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ISBN: 9783030793852 9783030793869 9783030793876 9783030793845 Year: 2021 Publisher: Cham Springer International Publishing
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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 beyond the Poisson's equation for all models and methods.
Mathematical analysis --- Numerical analysis --- Mathematics --- Mathematical physics --- Applied physical engineering --- Engineering sciences. Technology --- Computer. Automation --- ICT (informatie- en communicatietechnieken) --- analyse (wiskunde) --- toegepaste wiskunde --- theoretische fysica --- economie --- informatica --- wiskunde --- ingenieurswetenschappen --- fysica --- numerieke analyse --- Differential equations, Partial --- Equacions en derivades parcials --- Solucions numèriques --- Numerical solutions.
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ISBN: 9783030793852 9783030793869 9783030793876 9783030793845 Year: 2021 Publisher: Cham Springer International Publishing :Imprint: Springer
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Mathematical analysis --- Numerical analysis --- Mathematics --- Mathematical physics --- Applied physical engineering --- Engineering sciences. Technology --- Computer. Automation --- ICT (informatie- en communicatietechnieken) --- analyse (wiskunde) --- toegepaste wiskunde --- theoretische fysica --- economie --- informatica --- wiskunde --- ingenieurswetenschappen --- fysica --- numerieke analyse --- Differential equations, Partial --- Numerical solutions. --- Equacions en derivades parcials --- Solucions numèriques --- Anàlisi numèrica --- EDPs --- Equació diferencial en derivades parcials --- Equacions diferencials en derivades parcials --- Equacions diferencials parcials --- Equacions diferencials --- Dispersió (Matemàtica) --- Equació d'ona --- Equació de Dirac --- Equació de Fokker-Planck --- Equació de Schrödinger --- Equacions de Navier-Stokes --- Equacions de Hamilton-Jacobi --- Equacions de Maxwell --- Equacions de Monge-Ampère --- Equacions de Von Kármán --- Equacions diferencials el·líptiques --- Equacions diferencials hiperbòliques --- Equacions diferencials parabòliques --- Equacions diferencials parcials estocàstiques --- Funcions harmòniques --- Laplacià --- Problema de Cauchy --- Problema de Neumann --- Teoria espectral (Matemàtica)
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ISBN: 9781501512001 Year: 2020 Publisher: Berlin Boston
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ISBN: 9781501512001 9781946850010 Year: 2020 Publisher: Berlin ;; Boston De Gruyter
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