44.

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36. Stojanovic M. Uniform and Optimal Difference Schemes for problemswith boundary layer , Communication in Applied Analysis 3(1999), n0. 1,59-72.

37. Pilipovic S., Stojanovic M., Generalized Solutions to Nonlinear VolterraIntegral Equations with Non-Lipshitz Nonlinearity, Nonlinear Analysis,37(1999), 319-335.

38. Pilipovic S., Stojanovic M., On the behaviour of Colombeau’s general-ized function at a point-application to semilinear hyperbolic system,Publication Debrecen, 51/1-2(1997), 111-126.

39. Pilipovic S., Stojanovic M., Quasi-asymptotics and nonlinear problemsin a framework of of Colombeau generalized functions, Analysis of di-vergence (Orono, ME, 1997), 545-567, Appl. Numer. Harmon. Anal.,Birkhuser Boston, Boston, MA, (1999).

40. Pilipovic S., Stojanovic M., G-quasiasymptotics at infinity, Acta Math.Hungar., 84(1-2), (1999), 115-127.

41. Pilipovic S., Stojanovic M., Nonlinear quasiasymptotic expansion at zeroto generalized solutions, Bull. Acad. Serbe, No. 24, (1999), 19-33.

42. Pilipovic S., Stojanovic M., G-quasiasymptotics of semilinear hyperbolicsystem,Rew. res. Novi Sad, (2003).

43. Pilipovic S., Stojanovic M., Despotovic N. D., The quasiasymptotic Ex-pansion at zero and Generalized Watson lemma for Colombeau gener-alized functions,Publ. Math. Debrecen, vol. 57/1-2(2ooo),11-23.

44. Stojanovic, M.,Spline Collocation Method for SPP., Glasnik Matematicki,Vol.37(57)(2002),393-403.

45. Stojanovic, M.,An Uniformly Accurate Finite Elements Method for SPPrevised, Glasnik Mat. Vol. 38(58), 185-197, (2003).

46. Pilipovic, S., Stojanovic, M.,Voltera type integral equations with po-lar kernels, Non Linear Algebraic Analysis, Proceedings of the Interna-tional Conference on Generalized Functions ICGF2000 (April 16-21, 2000; Pointe a Pitre), Ed: A. Delcroix, M. Hasler, J-A Marti, V. Valmorin, Taylor& Fransis, London, (2004). .

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47. Stojanovic, M., Nonlinear non-Lipschitz polar Volterra integral equa-tion in weighted Colombeau spaces, Progress in analysis, Vol. I, II (Berlin,2001), 1469-1479, World Sci. Publishing, River Edge, NJ, (2003).

48. S. Pilipovic, M. Stojanovic, M. Volterra-type equations in the spaceS ′+,(Russian) Mat. Zametki 75 (2004), no. 1, 135-141; translation in Math.Notes 75 (2004), no. 1-2, 124-130.

49. S. Pilipovic, M. Stojanovic, G-quasi-asymptotic at infinity to semilinearhyperbolic system, Novi Sad, J. Math. Vol. 33, No. 1., (2004).

50. Pilipovic, S., Stojanovic, M.,Volterra type integral equations with singu-larities, Non Linear Algebraic Analysis, Proceedings of the InternationalConference on Generalized Functions ICGF2000 (April 16-21, 2000 ; Pointea Pitre), Ed: A. Delcroix, M. Hasler, J-A Marti, V. Valmorin, Taylor& Fran-sis, London, (2004), 253-268.

51. S. Pilipovic, M. Stojanovic, Quasi-asymptotic analysis in Colombeau al-gebra, J. Math. Anal. Applic., Volume302, Issue 1 , 1 February (2005),Pages 97-128 .

52. Stojanovic M., Global convergence method for SPP two-point boundaryvalue problem,J. Comput. Applied Math., 181 (2005), 326-335.

53. Stojanovic M., Nonlinear parabolic equations with singularities in Co-lombeau vector spaces, Acta Math. Sin. (Engl. Ser.) 22 (2006), no. 2,393–406.

