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Multigrid Tutorial [Paperback]

William L. Briggs (Author)
4.8 out of 5 stars  See all reviews (5 customer reviews)


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Paperback, June 1987 --  
There is a newer edition of this item:
A Multigrid Tutorial A Multigrid Tutorial 4.8 out of 5 stars (5)
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Book Description

0898712211 978-0898712216 June 1987
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.
--This text refers to an alternate Paperback edition.


Editorial Reviews

Review

‘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 --This text refers to an alternate Paperback edition.

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. --This text refers to an alternate Paperback edition.

Product Details

  • Paperback: 88 pages
  • Publisher: Society for Industrial & Applied (June 1987)
  • Language: English
  • ISBN-10: 0898712211
  • ISBN-13: 978-0898712216
  • Product Dimensions: 9.7 x 6.6 x 0.3 inches
  • Shipping Weight: 5.6 ounces
  • Average Customer Review: 4.8 out of 5 stars  See all reviews (5 customer reviews)
  • Amazon Best Sellers Rank: #2,356,171 in Books (See Top 100 in Books)

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Average Customer Review
4.8 out of 5 stars (5 customer reviews)
 
 
 
 
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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, April 4, 2002
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.
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8 of 8 people found the following review helpful:
5.0 out of 5 stars An Accessible Multigrid Introduction...No, Really, I Mean It, April 27, 2005
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.
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3 of 3 people found the following review helpful:
5.0 out of 5 stars Most Accessible Treatment of Multigrid Out There, December 3, 2007
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 (learn more)
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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)
Gauss Seidel
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