03476nam 22006495 450 99646649490331620200703123416.01-280-39161-897866135695303-642-05134-010.1007/978-3-642-05134-0(CKB)2670000000007043(SSID)ssj0000399633(PQKBManifestationID)11286509(PQKBTitleCode)TC0000399633(PQKBWorkID)10386129(PQKB)10166786(DE-He213)978-3-642-05134-0(MiAaPQ)EBC3064868(PPN)139443339(EXLCZ)99267000000000704320100301d2010 u| 0engurnn|008mamaatxtccrLayer-Adapted Meshes for Reaction-Convection-Diffusion Problems[electronic resource] /by Torsten Linß1st ed. 2010.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2010.1 online resource (XII, 326 p.) Lecture Notes in Mathematics,0075-8434 ;1985Bibliographic Level Mode of Issuance: Monograph3-642-05133-2 3-642-05153-7 Includes bibliographical references (p. 215-222) and index.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.Lecture Notes in Mathematics,0075-8434 ;1985Numerical analysisDifferential equationsPartial differential equationsNumerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M14050Ordinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Numerical analysis.Differential equations.Partial differential equations.Numerical Analysis.Ordinary Differential Equations.Partial Differential Equations.515.35Linß Torstenauthttp://id.loc.gov/vocabulary/relators/aut506823BOOK996466494903316Layer-adapted meshes for reaction-convection-diffusion problems778811UNISA