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  • © 1985

Multi-Grid Methods and Applications

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

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Table of contents (16 chapters)

  1. Front Matter

    Pages I-XIV
  2. Preliminaries

    • Wolfgang Hackbusch
    Pages 1-16
  3. Introductory Model Problem

    • Wolfgang Hackbusch
    Pages 17-40
  4. General Two-Grid Method

    • Wolfgang Hackbusch
    Pages 41-79
  5. General Multi-Grid Iteration

    • Wolfgang Hackbusch
    Pages 80-97
  6. Nested Iteration Technique

    • Wolfgang Hackbusch
    Pages 98-111
  7. Convergence of the Two-Grid Iteration

    • Wolfgang Hackbusch
    Pages 112-159
  8. Convergence of the Multi-Grid Iteration

    • Wolfgang Hackbusch
    Pages 160-168
  9. Fourier Analysis

    • Wolfgang Hackbusch
    Pages 169-180
  10. Nonlinear Multi-Grid Methods

    • Wolfgang Hackbusch
    Pages 181-200
  11. Singular Perturbation Problems

    • Wolfgang Hackbusch
    Pages 201-230
  12. Elliptic Systems

    • Wolfgang Hackbusch
    Pages 231-251
  13. Eigenvalue Problems and Singular Equations

    • Wolfgang Hackbusch
    Pages 252-269
  14. Continuation Techniques

    • Wolfgang Hackbusch
    Pages 270-276
  15. Extrapolation and Defect Correction Techniques

    • Wolfgang Hackbusch
    Pages 277-292
  16. Local Techniques

    • Wolfgang Hackbusch
    Pages 293-304
  17. The Multi-Grid Method of the Second Kind

    • Wolfgang Hackbusch
    Pages 305-353
  18. Back Matter

    Pages 354-377

About this book

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.

Authors and Affiliations

  • MPI für Mathematik in den Naturwissenschaften, Leipzig, Germany

    Wolfgang Hackbusch

Bibliographic Information

  • Book Title: Multi-Grid Methods and Applications

  • Authors: Wolfgang Hackbusch

  • Series Title: Springer Series in Computational Mathematics

  • DOI: https://doi.org/10.1007/978-3-662-02427-0

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1985

  • Hardcover ISBN: 978-3-540-12761-1Published: 01 October 1985

  • Softcover ISBN: 978-3-642-05722-9Published: 01 December 2010

  • eBook ISBN: 978-3-662-02427-0Published: 09 March 2013

  • Series ISSN: 0179-3632

  • Series E-ISSN: 2198-3712

  • Edition Number: 1

  • Number of Pages: XIV, 378

  • Topics: Numerical Analysis

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access