Partial Differential Equations of Applied Mathematics (eBook)

Erich Zauderer (Autor)

eBook Download: PDF

2011 | 3. Auflage
968 Seiten
John Wiley & Sons (Verlag)
978-1-118-03140-7 (ISBN)

Infos

This new edition features the latest tools for modeling,
characterizing, and solving partial differential equations

The Third Edition of this classic text offers a comprehensive guide
to modeling, characterizing, and solving partial differential
equations (PDEs). The author provides all the theory and tools
necessary to solve problems via exact, approximate, and numerical
methods. The Third Edition retains all the hallmarks of its
previous editions, including an emphasis on practical applications,
clear writing style and logical organization, and extensive use of
real-world examples.

Among the new and revised material, the book features:

* A new section at the end of each original chapter, exhibiting the
use of specially constructed Maple procedures that solve PDEs via
many of the methods presented in the chapters. The results can be
evaluated numerically or displayed graphically.

* Two new chapters that present finite difference and finite
element methods for the solution of PDEs. Newly constructed Maple
procedures are provided and used to carry out each of these
methods. All the numerical results can be displayed
graphically.

* A related FTP site that includes all the Maple code used in the
text.

* New exercises in each chapter, and answers to many of the
exercises are provided via the FTP site. A supplementary
Instructor's Solutions Manual is available.

The book begins with a demonstration of how the three basic types
of equations-parabolic, hyperbolic, and elliptic-can be derived
from random walk models. It then covers an exceptionally broad
range of topics, including questions of stability, analysis of
singularities, transform methods, Green's functions, and
perturbation and asymptotic treatments. Approximation methods for
simplifying complicated problems and solutions are described, and
linear and nonlinear problems not easily solved by standard methods
are examined in depth. Examples from the fields of engineering and
physical sciences are used liberally throughout the text to help
illustrate how theory and techniques are applied to actual
problems.

With its extensive use of examples and exercises, this text is
recommended for advanced undergraduates and graduate students in
engineering, science, and applied mathematics, as well as
professionals in any of these fields. It is possible to use the
text, as in the past, without use of the new Maple material.

An Instructor's Manual presenting detailed solutions to all the
problems in the book is available upon request from the Wiley
editorial department.

Autor

ERICH ZAUDERER, PhD, is Professor of Mathematics in the Department of Mathematics at Polytechnic University. Prior to joining the faculty of Polytechnic University, he was a Senior Weizmann Fellow at the Weizmann Institute of Science. His research interests include applied mathematics and nonlinear wave propagation, as well as perturbation and asymptotic solutions of partial differential equations.

Inhalt

Preface.

1. Random Walks and Partial Differential Equations.

2. First Order Partial Differential Equations.

3. Classification of Equations and Characteristics.

4. Initial and Boundary Value Problems in Bounded Regions.

5. Integral Transforms.

6. Integral Relations.

7. Green's Functions.

8. variational and Other Methods.

9. Regular Perturbation Methods.

10. Asymptotic Methods.

11. Finite Difference Methods.

12. Finite Element Methods in Two Dimensions.

Bibliography.

Index.

Produkt-Details

• Erscheint lt. Verlag: 24.10.2011
• Reihe/Serie: Wiley Series in Pure and Applied Mathematics
• Reihe/Serie: Wiley Series in Pure and Applied Mathematics
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Technik
• Schlagworte: Angewandte Mathematik • Applied mathematics • Applied Mathematics in Engineering • Applied Mathmatics in Engineering • Differential Equations • Differentialgleichungen • Mathematics • Mathematik • Mathematik in den Ingenieurwissenschaften • Partielle Differentialgleichung
• ISBN-10: 1-118-03140-7 / 1118031407
• ISBN-13: 978-1-118-03140-7 / 9781118031407