NEW BITS AND BUGS A Scientific and Historical Review of Software Failures in Computational ScienceThomas Huckle & Tobias NeckelFeb 2019 251pp9781611975550 Paperback £44.95 / €49.00Software, Environments, and Tools, Vol. 29

In scientific computing (also known as computational science), advanced computing capabilities are used to solve complex problems. This self-contained book describes and analyses reported software failures related to the major topics within scientific computing: mathematical modeling of phenomena; numerical analysis (number representation, rounding, conditioning); mathematical aspects and complexity of algorithms, systems, or software; concurrent computing (parallelization, scheduling, synchronization); and numerical data (such as input of data and design of control logic).

NEW COMPUTATIONAL MATHEMATICS WITH SAGEMATHPaul Zimmermann et alJan 2019 464pp9781611975451 Paperback £70.50 / €77.00"This fantastic and deep book about how to use Sage for learning and doing mathematics at all levels perfectly complements the existing Sage documentation. It is filled with many carefully

thought through examples and exercises, and great care has been taken to put computational functionality into proper mathematical context. Flip to almost any random page in this amazing book, and you will learn how to play with and visualize some beautiful part of mathematics."—William A. Stein, CEO, SageMath, and professor of mathematics, University of Washington

NEW INTRODUCTION TO HIGH PERFORMANCE SCIENTIFIC COMPUTINGDavid L. ChoppMar 2019 453pp9781611975635 Paperback £89.98 / €99.00Software, Environments, and Tools, Vol. 30Based on a course developed by the author, Introduction

to High Performance Scientific Computing introduces methods for adding parallelism to numerical methods for solving differential equations. It contains exercises and programming projects that facilitate learning as well as examples and discussions based on the C programming language, with additional comments for those already familiar with C++.The text provides an overview of concepts and algorithmic techniques for modern scientific computing and is divided into six self-contained parts that can be assembled in any order to create an introductory course using available computer hardware.

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COMPUTATIONAL UNCERTAINTY QUANTIFICATION FOR INVERSE PROBLEMSJohnathan M. Bardsley2018 135pp9781611975376 Paperback £59.95 / €66.00 Computational Science and Engineering, Vol. 19

Offers an introduction to both computational inverse problems and uncertainty quantification (UQ) for inverse problems. The book also presents more advanced material on Bayesian methods and UQ, including Markov chain Monte Carlo sampling methods for UQ in inverse problems.

NEW FINITE ELEMENT EXTERIOR CALCULUSDouglas N. ArnoldJan 2019 120pp9781611975536 Paperback £54.95 / €60.00 CBMS-NSF Regional Conference Series in Applied Mathematics, Vol. 93Presents the fundamentals of

finite element exterior calculus, including the geometrical and functional analysis preliminaries, quickly and in one place. The book is also for mathematicians from areas other than numerical analysis who are interested in understanding how techniques from geometry and topology play a role in numerical PDEs.

FREQUENCY DOMAIN TECHNIQUES FOR H∞ CONTROL OF DISTRIBUTED PARAMETER SYSTEMSHitay Özbay et al2018 192pp9781611975390 Paperback £80.50 / €88.00

Advances in Design and Control, Vol. 32Presents new computational tools for the H∞ control of distributed parameter systems in which transfer functions are considered as input-output descriptions for the plants to be controlled. The emphasis is on the computation of the controller parameters and reliable implementation.

NEW AN INTRODUCTION TO SINGULAR INTEGRALS Jacques PeyrièreJan 2019 115pp9781611975413 Paperback £59.95 / €66.00 Other Titles in Applied Mathematics, Vol. 159Provides basic, essential knowledge of some of the tools of real analysis:

the Hardy–Littlewood maximal operator, the Calderón–Zygmund theory, the Littlewood–Paley theory, interpolation of spaces and operators, and the basics of H1 and BMO spaces. This concise text offers brief proofs and exercises of various difficulties designed to challenge and engage students.

NEW INTRODUCTION TO THE SCENARIO APPROACHMarco C. Campi & Simone GarattiJan 2019 114pp9781611975437 Paperback £54.95 / €60.00 MOS-SIAM Series on Optimization, Vol. 26

This concise, practical book provides readers with an easy access point to make the scenario approach understandable to non-experts, and offers an overview of various decision frameworks in which the method can be used. It contains numerous examples and diverse applications from a broad range of domains.

NEW NONLOCAL MODELING, ANALYSIS, AND COMPUTATIONQiang DuMar 2019 168pp9781611975611 Paperback £59.95 / €66.00CBMS-NSF Regional Conference Series in Applied Math, Vol. 94Studies of complexity, singularity, and anomaly using nonlocal

continuum models are steadily gaining popularity. This monograph provides an introduction to basic analytical, computational, and modeling issues and to some of the latest developments in these areas.

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NUMERICAL ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS USING MAPLE AND MATLABMartin J. Gander & Felix Kwok2018 153pp9781611975307 Paperback £65.50 / €71.00 Fundamentals of Algorithms, Vol. 12Offers an elementary yet comprehensive introduction to the numerical solution of partial differential equations (PDEs). The book provides detailed descriptions of the four major classes of discretization methods for PDEs and runnable MATLAB® code for each of the discretization methods and exercises.

