TY - BOOK AU - Linß,Torsten ED - SpringerLink (Online service) TI - Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems T2 - Lecture Notes in Mathematics, SN - 9783642051340 AV - QA297-299.4 U1 - 518 23 PY - 2010/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Differential Equations KW - Differential equations, partial KW - Numerical analysis KW - Numerical Analysis KW - Ordinary Differential Equations KW - Partial Differential Equations N1 - 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 N2 - 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 UR - http://dx.doi.org/10.1007/978-3-642-05134-0 ER -