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Book details
Author : Wolfgang Hackbusch
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Pages : 509 pages
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Publisher : Springer 2016-06-22
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Language : English
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ISBN-10 : 3319284819
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ISBN-13 : 9783319284811
Book Synopsis
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.