Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems [electronic resource] / by Torsten Linß.
Material type: TextSeries: Lecture Notes in Mathematics ; 1985Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010Description: online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783642051340Subject(s): Mathematics | Differential Equations | Differential equations, partial | Numerical analysis | Mathematics | Numerical Analysis | Ordinary Differential Equations | Partial Differential EquationsAdditional physical formats: Printed edition:: No titleDDC classification: 518 LOC classification: QA297-299.4Online resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK1928 |
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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