Matrix-Based Multigrid: Theory and Applications

Matrix-Based Multigrid: Theory and Applications
ISBN-10
0387497641
ISBN-13
9780387497648
Category
Mathematics
Pages
315
Language
English
Published
2008-07-02
Publisher
Springer Science & Business Media
Author
Yair Shapira

Description

Matrix-Based Multigrid introduces and analyzes the multigrid approach for the numerical solution of large sparse linear systems arising from the discretization of elliptic partial differential equations. Special attention is given to the powerful matrix-based-multigrid approach, which is particularly useful for problems with variable coefficients and nonsymmetric and indefinite problems. This book can be used as a textbook in courses in numerical analysis, numerical linear algebra, and numerical PDEs at the advanced undergraduate and graduate levels in computer science, math, and applied math departments. The theory is written in simple algebraic terms and therefore requires preliminary knowledge only in basic linear algebra and calculus.

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