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Titlebook: Numerical Methods for Nonlinear Partial Differential Equations; Sören Bartels Book 2015 Springer International Publishing Switzerland 2015

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发表于 2025-3-21 16:53:09 | 显示全部楼层 |阅读模式
书目名称Numerical Methods for Nonlinear Partial Differential Equations
编辑Sören Bartels
视频video
概述Provides rigorous numerical analyses for the treatment of modern applications with state-of-the-art approximation schemes.Includes explanations of the mathematical modeling and analytical properties f
丛书名称Springer Series in Computational Mathematics
图书封面Titlebook: Numerical Methods for Nonlinear Partial Differential Equations;  Sören Bartels Book 2015 Springer International Publishing Switzerland 2015
描述.The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations..
出版日期Book 2015
关键词error estimates; finite element method; nonlinear partial differential equations; numerical algorithms;
版次1
doihttps://doi.org/10.1007/978-3-319-13797-1
isbn_softcover978-3-319-35680-8
isbn_ebook978-3-319-13797-1Series ISSN 0179-3632 Series E-ISSN 2198-3712
issn_series 0179-3632
copyrightSpringer International Publishing Switzerland 2015
The information of publication is updating

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发表于 2025-3-21 21:32:16 | 显示全部楼层
0179-3632 rties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations..978-3-319-35680-8978-3-319-13797-1Series ISSN 0179-3632 Series E-ISSN 2198-3712
发表于 2025-3-22 04:20:02 | 显示全部楼层
ed point approach, the method of upper and lower solution, and the Kuratowski measure of noncompactness. This book is addressed to a wide audience of specialists such as mathematicians, engineers, biologists, and physicists. ​978-1-4899-9547-6978-1-4614-4036-9Series ISSN 1389-2177 Series E-ISSN 2197-795X
发表于 2025-3-22 05:01:35 | 显示全部楼层
Sören Bartelsed point approach, the method of upper and lower solution, and the Kuratowski measure of noncompactness. This book is addressed to a wide audience of specialists such as mathematicians, engineers, biologists, and physicists. ​978-1-4899-9547-6978-1-4614-4036-9Series ISSN 1389-2177 Series E-ISSN 2197-795X
发表于 2025-3-22 10:49:00 | 显示全部楼层
shall prove three more advanced identities for Gauss sums; we will also obtain an interesting connection to the eigenvalues of the matrix of the Discrete Fourier Transform defined in Sect. .. Finally, we extend the DFT to abelian groups in general and present some applications to abelian difference sets and periodic sequences.
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发表于 2025-3-22 19:51:13 | 显示全部楼层
Sören Bartelscomposites. The chapters include both theoretical points of view and discussions of key experiments. Contributors include: from MIT, A.S. Argon, D.M. Parks; from Cambridge, M.F. Ashby; from U.C. Santa Barbara, A.G. Evans, R. McMeeking; from Glasgow, J. Hancock; from Harvard, J.W. Hutchinson, J.R. Rice; from S978-1-4612-7726-2978-1-4612-2934-6
发表于 2025-3-23 01:05:41 | 显示全部楼层
Book 2015se problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations..
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发表于 2025-3-23 08:56:41 | 显示全部楼层
Analytical Background such as the direct method in the calculus of variations and gradient flows that imply their well-posedness are discussed. The definitions and most important properties of Sobolev and Sobolev–Bochner spaces are provided.
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