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Numerical Partial Differential Equations: Finite Difference Methods

  • Textbook
  • © 1995

Overview

Authors:
  1. J. W. Thomas

    1. Department of Mathematics, Colorado State University, Fort Collins, USA

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

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xx
    Download chapter PDF

  2. Prelude

    • J. W. Thomas
    Pages 1-4

  3. Introduction to Finite Differences

    • J. W. Thomas
    Pages 5-39

  4. Some Theoretical Considerations

    • J. W. Thomas
    Pages 41-95

  5. Stability

    • J. W. Thomas
    Pages 97-145

  6. Parabolic Equations

    • J. W. Thomas
    Pages 147-203

  7. Hyperbolic Equations

    • J. W. Thomas
    Pages 205-259

  8. Systems of Partial Differential Equations

    • J. W. Thomas
    Pages 261-360

  9. Dispersion and Dissipation

    • J. W. Thomas
    Pages 361-426

  10. Back Matter

    Pages 427-437
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Keywords

About this book

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.

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

Authors and Affiliations

  • Department of Mathematics, Colorado State University, Fort Collins, USA

    J. W. Thomas

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

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1995

  • Hardcover ISBN: 978-0-387-97999-1Published: 11 September 1995

  • Softcover ISBN: 978-1-4419-3105-4Published: 01 December 2010

  • eBook ISBN: 978-1-4899-7278-1Published: 01 December 2013

  • Series ISSN: 0939-2475

  • Series E-ISSN: 2196-9949

  • Edition Number: 1

  • Number of Pages: XX, 437

  • Topics: Numerical Analysis, Analysis, Mathematical and Computational Engineering

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