Iterative Solution of Large Sparse Systems of Equations / by Wolfgang Hackbusch
| データ種別 | 電子書籍 |
|---|---|
| 版 | 2nd ed. 2016. |
| 出版者 | Cham : Springer International Publishing : Imprint: Springer |
| 出版年 | 2016 |
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| 書誌ID | OB01018408 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | Part I: Linear Iterations -- Introduction -- Iterative Methods -- Classical Linear Iterations in the Positive Definite Case -- Analysis of Classical Iterations Under Special Structural Conditions -- Algebra of Linear Iterations -- Analysis of Positive Definite Iterations -- Generation of Iterations. Part II: Semi-Iterations and Krylov Methods -- Semi-Iterative Methods -- Gradient Methods -- Conjugate Gradient Methods and Generalizations -- Part III: Special Iterations -- Multigrid Iterations -- Domain Decomposition and Subspace Methods -- H-LU Iteration -- Tensor-based Methods -- Appendices. License restrictions may limit access Summary: 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 |
| 著者標目 | *Hackbusch, Wolfgang SpringerLink (Online service) |
| 統一書名標目 | Applied Mathematical Sciences, |
| 件 名 | LCSH:Mathematics LCSH:Matrix theory LCSH:Algebra LCSH:Partial differential equations LCSH:Numerical analysis FREE:Mathematics FREE:Numerical Analysis FREE:Linear and Multilinear Algebras, Matrix Theory FREE:Partial Differential Equations |
| 分 類 | LCC:QA297-299.4 DC23:518 |
| 巻冊次 | ISBN:9783319284835 RefWorks出力（各巻） print ; ISBN:9783319284811 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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※2020年8月16日以降