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Titlebook: Introduction to Partial Differential Equations with MATLAB; Jeffery Cooper Textbook 1998 Springer Science+Business Media New York 1998 Bou

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发表于 2025-3-21 19:23:53 | 显示全部楼层 |阅读模式
书目名称Introduction to Partial Differential Equations with MATLAB
编辑Jeffery Cooper
视频video
概述Includes supplementary material:
丛书名称Applied and Numerical Harmonic Analysis
图书封面Titlebook: Introduction to Partial Differential Equations with MATLAB;  Jeffery Cooper Textbook 1998 Springer Science+Business Media New York 1998 Bou
描述Overview The subject of partial differential equations has an unchanging core of material but is constantly expanding and evolving. The core consists of solution methods, mainly separation of variables, for boundary value problems with constant coeffi­ cients in geometrically simple domains. Too often an introductory course focuses exclusively on these core problems and techniques and leaves the student with the impression that there is no more to the subject. Questions of existence, uniqueness, and well-posedness are ignored. In particular there is a lack of connection between the analytical side of the subject and the numerical side. Furthermore nonlinear problems are omitted because they are too hard to deal with analytically. Now, however, the availability of convenient, powerful computational software has made it possible to enlarge the scope of the introductory course. My goal in this text is to give the student a broader picture of the subject. In addition to the basic core subjects, I have included material on nonlinear problems and brief discussions of numerical methods. I feel that it is important for the student to see nonlinear problems and numerical methods at the begi
出版日期Textbook 1998
关键词Boundary value problem; Fourier transform; MATLAB; Maxwell equation; discrete Fourier transform; fast Fou
版次1
doihttps://doi.org/10.1007/978-1-4612-1754-1
isbn_softcover978-1-4612-7266-3
isbn_ebook978-1-4612-1754-1Series ISSN 2296-5009 Series E-ISSN 2296-5017
issn_series 2296-5009
copyrightSpringer Science+Business Media New York 1998
The information of publication is updating

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发表于 2025-3-21 22:21:31 | 显示全部楼层
Introduction to Partial Differential Equations with MATLAB978-1-4612-1754-1Series ISSN 2296-5009 Series E-ISSN 2296-5017
发表于 2025-3-22 03:07:03 | 显示全部楼层
https://doi.org/10.1007/978-1-4612-1754-1Boundary value problem; Fourier transform; MATLAB; Maxwell equation; discrete Fourier transform; fast Fou
发表于 2025-3-22 08:11:30 | 显示全部楼层
Preliminaries,In this section we will introduce some ideas and notations which we will use often in the study of partial differential equations. You will have seen most of this before in calculus. Details and proofs of these results can be found in most calculus books or in an advanced calculus book such as [Bar].
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First-Order Equations,A . (PDE) for the scalar function . is an equation
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The Heat and Wave Equations in Higher Dimensions,We shall use x to denote points in . or . with components . or ., and the Euclidean length of a vector is denoted . or .. The Laplace operator (Laplacian) in . or . is
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Jeffery CooperIncludes supplementary material:
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