Iterative solution of large sparse systems of equations [electronic resource] / Wolfgang Hackbusch.

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Iterative solution of large sparse systems of equations [electronic resource] / Wolfgang Hackbusch.

Second edition.

9783319284835 (electronic book)
3319284835 (electronic book)
9783319284811

Switzerland : Springer, 2016.

English

1 online resource (xxiii, 509 pages) : illustrations.

QA297.8

518/.26

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed June 30, 2016).

Applied mathematical sciences (Springer-Verlag New York Inc.) ; 95.

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