Description |
1 online resource (xi, 320 pages) : illustrations |
Series |
Lecture notes in mathematics, 0075-8434 ; 1985 |
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Lecture notes in mathematics (Springer-Verlag) ; 1985
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Contents |
Layer-adapted meshes -- One dimensional problems. The analytical behaviour of solutions -- Finite difference schemes for convection-diffusion problems -- Finite element ad finite volume methods -- Discretisations of reaction-convection-diffusion problems -- Two dimensional problems. The analytical behaviour of solutions -- Reaction-diffusion problems -- Convection-diffusion problems -- Conclusions and outlook |
Summary |
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 |
Bibliography |
Includes bibliographical references (pages 311-318) and index |
Notes |
Print version record |
Subject |
Reaction-diffusion equations.
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Finite volume method.
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Ecuaciones de reacción-difusión
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Finite volume method
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Reaction-diffusion equations
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Form |
Electronic book
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ISBN |
9783642051340 |
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3642051340 |
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