• Ulrich Trottenberg, Institute for Algorithms and Scientific Computing, St. Augustin, Germany
  • Cornelius Oosterlee, Institute for Algorithms and Scientific Computing, St. Augustin, Germany
  • Anton Schuller, Institute for Algorithms and Scientific Computing, St. Augustin, Germany

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


Book information

  • Published: November 2000
  • ISBN: 978-0-12-701070-0


"...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

Table of Contents

PrefaceIntroductionBasic Multigrid IElementary Multigrid TheoryLocal Fourier AnalysisBasic Multigrid IIParallel Multigrid in PracticeMore Advanced MultigridMultigrid for Systems of EquationsAdaptive MultigridSome More Multigrid ApplicationsAppendixesAn 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)ReferencesIndex