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Iterative Solution of Large Sparse Systems of Equations

  • Book
  • © 1994

Overview

Authors:
  1. Wolfgang Hackbusch

    1. Institut für Informatik und Praktische Mathematik, Christian-Albrechts-Universität zu Kiel, Kiel, Germany

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Part of the book series: Applied Mathematical Sciences (AMS, volume 95)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xxi
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  2. Introduction

    • Wolfgang Hackbusch
    Pages 1-11

  3. Recapitulation of Linear Algebra

    • Wolfgang Hackbusch
    Pages 12-42

  4. Iterative Methods

    • Wolfgang Hackbusch
    Pages 43-64

  5. Methods of Jacobi and Gauß-Seidel and SOR Iteration in the Positive Definite Case

    • Wolfgang Hackbusch
    Pages 65-121

  6. Analysis in the 2-Cyclic Case

    • Wolfgang Hackbusch
    Pages 122-143

  7. Analysis for M-Matrices

    • Wolfgang Hackbusch
    Pages 144-164

  8. Semi-Iterative Methods

    • Wolfgang Hackbusch
    Pages 165-204

  9. Transformations, Secondary Iterations, Incomplete Triangular Decompositions

    • Wolfgang Hackbusch
    Pages 205-247

  10. Conjugate Gradient Methods

    • Wolfgang Hackbusch
    Pages 248-295

  11. Multi-Grid Methods

    • Wolfgang Hackbusch
    Pages 296-366

  12. Domain Decomposition Methods

    • Wolfgang Hackbusch
    Pages 367-404

  13. Back Matter

    Pages 405-431
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Keywords

Authors and Affiliations

  • Institut für Informatik und Praktische Mathematik, Christian-Albrechts-Universität zu Kiel, Kiel, Germany

    Wolfgang Hackbusch

Bibliographic Information

  • Book Title: Iterative Solution of Large Sparse Systems of Equations

  • Authors: Wolfgang Hackbusch

  • Series Title: Applied Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-1-4612-4288-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1994

  • Softcover ISBN: 978-1-4612-8724-7Published: 27 September 2011

  • eBook ISBN: 978-1-4612-4288-8Published: 06 December 2012

  • Series ISSN: 0066-5452

  • Series E-ISSN: 2196-968X

  • Edition Number: 1

  • Number of Pages: XXII, 432

  • Topics: Numerical Analysis

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