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Mathematical Aspects of Discontinuous Galerkin Methods / by Daniele Antonio Di Pietro, Alexandre Ern
(Mathématiques et Applications. ISSN:21983275 ; 69)
版 | 1st ed. 2012. |
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出版者 | (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer) |
出版年 | 2012 |
本文言語 | 英語 |
大きさ | XVII, 384 p. 34 illus : online resource |
著者標目 | *Di Pietro, Daniele Antonio author Ern, Alexandre author SpringerLink (Online service) |
件 名 | LCSH:Numerical analysis LCSH:Mathematics -- Data processing 全ての件名で検索 LCSH:Engineering mathematics LCSH:Engineering -- Data processing 全ての件名で検索 FREE:Numerical Analysis FREE:Computational Mathematics and Numerical Analysis FREE:Mathematical and Computational Engineering Applications |
一般注記 | Basic concepts -- Steady advection-reaction -- Unsteady first-order PDEs -- PDEs with diffusion -- Additional topics on pure diffusion -- Incompressible flows -- Friedhrichs' Systems -- Implementation This book introduces the basic ideas for building discontinuous Galerkin methods and, at the same time, incorporates several recent mathematical developments. It is to a large extent self-contained and is intended for graduate students and researchers in numerical analysis. The material covers a wide range of model problems, both steady and unsteady, elaborating from advection-reaction and diffusion problems up to the Navier-Stokes equations and Friedrichs' systems. Both finite-element and finite-volume viewpoints are utilized to convey the main ideas underlying the design of the approximation. The analysis is presented in a rigorous mathematical setting where discrete counterparts of the key properties of the continuous problem are identified. The framework encompasses fairly general meshes regarding element shapes and hanging nodes. Salient implementation issues are also addressed HTTP:URL=https://doi.org/10.1007/978-3-642-22980-0 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783642229800 |
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EB00232931 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA297-299.4 DC23:518 |
書誌ID | 4000116554 |
ISBN | 9783642229800 |
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※2017年9月4日以降