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Titlebook: Partial Differential Equations with Numerical Methods; Stig Larsson,Vidar Thomée Textbook 2003 Springer-Verlag Berlin Heidelberg 2003 Boun

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書目名稱Partial Differential Equations with Numerical Methods
編輯Stig Larsson,Vidar Thomée
視頻videohttp://file.papertrans.cn/742/741532/741532.mp4
概述Very well-written.Elementary introduction.Includes supplementary material:
叢書名稱Texts in Applied Mathematics
圖書封面Titlebook: Partial Differential Equations with Numerical Methods;  Stig Larsson,Vidar Thomée Textbook 2003 Springer-Verlag Berlin Heidelberg 2003 Boun
描述.The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering. The main theme is the integration of the theory of linear PDEs and the numerical solution of such equations. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. As preparation, the two-point boundary value problem and the initial-value problem for ODEs are discussed in separate chapters. There is also one chapter on the elliptic eigenvalue problem and eigenfunction expansion. The presentation does not presume a deep knowledge of mathematical and functional analysis. Some background on linear functional analysis and Sobolev spaces, and also on numerical linear algebra, is reviewed in two appendices..
出版日期Textbook 2003
關鍵詞Boundary value problem; Sobolev space; elliptic equation; finite difference method; finite element metho
版次1
doihttps://doi.org/10.1007/978-3-540-88706-5
isbn_softcover978-3-540-88705-8
isbn_ebook978-3-540-88706-5Series ISSN 0939-2475 Series E-ISSN 2196-9949
issn_series 0939-2475
copyrightSpringer-Verlag Berlin Heidelberg 2003
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