Iterative Solution of Large Sparse Systems of Equations

By:

Wolfgang Hackbusch

Format:

Paperback / softback

Series:

Applied Mathematical Sciences,

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Description

In the second edition of this classic monograph, complete with four new chapters and updated references, readers will now have access to content describing and analysing classical and modern methods with emphasis on the algebraic structure of linear iteration, which is usually ignored in other literature. The necessary amount of work increases dramatically with the size of systems, so one has to search for algorithms that most efficiently and accurately solve systems of, e.g., several million equations. The choice of algorithms depends on the special properties the matrices in practice have. An important class of large systems arises from the discretization of partial differential equations. In this case, the matrices are sparse (i.e., they contain mostly zeroes) and well-suited to iterative algorithms. The first edition of this book grew out of a series of lectures given by the author at the Christian-Albrecht University of Kiel to students of mathematics. The second edition includes quite novel approaches.

Author Biography:

Wolfgang Hackbusch is a Professor in the Scientific Computing department at Max Planck Institute for Mathematics in the Sciences. His research areas include numerical treatment of partial differential equations, numerical treatment of integral equations, and hierarchical matrices.

Release date Australia

May 31st, 2018

Author

Wolfgang Hackbusch

Audience

Professional & Vocational

Edition

Softcover reprint of the original 2nd ed. 2016

Illustrations

11 Illustrations, color; 15 Illustrations, black and white; XXIII, 509 p. 26 illus., 11 illus. in color.

Pages

509

Series

Applied Mathematical Sciences,

Dimensions

156x234x27

ISBN-13

9783319803609

Product ID

28217987

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