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Numerical Partial Differential Equations

Conservation Laws and Elliptic Equations

  • J. W. Thomas

Part of the Texts in Applied Mathematics book series (TAM, volume 33)

Table of contents

  1. Front Matter
    Pages i-xxii
  2. J. W. Thomas
    Pages 73-293
  3. J. W. Thomas
    Pages 295-491
  4. J. W. Thomas
    Pages 493-533
  5. Back Matter
    Pages 535-556

About this book

Introduction

Of the many different approaches to solving partial differential equations numerically, this book studies difference methods. Written for the beginning graduate student in applied mathematics and engineering, this text offers a means of coming out of a course with a large number of methods that 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.
Prerequisites suggested for using this book in a course might include at least one semester of partial differential equations and some programming capability. The author stresses the use of technology throughout the text, allowing the student to utilize it as much as possible. The use of graphics for both illustration and analysis is emphasized, and algebraic manipulators are used when convenient. This is the second volume of a two-part book.

Keywords

applied mathematics differential equation numerical method partial differential equation stability

Authors and affiliations

  • J. W. Thomas
    • 1
  1. 1.Department of MathematicsColorado State UniversityFort CollinsUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-0569-2
  • Copyright Information Springer-Verlag New York 1999
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6821-5
  • Online ISBN 978-1-4612-0569-2
  • Series Print ISSN 0939-2475
  • Series Online ISSN 2196-9949
  • Buy this book on publisher's site