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Titlebook: Numerical Methods for Elliptic and Parabolic Partial Differential Equations; With contributions b Peter Knabner,Lutz Angermann Textbook 202

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書目名稱Numerical Methods for Elliptic and Parabolic Partial Differential Equations
副標(biāo)題With contributions b
編輯Peter Knabner,Lutz Angermann
視頻videohttp://file.papertrans.cn/670/669058/669058.mp4
概述Provides application orientated introduction to the numerical methods for partial differential equations.Examines modern topics, including cell-centered finite volume methods and methods of convection
叢書名稱Texts in Applied Mathematics
圖書封面Titlebook: Numerical Methods for Elliptic and Parabolic Partial Differential Equations; With contributions b Peter Knabner,Lutz Angermann Textbook 202
描述This graduate-level text provides an application oriented introduction to the numerical methods for elliptic and parabolic partial differential equations. It covers finite difference, finite element, and finite volume methods, interweaving theory and applications throughout. The book examines modern topics such as adaptive methods, multilevel methods, and methods for convection-dominated problems and includes detailed illustrations and extensive exercises. For students with mathematics major it is an excellent introduction to the theory and methods, guiding them in the selection of methods and helping them to understand and pursue finite element programming. For engineering and physics students it provides a general framework for the formulation and analysis of methods..?.This second edition sees additional chapters on mixed discretization and on generalizing and unifying known approaches; broader applications on systems of diffusion, convection and reaction; enhanced chapters on node-centered finite volume methods and methods of convection-dominated problems, specifically treating the now-popular cell-centered finite volume method; and the consideration of realistic formulations b
出版日期Textbook 2021Latest edition
關(guān)鍵詞finite element method; finite volume method; finite difference method; mixed methods; nonconforming meth
版次2
doihttps://doi.org/10.1007/978-3-030-79385-2
isbn_softcover978-3-030-79387-6
isbn_ebook978-3-030-79385-2Series ISSN 0939-2475 Series E-ISSN 2196-9949
issn_series 0939-2475
copyrightSpringer Nature Switzerland AG 2021
The information of publication is updating

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For Example: Modelling Processes in Porous Media with Differential Equations,us on reaction and transport processes in porous media. These sections are independent of the remaining parts and may be skipped by the reader. Section ., howevershould be consulted because it fixes some notation to be used later on.
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Grid Generation and A Posteriori Error Estimation,general, a stand-alone finite element code consists further of the intrinsic .?(.?of the finite-dimensional system of algebraic equations, rearrangement of data (if necessary), solution of the algebraic problem) and the .?(editing of the results, extraction of intermediate results, preparation for graphic output, a posteriori error estimation).
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Textbook 2021Latest editionons. It covers finite difference, finite element, and finite volume methods, interweaving theory and applications throughout. The book examines modern topics such as adaptive methods, multilevel methods, and methods for convection-dominated problems and includes detailed illustrations and extensive
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