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Numerical Methods and Analysis of Multiscale Problems / by Alexandre L. Madureira
(SpringerBriefs in Mathematics. ISSN:21918201)
版 | 1st ed. 2017. |
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出版者 | Cham : Springer International Publishing : Imprint: Springer |
出版年 | 2017 |
本文言語 | 英語 |
大きさ | X, 123 p. 31 illus., 9 illus. in color : online resource |
著者標目 | *Madureira, Alexandre L author SpringerLink (Online service) |
件 名 | LCSH:Numerical analysis LCSH:Differential equations LCSH:Mathematics FREE:Numerical Analysis FREE:Differential Equations FREE:Applications of Mathematics |
一般注記 | Introductory Material and Finite Element Methods -- A One-dimensional Singular Perturbed Problem -- An Application in Neuroscience: Heterogeneous Cable Equation -- Two-Dimensional Reaction-Diffusion Equations -- Modeling PDEs in Domains with Rough Boundaries -- Partial Differential Equations with Oscillatory Coefficients This book is about numerical modeling of multiscale problems, and introduces several asymptotic analysis and numerical techniques which are necessary for a proper approximation of equations that depend on different physical scales. Aimed at advanced undergraduate and graduate students in mathematics, engineering and physics – or researchers seeking a no-nonsense approach –, it discusses examples in their simplest possible settings, removing mathematical hurdles that might hinder a clear understanding of the methods. The problems considered are given by singular perturbed reaction advection diffusion equations in one and two-dimensional domains, partial differential equations in domains with rough boundaries, and equations with oscillatory coefficients. This work shows how asymptotic analysis can be used to develop and analyze models and numerical methods that are robust and work well for a wide range of parameters HTTP:URL=https://doi.org/10.1007/978-3-319-50866-5 |
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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 | 9783319508665 |
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EB00232904 |
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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 | 4000116729 |
ISBN | 9783319508665 |
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