Multigrid

Multigrid

1st Edition - November 20, 2000

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  • Authors: Ulrich Trottenberg, Cornelius Oosterlee, Anton Schuller
  • Hardcover ISBN: 9780127010700
  • eBook ISBN: 9780080479569

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Description

Multigrid presents both an elementary introduction to multigrid methods for solving partial differential equations and a contemporary survey of advanced multigrid techniques and real-life applications.Multigrid methods are invaluable to researchers in scientific disciplines including physics, chemistry, meteorology, fluid and continuum mechanics, geology, biology, and all engineering disciplines. They are also becoming increasingly important in economics and financial mathematics.Readers are presented with an invaluable summary covering 25 years of practical experience acquired by the multigrid research group at the Germany National Research Center for Information Technology. The book presents both practical and theoretical points of view.

Key Features

* Covers the whole field of multigrid methods from its elements up to the most advanced applications
* Style is essentially elementary but mathematically rigorous
* No other book is so comprehensive and written for both practitioners and students

Readership

Students and researchers in mathematics, engineering, physics, chemistry, meteorology, scientific computing, and computer science.

Table of Contents

  • Preface
    Introduction
    Basic Multigrid I
    Elementary Multigrid Theory
    Local Fourier Analysis
    Basic Multigrid II
    Parallel Multigrid in Practice
    More Advanced Multigrid
    Multigrid for Systems of Equations
    Adaptive Multigrid
    Some More Multigrid Applications
    Appendixes
    An Introduction to Algebraic Multigrid (by Klaus Stuben)
    Subspace Correction Methods and Multigrid Theory (by Peter Oswald)
    Recent Developments in Multigrid Efficiency in Computational Fluid Dynamics (by Achi Brandt)
    References
    Index

Product details

  • No. of pages: 631
  • Language: English
  • Copyright: © Academic Press 2000
  • Published: November 20, 2000
  • Imprint: Academic Press
  • Hardcover ISBN: 9780127010700
  • eBook ISBN: 9780080479569

About the Authors

Ulrich Trottenberg

Affiliations and Expertise

Institute for Algorithms and Scientific Computing, St. Augustin, Germany

Cornelius Oosterlee

Affiliations and Expertise

Institute for Algorithms and Scientific Computing, St. Augustin, Germany

Anton Schuller

Affiliations and Expertise

Institute for Algorithms and Scientific Computing, St. Augustin, Germany

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