COMING SOON PDE DYNAMICSAn Introduction Christian KuehnMay 2019 267pp9781611975659 Paperback £69.95 / €77.00Mathematical Modeling and Computation, Vol. 23Provides an overview of the myriad methods for applying dynamical systems techniques to PDEs and highlights the impact of PDE methods on dynamical systems. Also included are many nonlinear evolution equations, which have been benchmark models across the sciences, and examples and techniques to strengthen preparation for research.

SCIENTIFIC COMPUTINGAn Introductory Survey, Revised Second EditionMichael T. HeathJan 2019 567pp9781611975574 Paperback £95.50 / €105.00 Classics in Applied Mathematics, Vol. 80This book presents an overview of methods and software for solving mathematical problems arising in computational modeling and data analysis, including proper problem formulation, selection of effective solution algorithms, and interpretation of results.

SOLITONS IN TWO-DIMENSIONAL SHALLOW WATERYuji Kodama2018 252pp9781611975512 Paperback £70.50 / €77.00CBMS-NSF Regional Conference Series in Applied Mathematics, Vol. 92Uses modern mathematical tools - algebraic geometry, algebraic combinatorics, and representation theory, among others - to analyse two-dimensional wave patterns. The author's goal is to explain some details of the classification problem of the soliton solutions of the KP equation (or KP solitons) and their applications to shallow water waves.

STRUCTURE-PRESERVING DOUBLING ALGORITHMS FOR NONLINEAR MATRIX EQUATIONSTsung-Ming Huang, Ren-Cang Li & Wen-Wei Lin2018 144pp9781611975352 Paperback £59.95 / €66.00 Fundamentals of Algorithms, Vol. 14Nonlinear matrix equations arise frequently in applied science and engineering. This is the first book to provide a unified treatment of structure-preserving doubling algorithms, which have been recently studied and proven effective for notoriously challenging problems, such as fluid queue theory and vibration analysis for high-speed trains.

COMPUTING HIGHLY OSCILLATORY INTEGRALSAlfredo Deaño, Daan Huybrechs & Arieh Iserles2018 182pp9781611975116 Paperback £80.50 / €88.00 Highly oscillatory phenomena range across numerous areas in science and engineering and their computation represents a difficult challenge. A case in point is integrals of rapidly oscillating functions in one or more variables. The quadrature of such integrals has been historically considered very demanding. This is the only monograph bringing together the new body of ideas in this area in its entirety.

CREDIT SCORING AND ITS APPLICATIONSSecond EditionLyn Thomas, Jonathan Crook & David Edelman2017 368pp9781611974553 Paperback £103.00 / €113.00 Mathematics in Industry, Vol. 2Contains a comprehensive review of the objectives, methods, and practical implementation of credit and behavioural scoring. The authors review principles of the statistical and operations research methods used in building scorecards, as well as the advantages and disadvantages of each approach. The book also covers practical problems encountered in building, using, and monitoring scorecards.

DIFFERENTIAL DYNAMICAL SYSTEMS Revised Second EditionJames D. Meiss2017 420pp9781611974638 Paperback £88.50 / €97.00 Mathematical Modeling and Computation, Vol. 22Combines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems. Applications of this theory to physics, biology, chemistry, and engineering are shown through examples in such areas as population modeling, fluid dynamics, electronics, and mechanics.

DYNAMIC MODE DECOMPOSITIONData-Driven Modeling of Complex SystemsJ. Nathan Kutz et al2016 250pp9781611974492 Paperback £70.50 / €77.00The first book to address the DMD algorithm presenting a pedagogical and comprehensive approach to all aspects of DMD currently developed or under development. It blends theoretical development, example codes, and applications to showcase the theory and its many innovations and uses.

FINITE DIFFERENCE METHODS FOR ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONSSteady-State and Time-Dependent ProblemsRandall J. LeVeque2007 354pp9780898716290 Paperback £73.50 / €80.00 Introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations.

FIRST-ORDER METHODS IN OPTIMIZATIONAmir Beck2017 484pp9781611974980 Paperback £98.50 / €108.00 MOS-SIAM Series on Optimization, Vol. 25Provides a self-contained, comprehensive study of the

main first-order methods that are frequently used in solving large-scale problems. The author has gathered, reorganized, and synthesized (in a unified manner) many results that are currently scattered throughout the literature, many of which cannot be typically found in optimization books.

MATLAB GUIDEThird EditionDesmond J. Higham & Nicholas J. Higham2016 502pp9781611974652 Hardback £55.95 / €63.00 This third edition of MATLAB Guide completely revises and updates the best-selling second edition and is more than 25 per cent longer.

The book remains a lively, concise introduction to the most popular and important features of MATLAB and the Symbolic Math Toolbox.

NUMERICAL LINEAR ALGEBRA Lloyd N. Trefethen & David Bau III1997 373pp9780898713619 Paperback £70.95 / €77.00 A concise, insightful, and elegant introduction to the field of numerical linear algebra. Designed for use as a stand-alone textbook

by students from all fields of mathematics, engineering, and the physical sciences. The authors' eloquent presentation of the most fundamental ideas in numerical linear algebra, make it popular with teachers and students alike.

NUMERICAL METHODS FOR CONSERVATION LAWSFrom Analysis to AlgorithmJan S. Hesthaven2018 576pp9781611975093 Paperback £90.50 / €99.00Computational Science and Engineering, Vol. 18

Offers the first comprehensive introduction to modern computational methods and their analysis for hyperbolic conservation laws, building on intense research activities for more than four decades of development; discusses classic results on monotone and finite difference/finite volume schemes; and addresses modern concepts of TVD and entropy stability.

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