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Titlebook: Sobolev Gradients and Differential Equations; J.W. Neuberger Book 2010Latest edition Springer-Verlag Berlin Heidelberg 2010 Ginzburg-Landa

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发表于 2025-3-21 16:24:15 | 显示全部楼层 |阅读模式
书目名称Sobolev Gradients and Differential Equations
编辑J.W. Neuberger
视频video
概述Includes supplementary material:
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Sobolev Gradients and Differential Equations;  J.W. Neuberger Book 2010Latest edition Springer-Verlag Berlin Heidelberg 2010 Ginzburg-Landa
描述.A Sobolev gradient of a real-valued functional on a Hilbert space is a gradient of that functional taken relative to an underlying Sobolev norm. This book shows how descent methods using such gradients allow a unified treatment of a wide variety of problems in differential equations. For discrete versions of partial differential equations, corresponding Sobolev gradients are seen to be vastly more efficient than ordinary gradients. In fact, descent methods with these gradients generally scale linearly with the number of grid points, in sharp contrast with the use of ordinary gradients. Aside from the first edition of this work, this is the only known account of Sobolev gradients in book form. ..Most of the applications in this book have emerged since the first edition was published some twelve years ago. What remains of the first edition has been extensively revised. There are a number of plots of results from calculations and a sample MatLab code is included for a simple problem. Those working through a fair portion of the material have in the past been able to use the theory on their own applications and also gain an appreciation of the possibility of a rather comprehensive poin
出版日期Book 2010Latest edition
关键词Ginzburg-Landau; Sobolev gradients; Sobolev space; boundary value problems; functional analysis; partial
版次2
doihttps://doi.org/10.1007/978-3-642-04041-2
isbn_softcover978-3-642-04040-5
isbn_ebook978-3-642-04041-2Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 2010
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Book 2010Latest editionof plots of results from calculations and a sample MatLab code is included for a simple problem. Those working through a fair portion of the material have in the past been able to use the theory on their own applications and also gain an appreciation of the possibility of a rather comprehensive poin
发表于 2025-3-23 02:06:32 | 显示全部楼层
0075-8434 ing through a fair portion of the material have in the past been able to use the theory on their own applications and also gain an appreciation of the possibility of a rather comprehensive poin978-3-642-04040-5978-3-642-04041-2Series ISSN 0075-8434 Series E-ISSN 1617-9692
发表于 2025-3-23 06:52:38 | 显示全部楼层
978-3-642-04040-5Springer-Verlag Berlin Heidelberg 2010
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