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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Editorial Reviews
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‘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
‘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
Book Description
This second edition of the popular first preserves its introductory spirit while doubling its amount of material. Topics have been enhanced with additional discussion, new numerical experiments, and improved figures. New topics include nonlinear equations, Neumann boundary conditions, variable mesh and variable coefficient problems, algebraic multigrid (AMG), and finite elements.
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Most Helpful Customer Reviews
10 of 10 people found the following review helpful:
4.0 out of 5 stars
Good introduction to Multigrid,
By A Customer
This review is from: A Multigrid Tutorial (Paperback)
Anyone with some background in applied mathmatics should find this book accessible. It is well laid-out and focuses on algorithms as opposed to mathematical proofs. It is ideal for someone interested in multigrid methods but who doesn't want to get lost in lots of mathematical theory. It doesn't cover cell centered methods, which is somewhat limiting, but other than that it was useful and informative.
8 of 8 people found the following review helpful:
5.0 out of 5 stars
An Accessible Multigrid Introduction...No, Really, I Mean It,
By
This review is from: A Multigrid Tutorial (Paperback)
Mathematicians who write well are a rare commodity. Briggs is one of them. He has the ability to break down complex numerics with understandable prose making concepts accessible to non-specialists. He operates under the rare assumption that his readers weren't born knowing this stuff. This multigrid primer written with Henson and McCormick is no exception. Expository discussions are lucid, compact and informative; examples and plots are helpful and well selected; and pseudo code is well documented with corresponding outputs to verify understanding. If you are embarking on Multigrid from scratch this short (if somewhat pricy) primer is worth the time and money.
3 of 3 people found the following review helpful:
5.0 out of 5 stars
Most Accessible Treatment of Multigrid Out There,
By Jasper (Your Mom, CO) - See all my reviews
This review is from: A Multigrid Tutorial (Paperback)
A Multigrid Tutorial is concise, engaging, and clearly written. Steve McCormick is the only guy I know that can pull off teaching in spandex. Just make sure you sit in the back row.
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Inside This Book
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First Sentence:
Multigrid methods were originally applied to simple boundary value problems that arise in many physical applications. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
full weighting operator, local mode analysis, multigrid code, grid complexity, relaxation sweeps, operator complexity, asymptotic convergence factor, smooth error, zero initial guess, coarsest grid, multigrid scheme, geometric case, multigrid methods, residual norm, finest grid, variational properties, variational property, residual equation, interpolation weights, relaxation schemes, iteration matrix, nested iteration, smoothing factor, updating step, coarse grid Key Phrases - Capitalized Phrases (CAPs): (learn more)
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Multigrid methods were originally applied to simple boundary value problems that arise in many physical applications. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
full weighting operator, local mode analysis, multigrid code, grid complexity, relaxation sweeps, operator complexity, asymptotic convergence factor, smooth error, zero initial guess, coarsest grid, multigrid scheme, geometric case, multigrid methods, residual norm, finest grid, variational properties, variational property, residual equation, interpolation weights, relaxation schemes, iteration matrix, nested iteration, smoothing factor, updating step, coarse grid Key Phrases - Capitalized Phrases (CAPs): (learn more)
Gauss Seidel New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 15
books:
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97
books
cite this book:
See all 97 books citing this book
- Multigrid Methods (Frontiers in Applied Mathematics) by Stephen F. McCormick in Back Matter (1), and Back Matter (2)
- An Analysis of the Finite Element Method by William Gilbert Strang in Back Matter
- Applied Numerical Linear Algebra by James W. Demmel in Back Matter
- Numerical Analysis (Proceedings of Symposia in Applied Mathematics, V. 22) by American Mathematical Society in Back Matter
- Matrix Iterative Analysis (Springer Series in Computational Mathematics) by Richard S. Varga in Back Matter
See all 15 books this book cites
- Multiscale Optimization Methods and Applications (Nonconvex Optimization and Its Applications) by William W. Hager on page 62, page 172, and page 363
- Linear Algebra - Linear Systems and Eigenvalues, Volume 3 by P.M. van Dooren on page 27, and page 349
- Scientific Computing in Electrical Engineering: Proceedings of SCEE2002 (Mathematics in Industry / The European Consortium for Mathematics in Industry) (v. 4) by Wilhelmus H. Schilders on page 256, and page 336
- Domain Decomposition Methods in Science and Engineering (Lecture Notes in Computational Science and Engineering) by Ralf Kornhuber on page 112, and page 476
- Iterative Methods for Sparse Linear Systems, Second Edition by Yousef Saad on page 449, and Back Matter
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