Implementing Spectral Methods for Partial Differential Equations

Algorithms for Scientists and Engineers

Authors:

ISBN: 978-90-481-2260-8 (Print) 978-90-481-2261-5 (Online)

Table of contents (9 chapters)

  1. Front Matter

    Pages i-xviii

  2. Approximating Functions, Derivatives and Integrals

    1. Front Matter

      Pages 1-1

    2. No Access

      Chapter

      Pages 3-38

      Spectral Approximation

    3. No Access

      Chapter

      Pages 39-57

      Algorithms for Periodic Functions

    4. No Access

      Chapter

      Pages 59-87

      Algorithms for Non-Periodic Functions

  3. Approximating Solutions of PDEs

    1. Front Matter

      Pages 89-89

    2. No Access

      Chapter

      Pages 91-147

      Survey of Spectral Approximations

    3. No Access

      Chapter

      Pages 149-221

      Spectral Approximation on the Square

    4. No Access

      Chapter

      Pages 223-246

      Transformation Methods from Square to Non-Square Geometries

    5. No Access

      Chapter

      Pages 247-292

      Spectral Methods in Non-Square Geometries

    6. No Access

      Chapter

      Pages 293-354

      Spectral Element Methods

  4. Erratum

    1. No Access

      Chapter

      Pages 395-396

      Erratum

  5. Back Matter

    Pages 355-394