Front tracking for hyperbolic conservation laws / Helge Holden, Nils Henrik Risebro
| データ種別 | 電子書籍 |
|---|---|
| 出版者 | New York : Springer |
| 出版年 | c2002 |
書誌詳細を非表示
| 書誌ID | OB01024797 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | Includes bibliographical references (p. [351]-359) and index Machine generated contents note: 1 Introduction -- 1.1 Notes -- 2 Scalar Conservation Laws -- 2.1 Entropy Conditions -- 2.2 The Riemann Problem -- 2.3 Front Tracking -- 2.4 Existence and Uniqueness -- 2.5 Notes -- 3 A Short Course in Difference Methods -- 3.1 Conservative Methods -- 3.2 Error Estimates -- 3.3 A Priori Error Estimates -- 3.4 Measure-Valued Solutions -- 3.5 Notes -- 4 Multidimensional Scalar Conservation Laws -- 4.1 Dimensional Splitting Methods -- 4.2 Dimensional Splitting and Front Tracking -- 4.3 Convergence Rates -- 4.4 Operator Splitting: Diffusion -- 4.5 Operator Splitting: Source -- 4.6 Notes -- 5 The Riemann Problem for Systems -- 5.1 Hyperbolicity and Some Examples -- 5.2 Rarefaction Waves -- 5.3 The Hugoniot Locus: The Shock Curves -- 5.4 The Entropy Condition -- 5.5 The Solution of the Riemann Problem -- 5.6 Notes -- 6 Existence of Solutions of the Cauchy Problem -- 6.1 Front Tracking for Systems -- 6.2 Convergence -- 6.3 Notes -- 7 Well-Posedness of the Cauchy Problem -- 7.1 Stability -- 7.2 Uniqueness -- 7.3 Notes -- A Total Variation, Compactness, etc. -- A.1 Notes -- B The Method of Vanishing Viscosity -- B.1 Notes -- C Answers and Hints -- References -- Index. License restrictions may limit access |
| 著者標目 | *Holden, H (Helge) 1956- Risebro, Nils Henrik |
| 統一書名標目 | Applied mathematical sciences (Springer-Verlag New York Inc.) ; |
| 件 名 | LCSH:Conservation laws (Mathematics) LCSH:Differential equations, Hyperbolic |
| 分 類 | LCC:QA1 LCC:QA377 DC21:510 s DC21:515/.353 |
| 巻冊次 | alk. paper ; ISBN:3540432892 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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