Mendeley出力
＜図書＞
Applications in engineering and physical sciences
| 責任表示 | edited by N.H. Ibragimov ... [et al.] |
|---|---|
| シリーズ | CRC handbook of Lie group analysis of differential equations / edited by N.H. Ibragimov ; v. 2 |
| データ種別 | 図書 |
| 出版情報 | Boca Raton, Fl. ; Tokyo : CRC Press , c1995 |
| 本文言語 | 英語 |
| 大きさ | xix, 546 p. : ill. ; 25 cm |
| 概要 | Volume 2 offers a unique blend of classical results of Sophus Lie with new, modern developments & numerous applications which span a period of more than 100 years. As a result, this reference is up to...date, with the latest information on the group theoretic methods used frequently in mathematical physics & engineering. Volume 2 is divided into three parts. Part A focuses on relevant definitions, main algorithms, group classification schemes for partial differential equations, & multifaceted possibilities offered by Lie group theoretic philosophy. Part B contains the group analysis of a variety of mathematical models for diverse natural phenomena. It tabulates symmetry groups & solutions for linear equations of mathematical physics, classical field theory, viscous & non-Newtonian fluids, boundary layer problems, Earth sciences, elasticity, plasticity, plasma theory (Vlasov-Maxwell equations), & nonlinear optics & acoustics. Part C offers an English translation of Sophus Lie's fundamental paper on the group classification & invariant solutions of linear second-order equations with two independent variables. This will serve as a concise, practical guide to the group analysis of partial differential equations. 続きを見る |
| 目次 | v. 1. Symmetries, exact solutions, and conservation laws / W.F. Ames ... [et al.] v. 2. Applications in engineering and physical sciences / A.V. Aksenov ... [et al.] v. 3. New trends in theoretical developments and computational methods / R.L. Anderson ... [et al.]. |
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 | IBRA/30/2-2A | 1995 |
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023211996002235 |
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理系図3F 数理独自 | IBRA/30/2-2 | 1995 |
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068222194006418 |
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書誌詳細
| 一般注記 | Includes bibliographical references and indexes |
|---|---|
| 著者標目 | Ibragimov, N. Kh. (Nailʹ Khaĭrullovich) |
| 件 名 | LCSH:Differential equations -- Numerical solutions
全ての件名で検索
LCSH:Lie groups |
| 分 類 | NDC8:413.6 LCC:QA372 DC20:515/.35 |
| 書誌ID | 1001385667 |
| ISBN | 0849328640 |
| NCID | BA2408606X |
| 巻冊次 | ISBN:0849328640 |
| 登録日 | 2009.11.02 |
| 更新日 | 2009.11.02 |