A Multigrid Tutorial: Second Edition

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SIAM, 01.07.2000 - 205 Seiten
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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.
 

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Inhalt

Chapter
1
Chapter
7
Chapter IV
25
Chapter V
39
Chapter VI
57
Chapter VII
71
Bibliography
Contents
Implementation 45
45
Some Theory 73
73
Nonlinear Problems
95
Selected Applications
113
Algebraic Multigrid AMG
137
Multilevel Adaptive Methods
163
Finite Elements
177
Bibliography
189

Basic Iterative Methods 7
7
Elements of Multigrid 31
31
Urheberrecht

Andere Ausgaben - Alle anzeigen

A Multigrid Tutorial: Second Edition
William L. Briggs,Van Emden Henson,Steve F. McCormick
Eingeschränkte Leseprobe - 2000
A Multigrid Tutorial: Second Edition
William L. Briggs,Van Emden Henson,Steve F. McCormick
Eingeschränkte Leseprobe - 2000
A Multigrid Tutorial
William L. Briggs
Auszug - 1987
Alle anzeigen »

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additions algebraic algorithm algorithm for computing analysis applied approximation assume boundary called Chapter coarse coarse-grid coarsening coefficients complexity components computing computing the coefficients condition consider constant construction convergence correction corresponding cost cycle defined denote depends derive described determined developed direction discretization effective eigenvalues elements equation equivalent error exact example Exercise factor field Figure filter fine-grid function Gauss-Seidel given gives grid grid points important indices initial guess interpolation iteration linear m/d steps m₁ matrix means method minimal model problem modes multigrid multiplications nonlinear norm Note obtain one-dimensional operator oscillatory performance points polynomial problem ratio reduce relaxation represented requires satisfy scheme shown shows simple smooth solution solve space sweeps symmetric Table Theorem V-cycle vector weighted Jacobi write

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Autoren-Profil (2000)

William L. Briggs is Professor of Mathematics at the University of Colorado at Denver. He is the coauthor of The DFT: An Owner's Manual for the Discrete Fourier Transform (SIAM, 1995) along with Van Emden Henson.

Van Emden Henson is Numerical Methods Group Leader of the Center for Applied Scientific Computing at Lawrence Livermore National Laboratory. He specializes in multigrid, especially algebraic and nonlinear multigrid, on massively parallel computers.

Steve McCormick is Professor of Applied Mathematics at the University of Colorado at Boulder. His research interests include multigrid methods and first-order system least squares (FOSLS) for solving partial differential equations. He is the author of Multigrid Methods (SIAM, 1987), Multilevel Adaptive Methods for Partial Differential Equations (SIAM, 1989), and Multilevel Projection Methods for Partial Differential Equations (SIAM, 1992).

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QR code for A Multigrid Tutorial
TitelA Multigrid Tutorial: Second Edition
Band 72 von Other Titles in Applied Mathematics
AutorenWilliam L. Briggs, Van Emden Henson, Steve F. McCormick
Ausgabeillustriert, überarbeitet
VerlagSIAM, 2000
ISBN0898714621, 9780898714623
Länge205 Seiten
  
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