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Book
ISBN: 3319790412 3319790420 Year: 2018 Publisher: Cham : Springer International Publishing : Imprint: Springer,
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This monograph presents the Gradient Discretisation Method (GDM), which is a unified convergence analysis framework for numerical methods for elliptic and parabolic partial differential equations. The results obtained by the GDM cover both stationary and transient models; error estimates are provided for linear (and some non-linear) equations, and convergence is established for a wide range of fully non-linear models (e.g. Leray–Lions equations and degenerate parabolic equations such as the Stefan or Richards models). The GDM applies to a diverse range of methods, both classical (conforming, non-conforming, mixed finite elements, discontinuous Galerkin) and modern (mimetic finite differences, hybrid and mixed finite volume, MPFA-O finite volume), some of which can be built on very general meshes.
Mathematics.
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Partial differential equations.
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Computer mathematics.
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Computational Mathematics and Numerical Analysis.
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Partial Differential Equations.
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Computer mathematics
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Discrete mathematics
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Electronic data processing
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Partial differential equations
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Math
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Science
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Mathematics
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Computer science
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Differential equations, partial.
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Differential equations, Partial.
Digital
ISBN: 9783642206719 Year: 2011 Publisher: Berlin, Heidelberg Springer Berlin Heidelberg
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Digital
ISBN: 9783319790428 Year: 2018 Publisher: Cham Springer International Publishing
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This monograph presents the Gradient Discretisation Method (GDM), which is a unified convergence analysis framework for numerical methods for elliptic and parabolic partial differential equations. The results obtained by the GDM cover both stationary and transient models; error estimates are provided for linear (and some non-linear) equations, and convergence is established for a wide range of fully non-linear models (e.g. Leray–Lions equations and degenerate parabolic equations such as the Stefan or Richards models). The GDM applies to a diverse range of methods, both classical (conforming, non-conforming, mixed finite elements, discontinuous Galerkin) and modern (mimetic finite differences, hybrid and mixed finite volume, MPFA-O finite volume), some of which can be built on very general meshes.
Partial differential equations
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Differential equations
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Mathematics
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Computer. Automation
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differentiaalvergelijkingen
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informatica
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externe fixatie (geneeskunde
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wiskunde
Book
ISBN: 9783642206719 Year: 2011 Publisher: Berlin, Heidelberg Springer Berlin Heidelberg
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Finite volume methods are used for various applications in fluid dynamics, magnetohydrodynamics, structural analysis or nuclear physics. A closer look reveals many interesting phenomena and mathematical or numerical difficulties, such as true error analysis and adaptivity, modelling of multi-phase phenomena or fitting problems, stiff terms in convection/diffusion equations and sources. To overcome existing problems and to find solution methods for future applications requires many efforts and always new developments. The goal of The International Symposium on Finite Volumes for Complex Applications VI is to bring together mathematicians, physicists and engineers dealing with Finite Volume Techniques in a wide context. This book, divided in two volumes, brings a critical look at the subject (new ideas, limits or drawbacks of methods, theoretical as well as applied topics).
Book
ISBN: 9783112314029 Year: 2020 Publisher: Berlin Boston
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Digital
ISBN: 9783112314029 9783112302750 Year: 2020 Publisher: Berlin ;; Boston De Gruyter
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