Multigrid Methods: 1st Edition (Hardback) book cover

Multigrid Methods

1st Edition

By James H Bramble

Chapman and Hall/CRC

176 pages

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Hardback: 9780582234352
pub: 1993-10-18
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eBook (VitalSource) : 9780203746332
pub: 2019-01-22
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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

Introduction to iterative methods

Model problems and Sobolev spaces

Abstract multilevel algorithms

Multigrid algorithms with nonnested spaces and varying forms

Construction of classes of smoothers

Application to second order elliptic problems

Perturbation of forms

Pseudodifferential operators of order minus one

Application to fourth order problems

Implementation, work estimates, and full multigrid

Appendices

About the Series

Chapman & Hall/CRC Research Notes in Mathematics Series

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Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT007000
MATHEMATICS / Differential Equations