Advertisement

© 1995

Numerical Partial Differential Equations: Finite Difference Methods

Textbook

Part of the Texts in Applied Mathematics book series (TAM, volume 22)

Table of contents

  1. Front Matter
    Pages i-xx
  2. J. W. Thomas
    Pages 1-4
  3. J. W. Thomas
    Pages 5-39
  4. J. W. Thomas
    Pages 41-95
  5. J. W. Thomas
    Pages 97-145
  6. J. W. Thomas
    Pages 147-203
  7. J. W. Thomas
    Pages 205-259
  8. J. W. Thomas
    Pages 261-360
  9. J. W. Thomas
    Pages 361-426
  10. Back Matter
    Pages 427-437

About this book

Introduction

This text will be divided into two books which cover the topic of numerical partial differential equations. Of the many different approaches to solving partial differential equations numerically, this book studies difference methods. Written for the beginning graduate student, this text offers a means of coming out of a course with a large number of methods which provide both theoretical knowledge and numerical experience. The reader will learn that numerical experimentation is a part of the subject of numerical solution of partial differential equations, and will be shown some uses and taught some techniques of numerical experimentation.

Keywords

YellowSale2006 adopted-textbook differential equation hyperbolic equation partial differential equation stability

Authors and affiliations

  1. 1.Department of MathematicsColorado State UniversityFort CollinsUSA

Bibliographic information

  • Book Title Numerical Partial Differential Equations: Finite Difference Methods
  • Authors J.W. Thomas
  • Series Title Texts in Applied Mathematics
  • DOI https://doi.org/10.1007/978-1-4899-7278-1
  • Copyright Information Springer-Verlag New York 1995
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-97999-1
  • Softcover ISBN 978-1-4419-3105-4
  • eBook ISBN 978-1-4899-7278-1
  • Series ISSN 0939-2475
  • Series E-ISSN 2196-9949
  • Edition Number 1
  • Number of Pages XX, 437
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Numerical Analysis
    Analysis
    Mathematical and Computational Engineering
  • Buy this book on publisher's site
Industry Sectors
Energy, Utilities & Environment
Engineering

Reviews

"This important volume is the first part of a two-part textbook (the second part is entitled Conservation laws and elliptic equations). The text includes interesting homework problems that implement different aspects of most of the schemes discussed. The implementation aspect of this text includes a large amount of computing. Other useful aspects of computing included in this volume are symbolic computing and the use of graphics for analysis. Prerequisites suggested for using this book might include one semester of partial differential equations and some programming capability. This book will be a good reference text for students." -- MATHEMATICAL REVIEWS