Multi-Grid Methods and Applications

  • Wolfgang Hackbusch
Part of the Springer Series in Computational Mathematics book series (SSCM, volume 4)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Wolfgang Hackbusch
    Pages 1-16
  3. Wolfgang Hackbusch
    Pages 17-40
  4. Wolfgang Hackbusch
    Pages 41-79
  5. Wolfgang Hackbusch
    Pages 80-97
  6. Wolfgang Hackbusch
    Pages 98-111
  7. Wolfgang Hackbusch
    Pages 112-159
  8. Wolfgang Hackbusch
    Pages 160-168
  9. Wolfgang Hackbusch
    Pages 169-180
  10. Wolfgang Hackbusch
    Pages 181-200
  11. Wolfgang Hackbusch
    Pages 201-230
  12. Wolfgang Hackbusch
    Pages 231-251
  13. Wolfgang Hackbusch
    Pages 252-269
  14. Wolfgang Hackbusch
    Pages 270-276
  15. Wolfgang Hackbusch
    Pages 277-292
  16. Wolfgang Hackbusch
    Pages 293-304
  17. Wolfgang Hackbusch
    Pages 305-353
  18. Back Matter
    Pages 354-377

About this book

Introduction

Multi-grid methods are the most efficient tools for solving elliptic boundary value problems. The reader finds here an elementary introduction to multi-grid algorithms as well as a comprehensive convergence analysis. One section describes special applications (convection-diffusion equations, singular perturbation problems, eigenvalue problems, etc.). The book also contains a complete presentation of the multi-grid method of the second kind, which has important applications to integral equations (e.g. the "panel method") and to numerous other problems.

Readers with a practical interest in multi-grid methods will benefit from this book as well as readers with a more theoretical interest.

Keywords

Boundary value problem Fourier analysis algorithms calculus

Authors and affiliations

  • Wolfgang Hackbusch
    • 1
  1. 1.MPI für Mathematik in den NaturwissenschaftenLeipzigGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-02427-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 1985
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-05722-9
  • Online ISBN 978-3-662-02427-0
  • Series Print ISSN 0179-3632
  • About this book