| Iterative Solution of Large Sparse Systems of Equations 2016 Edition Contributor(s): Hackbusch, Wolfgang (Author) |
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ISBN: 3319284819 ISBN-13: 9783319284811 Publisher: Springer OUR PRICE: $189.99 Product Type: Hardcover - Other Formats Published: July 2016 |
| Additional Information |
| BISAC Categories: - Mathematics | Number Systems - Mathematics | Algebra - Linear - Mathematics | Differential Equations - General |
| Dewey: 512.5 |
| Series: Applied Mathematical Sciences |
| Physical Information: 1.19" H x 6.14" W x 9.21" (2.03 lbs) 509 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |