Description

Book Synopsis
This book is a comprehensive guide to modeling, characterizing, and solving partial differential equations, presenting some numerical methods for the solution of PDEs. The introduction of computer codes (Maple) to implement the solution of PDEs via direct numerical methods enhances this new edition.

Table of Contents
Preface.

1. Random Walks and Partial Differential Equations.

2. First Order Partial Differential Equations.

3. Classification of Equations and Characteristics.

4. Initial and Boundary Value Problems in Bounded Regions.

5. Integral Transforms.

6. Integral Relations.

7. Green's Functions.

8. variational and Other Methods.

9. Regular Perturbation Methods.

10. Asymptotic Methods.

11. Finite Difference Methods.

12. Finite Element Methods in Two Dimensions.

Bibliography.

Index.

Partial Differential Equations of Applied Mathematics Pure and Applied Mathematics A Wiley Series of Texts Monographs and Tracts

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    A Hardback by Erich Zauderer

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      View other formats and editions of Partial Differential Equations of Applied Mathematics Pure and Applied Mathematics A Wiley Series of Texts Monographs and Tracts by Erich Zauderer

      Publisher: Wiley
      Publication Date: 22/08/2006
      ISBN13: 9780471690733, 978-0471690733
      ISBN10:

      Description

      Book Synopsis
      This book is a comprehensive guide to modeling, characterizing, and solving partial differential equations, presenting some numerical methods for the solution of PDEs. The introduction of computer codes (Maple) to implement the solution of PDEs via direct numerical methods enhances this new edition.

      Table of Contents
      Preface.

      1. Random Walks and Partial Differential Equations.

      2. First Order Partial Differential Equations.

      3. Classification of Equations and Characteristics.

      4. Initial and Boundary Value Problems in Bounded Regions.

      5. Integral Transforms.

      6. Integral Relations.

      7. Green's Functions.

      8. variational and Other Methods.

      9. Regular Perturbation Methods.

      10. Asymptotic Methods.

      11. Finite Difference Methods.

      12. Finite Element Methods in Two Dimensions.

      Bibliography.

      Index.

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