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Multigrid - 1st Edition - ISBN: 9780127010700, 9780080479569


1st Edition

Authors: Ulrich Trottenberg Cornelius Oosterlee Anton Schuller
Hardcover ISBN: 9780127010700
eBook ISBN: 9780080479569
Imprint: Academic Press
Published Date: 20th November 2000
Page Count: 631
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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


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

Table of Contents

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
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)


No. of pages:
© Academic Press 2000
20th November 2000
Academic Press
Hardcover ISBN:
eBook ISBN:

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


"...Multigrid is a useful book in many respects. It gives a clear introduction to the student, it is a handbook for the practitioner, and for the expert it is a good reference and a nice compilation of knowledge..." - Pieter W. Hemker in SIAM Review, Vol. 44, No. 1, 2002

"Multigrid is easily the best practical textbook in existence on multigrid represents a comprehensive guide with numerous valuable suggestions, warnings and hints which could previously have been learned only with direct contact with experts..." - Irad Yavneh in ZAMM- Journal of Applied Mathematics and Mechanics 83, No.11, 2003

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