Mendeley出力
＜図書＞
Geometric numerical integration : structure-preserving algorithms for ordinary differential equations
| 責任表示 | Ernst Hairer, Christian Lubich, Gerhard Wanner |
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| シリーズ | Springer series in computational mathematics ; 31 |
| データ種別 | 図書 |
| 版 | 2nd ed |
| 出版情報 | Berlin : Springer , c2006 |
| 本文言語 | 英語 |
| 大きさ | xvii, 644 p. : ill. ; 24 cm |
| 概要 | Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book. ... complete self-contained theory of symplectic and symmetric methods, which include Runge-Kutta, composition, splitting, multistep and various specially designed integrators, is presented and their construction and practical merits are discussed. The long-time behaviour of the numerical solutions is studied using a backward error analysis (modified equations) combined with KAM theory. The book is illustrated by many figures, it treats applications from physics and astronomy and contains many numerical experiments and comparisons of different approaches. The second edition is substantially revised and enlarged, with many improvements in the presentation and additions concerning in particular non-canonical Hamiltonian systems, highly oscillatory mechanical systems, and the dynamics of multistep methods. Book jacket.続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6949487 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | HAIR/10/3 | 2006 |
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023212006000931 |
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書誌詳細
| 一般注記 | Includes bibliographical references (p. [617]-636) and index |
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| 著者標目 | *Hairer, E. (Ernst), 1949- Lubich, Christian, 1959- Wanner, G. |
| 書誌ID | 1001229576 |
| ISBN | 3540306633 |
| NCID | BA76381889 |
| 巻冊次 | ISBN:3540306633 ; XISBN:9783540306634 |
| 登録日 | 2009.09.18 |
| 更新日 | 2017.02.18 |