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Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems [electronic resource] /by Torsten Linß.

by Linß, Torsten [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes in Mathematics: 1985Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.Description: online resource.ISBN: 9783642051340.Subject(s): Mathematics | Differential Equations | Differential equations, partial | Numerical analysis | Mathematics | Numerical Analysis | Ordinary Differential Equations | Partial Differential EquationsDDC classification: 518 Online resources: Click here to access online
Contents:
One dimensional problems -- The Analytical Behaviour of Solutions -- Finite Difference Schemes for Convection-Diffusion Problems -- Finite Element and Finite Volume Methods -- Discretisations of Reaction-Convection-Diffusion Problems -- Layer-Adapted Meshes -- Two dimensional problems -- The Analytical Behaviour of Solutions -- Reaction-Diffusion Problems -- Convection-Diffusion Problems.
In: Springer eBooksSummary: This book on numerical methods for singular perturbation problems - in particular, stationary reaction-convection-diffusion problems exhibiting layer behaviour is devoted to the construction and analysis of layer-adapted meshes underlying these numerical methods. A classification and a survey of layer-adapted meshes for reaction-convection-diffusion problems are included. This structured and comprehensive account of current ideas in the numerical analysis for various methods on layer-adapted meshes is addressed to researchers in finite element theory and perturbation problems. Finite differences, finite elements and finite volumes are all covered.
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One dimensional problems -- The Analytical Behaviour of Solutions -- Finite Difference Schemes for Convection-Diffusion Problems -- Finite Element and Finite Volume Methods -- Discretisations of Reaction-Convection-Diffusion Problems -- Layer-Adapted Meshes -- Two dimensional problems -- The Analytical Behaviour of Solutions -- Reaction-Diffusion Problems -- Convection-Diffusion Problems.

This book on numerical methods for singular perturbation problems - in particular, stationary reaction-convection-diffusion problems exhibiting layer behaviour is devoted to the construction and analysis of layer-adapted meshes underlying these numerical methods. A classification and a survey of layer-adapted meshes for reaction-convection-diffusion problems are included. This structured and comprehensive account of current ideas in the numerical analysis for various methods on layer-adapted meshes is addressed to researchers in finite element theory and perturbation problems. Finite differences, finite elements and finite volumes are all covered.

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