A Multigrid Tutorial
2nd Edition
Will be published approx. on 31. July 2000
Book
Paperback/Softback
205 pages
978-0-89871-462-3 (ISBN)
Description
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.
Reviews / Votes
This is a great book for students. I taught a one-semester course in multilevel methods, and used this book for half of the material. I'm a very happy customer. The exposition is clear and well motivated. There is just the right amount of theory. The authors have gone out of their way to make it easy for a student to implement the methods, see their performance, and do their own experiments. The problems in the book are thoughtfully designed. My students really enjoyed the book.""- C. T. Kelley, North Carolina State University;""The whole tutorial has a clear and easily accessible exposition; meanwhile it is suitably arranged so that the layout can be a useful guide for implementation of challenging research problems.""- Mohammad Asadzadeh, S-CAL; Goteborg, Mathematical Reviews
More details
Edition
Second Edition
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Edition type
New edition
Product notice
Paperback (trade)
Dimensions
Height: 252 mm
Width: 178 mm
Thickness: 10 mm
Weight
376 gr
ISBN-13
978-0-89871-462-3 (9780898714623)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Previous edition
William L. Briggs
A Multigrid Tutorial
Book
06/1987
Society for Industrial & Applied Mathematics,U.S.
€42.28
Article exhausted; check for reprint
Persons
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).
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).
Content
Preface to the Second Edition
Preface to the First Edition
Chapter 1: Model Problems
Chapter 2: Basic Iterative Methods
Chapter 3: Elements of Multigrid
Chapter 4: Implementation
Chapter 5: Some Theory
Chapter 6: Nonlinear Problems
Chapter 7: Selected Applications
Chapter 8: Algebraic Multigrid (AMG)
Chapter 9: Multilevel Adaptive Methods
Chapter 10: Finite Elements
Bibliography
Index
Preface to the First Edition
Chapter 1: Model Problems
Chapter 2: Basic Iterative Methods
Chapter 3: Elements of Multigrid
Chapter 4: Implementation
Chapter 5: Some Theory
Chapter 6: Nonlinear Problems
Chapter 7: Selected Applications
Chapter 8: Algebraic Multigrid (AMG)
Chapter 9: Multilevel Adaptive Methods
Chapter 10: Finite Elements
Bibliography
Index