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Multigrid: Basics, Parallelism and Adaptivity
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. It covers the whole field of multigrid methods from its elements up to the most advanced applications. Its style is essentially elementary but mathematically rigorous. No other book is so comprehensive and written for both practitioners and students.
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
Brief Description:
Presents an elementary introduction to multigrid methods for solving partial differential equations, and a survey of advanced multigrid techniques and real-life applications. This book is suitable for researchers in scientific disciplines including physics, chemistry, meteorology, fluid and continuum mechanics, geology, biology, and many others.
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