A Multigrid Tutorial,9780898714623

A Multigrid Tutorial

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Edition: 2nd
ISBN13: 9780898714623
ISBN10: 0898714621
Format: Paperback
Pub. Date: 2000-06-01
Publisher(s): Society for Industrial & Applied
List Price: $72.00

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Summary

This second edition of the popular A Multigrid Tutorial preserves the introductory spirit of the first edition while roughly doubling the amount of material covered. The topics of the first edition have been enhanced with additional discussion, new numerical experiments, and improved figures. New topics in the second edition include nonlinear equations, Neumann boundary conditions, variable mesh and variable coefficient problems, anisotropic problems, algebraic multigrid (AMG), adaptive methods, and finite elements. This introductory book is ideally suited as a companion textbook for graduate numerical analysis courses. It is written for computational mathematicians, engineers, and other scientists interested in learning about multigrid.

Author Biography

William L. Briggs is Professor of Mathematics at the University of Colorado at Denver. Van Emden Henson is Numerical Methods Group Leader of the Center for Applied Scientific Computing at Lawrence Livermore National Laboratory Steve F. McCormick is Professor of Applied Mathematics at the University of Colorado at Boulder

Table of Contents

Preface to the Second Edition ix
Preface to the First Edition xi
Model Problems
1(6)
Exercises
4(3)
Basic Iterative Methods
7(24)
Exercises
27(4)
Elements of Multigrid
31(14)
Exercises
43(2)
Implementation
45(28)
Exercises
68(5)
Some Theory
73(22)
Exercises
91(4)
Nonlinear Problems
95(18)
Exercises
109(4)
Selected Applications
113(24)
Exercises
133(4)
Algebraic Multigrid (AMG)
137(26)
Exercises
159(4)
Multilevel Adaptive Methods
163(14)
Exercises
174(3)
Finite Elements
177(12)
Exercises
186(3)
Bibliography 189(2)
Index 191

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