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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Basic Multigrid I
Elementary Multigrid Theory
Local Fourier Analysis
Basic Multigrid II
Parallel Multigrid in Practice
More Advanced Multigrid
Multigrid for Systems of Equations
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)
Cornelius W. Oosterlee Institute for Algorithms and Scientific Computing, St. Augustin, Germany.
Anton Schuller Institute for Algorithms and Scientific Computing, St. Augustin, Germany.