Multigrid Methods  book cover
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1st Edition

Multigrid Methods





ISBN 9780582234352
Published October 18, 1993 by Chapman and Hall/CRC
176 Pages

 
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Book Description

Multigrid methods are among the most efficient iterative methods for the solution of linear systems which arise in many large scale scientific calculations. Every researcher working with the numerical solution of partial differential equations should at least be familiar with this powerful technique. This invaluable book presents results concerning the rates of convergence of multigrid iterations.

Table of Contents

1. Introduction to Iterative Methods 2. Model problems and Sobolev spaces 3. Abstract Multilevel Algorithms 4. Multigrid Algorithms with Nonnested Spaces and Varying Forms 5. Construction of Classes of Smoothers 6. Application to Second Order Elliptic Problems 7. Perturbation of Forms 8. Pseudodifferential operators of order minus one 9. Application to fourth order problems 10. Implementation, work estimates and full multigrid

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Author(s)

Biography

Bramble, James H