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Numerical Partial Differential Equations

Conservation Laws and Elliptic Equations

  • Textbook
  • © 1999

Overview

Authors:
  1. J. W. Thomas

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

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  • Aim of book is to provide users with a theoretical yet practical knowledge * Applications especially relevant for those in applied mathematics/engineering * Provides a large number of methods, giving the reader a solid numerical experience *
  • Numerical experimentation effectively extends many of the methods *
  • The author stresses the use of technology throughout, assisting the reader in utilizing it as much as possible

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

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-xxii
    Download chapter PDF

  2. Stability of Initial-Boundary-Value Schemes

    • J. W. Thomas
    Pages 1-71

  3. Conservation Laws

    • J. W. Thomas
    Pages 73-293

  4. Elliptic Equations

    • J. W. Thomas
    Pages 295-491

  5. Irregular Regions and Grids

    • J. W. Thomas
    Pages 493-533

  6. Back Matter

    Pages 535-556
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Keywords

About this book

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.

Authors and Affiliations

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

    J. W. Thomas

Bibliographic Information

  • Book Title: Numerical Partial Differential Equations

  • Book Subtitle: Conservation Laws and Elliptic Equations

  • Authors: J. W. Thomas

  • Series Title: Texts in Applied Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-0569-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1999

  • Hardcover ISBN: 978-0-387-98346-2Published: 11 May 1999

  • Softcover ISBN: 978-1-4612-6821-5Published: 22 November 2013

  • eBook ISBN: 978-1-4612-0569-2Published: 27 November 2013

  • Series ISSN: 0939-2475

  • Series E-ISSN: 2196-9949

  • Edition Number: 1

  • Number of Pages: XXII, 556

  • Number of Illustrations: 11 b/w illustrations

  • Topics: Analysis, Numerical Analysis

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