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

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樓主
發(fā)表于 2025-3-21 16:53:09 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Numerical Methods for Nonlinear Partial Differential Equations
編輯S?ren Bartels
視頻videohttp://file.papertrans.cn/670/669077/669077.mp4
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
叢書名稱Springer Series in Computational Mathematics
圖書封面Titlebook: Numerical Methods for Nonlinear Partial Differential Equations;  S?ren 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
關(guān)鍵詞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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沙發(fā)
發(fā)表于 2025-3-21 21:32:16 | 只看該作者
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
板凳
發(fā)表于 2025-3-22 04:20:02 | 只看該作者
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
地板
發(fā)表于 2025-3-22 05:01:35 | 只看該作者
S?ren 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
5#
發(fā)表于 2025-3-22 10:49:00 | 只看該作者
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.
6#
發(fā)表于 2025-3-22 15:22:51 | 只看該作者
7#
發(fā)表于 2025-3-22 19:51:13 | 只看該作者
S?ren 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
8#
發(fā)表于 2025-3-23 01:05:41 | 只看該作者
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..
9#
發(fā)表于 2025-3-23 02:03:59 | 只看該作者
10#
發(fā)表于 2025-3-23 08:56:41 | 只看該作者
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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