Mendeley出力
＜図書＞
Computer-aided analysis of difference schemes for partial differential equations
| 責任表示 | Victor G. Ganzha, E.V. Vorozhtsov |
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| データ種別 | 図書 |
| 出版情報 | New York : Wiley , c1996 |
| 本文言語 | 英語 |
| 大きさ | xi, 458 p. ; 24 cm |
| 概要 | Advances in computer technology have conveniently coincided with trends in numerical analysis toward increased complexity of computational algorithms based on finite difference methods. It is no longe... feasible to perform stability investigation of these methods manually-and no longer necessary. As this book shows, modern computer algebra tools can be combined with methods from numerical analysis to generate programs that will do the job automatically. Comprehensive, timely, and accessible-this is the definitive reference on the application of computerized symbolic manipulations for analyzing the stability of a wide range of difference schemes. In particular, it deals with those schemes that are used to solve complex physical problems in areas such as gas dynamics, heat and mass transfer, catastrophe theory, elasticity, shallow water theory, and more. Introducing many new applications, methods, and concepts, Computer-Aided Analysis of Difference Schemes for Partial Differential Equations Shows how computational algebra expedites the task of stability analysis-whatever the approach to stability investigation Covers ten different approaches for each stability method Deals with the specific characteristics of each method and its application to problems commonly encountered by numerical modelers Describes all basic mathematical formulas that are necessary to implement each algorithm Provides each formula in several global algebraic symbolic languages, such as MAPLE, MATHEMATICA, and REDUCE Includes numerous illustrations and thought-provoking examples throughout the text For mathematicians, physicists, and engineers, as well as for postgraduate students, and for anyone involved with numeric solutions for real-world physical problems, this book provides a valuable resource, a helpful guide, and a head start on developments for the twenty-first century. 続きを見る |
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 | GANZ/10/1 | 1996 |
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023211997002806 |
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書誌詳細
| 一般注記 | Includes index |
|---|---|
| 著者標目 | Vorozht︠s︡ov, E. V. (Evgeniĭ Vasilʹevich) *Ganzha, Victor Grigorʹevich |
| 件 名 | LCSH:Differential equations, Partial -- Numerical solutions -- Data processing
全ての件名で検索
LCSH:Finite differences -- Data processing 全ての件名で検索 |
| 分 類 | LCC:QA377 DC20:515/.353 NDC7:413 |
| 書誌ID | 1001392634 |
| ISBN | 0471129461 |
| NCID | BA27576553 |
| 巻冊次 | ISBN:0471129461 |
| 登録日 | 2009.11.02 |
| 更新日 | 2017.10.03 |