54. Stojanovic M., Nonlinear Schrodinger equation with delta potential andinitial data , Nonlinear Analysis,64, (2006), 1460-1474.

55. Stojanovic M., Perturbed Schrodinger equation with singular potentialand the initial data,Comm. in Contemp. Math. Vol. 8, No. 4, 433-453,August(2006).

56. Stojanovic M., System of nonlinear Volterra integral equations with po-lar kernel and singularities, Nonlinear Analysis,66, (2007),1547-1557.

57. Pilipovi c, Stevan; Stojanovic, Mirjana, Fractional differential equa-tions through Laguerre expansions in abstract spaces: error estimates.Integral Transforms Spec. Funct. 17 (2006), no. 12, 877–887.

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58. Stojanovic M., Nonlinear parabolic equations with regularized deriva-tives in Colombeau algebra, Acta Appl. Math. 92 (2006), 1-14.

59. Stojanovic M., Splitting S ′+ space into the union of Banach spaces throughLaguerre expansions, Computational methods in applied mathematics, Vol.6(2006), No. 3, pp. 1-9.

60. Mainardi F., Gorenflo R., Mura A., Stojanovic M. Two forms of fractionalrelaxation, Journal of vibration and control ( JVC), 1 September 2007; Vol.13, No. 9-10 (2007).

61. Stojanovic M. Gorenflo R., Difussion-wave phenomena, PAMM, Vol.7, Issue 1, Date: September 2007, pages 1030207-1030208.Proc. I.Congress, ICIAM07, Zurich, (2007).

62. Stojanovic M., Regularization for heat kernel in nonlinear parabolicequations, Taiwaneese J. of Math. Vol. 12, No. 1, pp. 51-78, February(2008). This paper is available online at http://www.math.nthu.edu.tw/tjm.

63. Stojanovic M., Existence-uniqueness result for a nonlinearn-terms frac-tional equation , Journal of Mathematical Analysis and Applications353(2009), 244-255.

64. Stojanovic M., Solving n-term time fractional diffusion-wave problemvia a method of approximation of tempered convolution, Phys. Scr.T134, (2009).

65. Stojanovic M., Extension of Colombeau algebra to derivatives of arbi-trary order Dα, α ∈ R+ ∪ {0}. Application to ODEs and PDEs withentire and fractional derivatives, Nonlinear analysis, Theory, Methods&Applications, Vol.71, Issue 11, 1 Dec., p. 5458-5475, (2009).

66. Stojanovic M., Well-posedness of diffusion-wave problem with arbitraryfinite number of time fractional derivatives in the Sobolev spacesHs

Fract. Calc. and Appl. Anal., Vol.13, No 1, February (2010).

67. Stojanovic M., Gorenflo R.,Nonlinear two-term time-fractional diffusion-wave problem, Nonlinear Analysis: Real World Applications11 (2010),3512-3523.

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68. Rajter-Ciric D., Stojanovic M., Convolution-type derivatives and trans-forms of Colombeau generalized stochastic processes, Integral Trans-forms and Special Functions, Volume22 Issue 4& 5, 2011, Pages 319 -326, DOI:10.1080/10652469.2010.541047.

69. Stojanovic M., Numerical method for solving diffusion-wave phenom-ena, Journal of Computational and Applied Mathematics, (2010), DOI in-formation:10.1016/j.cam.2010.12.010.

70. Stojanovic M., Numerical method for solving diffusion-wave phenom-ena, Journal of Computational and Applied Mathematics, Vol.235, Issue10, 15 March 2011, 3121-3137, DOI information:10.1016/j.cam.2010.12.010.

71. Stojanovic M., Fractional derivatives in spaces of generalized functions,FCAA, Fract. Calc. Appl. Anal. Vol.14, No 1 (2011), pp.125-137, DOI:10.2478/s13540-011-0009-5.

72. Stojanovic M., Foundation of the fractional calculus in generalized func-tions algebra, Analysis and Applications, (2011).

73. Stojanovic M., Relaxation equations of distributed order, Nonlinear Analysis-World of Applications, doi:10.1016/j.nonrwa.2011.08.028 (2011).

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