Partial Differential Equations and Boundary Value Problems with Mathematica

Prem K. Kythe, Pratap Puri, Michael R. Schäferkotter

418 pages, parution le 19/12/2002 (2^eme édition)

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Résumé

Revised and updated to reflect the latest version of Mathematica, Partial Differential Equations and Boundary Value Problems with Mathematica, Second Edition meets the needs of mathematics, science, and engineering students even better. While retaining systematic coverage of theory and applications, the authors have made extensive changes that improve the text's accessibility, thoroughness, and practicality.

New in this edition:

Upgraded and expanded Mathematica sections that include more exercises
An entire chapter on boundary value problems
More on inverse operators, Legendre functions, and Bessel functions
Simplified treatment of Green's functions that make it more accessible to undergraduates
A section on the numerical computation of Green's functions
Mathematica codes for solving most of the problems discussed
Boundary value problems from continuum mechanics, particularly on boundary layers and fluctuating flows
Wave propagation and dispersion

With its emphasis firmly on solution methods, this book is ideal for any mathematics curricula. It succeeds not only in preparing readers to meet the challenge of PDEs, but also in imparting the inherent beauty and applicability of the subject.

Contents

Introduction to Mathematica
Introduction
Method of Characteristics
Linear Equations with Constant Coefficients
Orthogonal Expansions
Separation of Variables
Integral Transforms
Green's Functions
Initial Boundary Value Problems
Weighted Residual Methods
Perturbation Methods
Finite Difference Methods

Appendix A: Green's Identities
Appendix B: Orthogonal Polynomials
Appendix C: Tables of Transform Pairs
Appendix D: Glossary of Mathematica Functions
Appendix E: Mathematica Packages and Notebooks

Caractéristiques techniques

	PAPIER
Éditeur(s)	CRC Press (Taylor and Francis Group)
Auteur(s)	Prem K. Kythe, Pratap Puri, Michael R. Schäferkotter
Parution	19/12/2002
Édition	2^eme édition
Nb. de pages	418
Format	16,2 x 24,2
Couverture	Relié
Poids	760g
Intérieur	Noir et Blanc
EAN13	9781584883142
ISBN13	978-1-58488-314-2