Book Volume 45 2003

Partial Differential Equations with Numerical Methods

Authors:

ISBN: 978-3-540-88705-8 (Print) 978-3-540-88706-5 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages I-XI

  2. No Access

    Chapter

    Pages 1-14

    Introduction

  3. No Access

    Chapter

    Pages 15-24

    A Two-Point Boundary Value Problem

  4. No Access

    Chapter

    Pages 25-41

    Elliptic Equations

  5. No Access

    Chapter

    Pages 43-49

    Finite Difference Methods for Elliptic Equations

  6. No Access

    Chapter

    Pages 51-76

    Finite Element Methods for Elliptic Equations

  7. No Access

    Chapter

    Pages 77-94

    The Elliptic Eigenvalue Problem

  8. No Access

    Chapter

    Pages 95-108

    Initial-Value Problems for Ordinary Differential Equations

  9. No Access

    Chapter

    Pages 109-127

    Parabolic Equations

  10. No Access

    Chapter

    Pages 129-148

    Finite Difference Methods for Parabolic Problems

  11. No Access

    Chapter

    Pages 149-161

    The Finite Element Method for a Parabolic Problem

  12. No Access

    Chapter

    Pages 163-183

    Hyperbolic Equations

  13. No Access

    Chapter

    Pages 185-199

    Finite Difference Methods for Hyperbolic Equations

  14. No Access

    Chapter

    Pages 201-216

    The Finite Element Method for Hyperbolic Equations

  15. No Access

    Chapter

    Pages 217-224

    Some Other Classes of Numerical Methods

  16. Back Matter

    Pages 225-261