Multigrid methods

Stephen F. McCormick, editor

A thoughtful consideration of the current level of development of multigrid methods, this volume is a carefully edited collection of papers that addresses its topic on several levels. The first three chapters orient the reader who is familiar with standard numerical techniques to multigrid methods, first by discussing multigrid in the context of standard techniques, second by detailing the mechanics of use of the method, and third by applying the basic method to some current problems in fluid dynamics. The fourth chapter provides a unified development, complete with theory, of algebraic multigrid (AMG), which is a linear equation solver based on multigrid principles. The last chapter is an ambitious development of a very general theory of multigrid methods for variationally posed problems. Included as an appendix is the latest edition of the Multigrid Bibliography, an attempted compilation of all existing research publications on multigrid.

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  • Introduction
  • Linear Multigrid Methods
  • Multigrid Approaches to the Euler Equations
  • Algebraic Multigrid
  • Variational Multigrid Theory
  • Appendix 1, MV Program Listing
  • Appendix 2, Multigrid Bibliography, KWIC Reference Guide

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書名 Multigrid methods
著作者等 McCormick, Stephen Fahrney
Banks H. T.
McCormick Stephen F.
シリーズ名 Frontiers in applied mathematics
出版元 Society for Industrial and Applied Mathematics
刊行年月 1987
ページ数 xvii, 282 p.
大きさ 24 cm
ISBN 0898712149
NCID BA03457775
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言語 英語
出版国 アメリカ合衆国