The Gradient Discretisation Method(Mathématiques et Applications Vol. 82) paper XXIV, 497 p. 18
Droniou, Jérôme,
Eymard, Robert,
Gallouët, Thierry,
Guichard, Cindy,
Herbin, Raphaèle
著
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価格
\12,894(税込)
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発行年月 |
2018年08月 |
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出版国 |
スイス |
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言語 |
英語 |
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媒体 |
冊子 |
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装丁 |
paper |
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ページ数/巻数 |
XXIV, 497 p. |
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ジャンル |
洋書/理工学/数学/応用数学 |
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ISBN |
9783319790411 |
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商品コード |
1027224680 |
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本の性格 |
学術書/テキスト |
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新刊案内掲載月 |
2018年06月 |
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商品URL
| https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=1027224680 |
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内容
This monograph presents the Gradient Discretisation Method (GDM), which is a unified convergence analysis framework for numerical methods for elliptic and parabolic partial differential equations. The results obtained by the GDM cover both stationary and transient models; error estimates are provided for linear (and some non-linear) equations, and convergence is established for a wide range of fully non-linear models (e.g. Leray-Lions equations and degenerate parabolic equations such as the Stefan or Richards models). The GDM applies to a diverse range of methods, both classical (conforming, non-conforming, mixed finite elements, discontinuous Galerkin) and modern (mimetic finite differences, hybrid and mixed finite volume, MPFA-O finite volume), some of which can be built on very general meshes.