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The K-grid Fourier Analysis of Multigrid-type Iterative Methods
Author: University of Wisconsin--Madison. Computer Sciences Dept
Publisher:
Published: 1987
Total Pages: 59
ISBN-13:
DOWNLOAD EBOOK →Experiments indicate that a multigrid-type cycle can be used as an efficient preconditioner in the iterative solution of the discrete problem corresponding to a singularly perturbed elliptic boundary value problem. Motivated by a report of Goldstein, we explore the theoretical basis for the efficiency of such a preconditioner when applied to a model problem. The techniques developed are also used to analyze a multigrid V-cycle when used alone as a fast iterative solver. (Author).
Practical Fourier Analysis for Multigrid Methods
Author: Roman Wienands
Publisher: CRC Press
Published: 2004-10-28
Total Pages: 235
ISBN-13: 1420034995
DOWNLOAD EBOOK →Before applying multigrid methods to a project, mathematicians, scientists, and engineers need to answer questions related to the quality of convergence, whether a development will pay out, whether multigrid will work for a particular application, and what the numerical properties are. Practical Fourier Analysis for Multigrid Methods uses a detaile
An Introduction to Multigrid Methods
Author: Pieter Wesseling
Publisher: R.T. Edwards, Inc.
Published: 2004
Total Pages: 300
ISBN-13:
DOWNLOAD EBOOK →Introduces the principles, techniques, applications and literature of multigrid methods. Aimed at an audience with non-mathematical but computing-intensive disciplines and basic knowledge of analysis, partial differential equations and numerical mathematics, it is packed with helpful exercises, examples and illustrations.
Multi-Grid Methods and Applications
Author: Wolfgang Hackbusch
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 391
ISBN-13: 3662024276
DOWNLOAD EBOOK →Multi-grid methods are the most efficient tools for solving elliptic boundary value problems. The reader finds here an elementary introduction to multi-grid algorithms as well as a comprehensive convergence analysis. One section describes special applications (convection-diffusion equations, singular perturbation problems, eigenvalue problems, etc.). The book also contains a complete presentation of the multi-grid method of the second kind, which has important applications to integral equations (e.g. the "panel method") and to numerous other problems. Readers with a practical interest in multi-grid methods will benefit from this book as well as readers with a more theoretical interest.
A Multigrid Tutorial
Author: William L. Briggs
Publisher: SIAM
Published: 2000-07-01
Total Pages: 318
ISBN-13: 9780898714623
DOWNLOAD EBOOK →Mathematics of Computing -- Numerical Analysis.
Iterative Methods for Sparse Linear Systems
Author: Yousef Saad
Publisher: SIAM
Published: 2003-04-01
Total Pages: 537
ISBN-13: 0898715342
DOWNLOAD EBOOK →Mathematics of Computing -- General.
Multigrid Methods
Author: James H Bramble
Publisher: Routledge
Published: 2019-01-22
Total Pages: 114
ISBN-13: 135142985X
DOWNLOAD EBOOK →Multigrid methods are among the most efficient iterative methods for the solution of linear systems which arise in many large scale scientific calculations. Every researcher working with the numerical solution of partial differential equations should at least be familiar with this powerful technique. This invaluable book presents results concerning the rates of convergence of multigrid iterations.
Multigrid
Author: Ulrich Trottenberg
Publisher: Elsevier
Published: 2000-11-20
Total Pages: 648
ISBN-13: 0080479561
DOWNLOAD EBOOK →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. * 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
Proceedings of the Fourth Copper Mountain Conference on Multigrid Methods
Author: Jan Mandel
Publisher: SIAM
Published: 1989-01-01
Total Pages: 462
ISBN-13: 9780898712483
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