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Robust Numerical Methods for Singularly Perturbed Differential Equations Convection-Diffusion-Reaction and Flow Problems /

This considerably extended and completely revised second edition incorporates many new developments in the thriving field of numerical methods for singularly perturbed differential equations. It provides a thorough foundation for the numerical analysis and solution of these problems, which model man...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Roos, Hans-Görg (Autor), Stynes, Martin (Autor), Tobiska, Lutz (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Edición:2nd ed. 2008.
Colección:Springer Series in Computational Mathematics, 24
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Robust Numerical Methods for Singularly Perturbed Differential Equations  |h [electronic resource] :  |b Convection-Diffusion-Reaction and Flow Problems /  |c by Hans-Görg Roos, Martin Stynes, Lutz Tobiska. 
250 |a 2nd ed. 2008. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2008. 
300 |a XIV, 604 p. 41 illus.  |b online resource. 
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490 1 |a Springer Series in Computational Mathematics,  |x 2198-3712 ;  |v 24 
505 0 |a Ordinary Differential Equations -- The Analytical Behaviour of Solutions -- Numerical Methods for Second-Order Boundary Value Problems -- Parabolic Initial-Boundary Value Problems in One Space Dimension -- Analytical Behaviour of Solutions -- Finite Difference Methods -- Finite Element Methods -- Two Adaptive Methods -- Elliptic and Parabolic Problems in Several Space Dimensions -- Analytical Behaviour of Solutions -- Finite Difference Methods -- Finite Element Methods -- Time-Dependent Problems -- The Incompressible Navier-Stokes Equations -- Existence and Uniqueness Results -- Upwind Finite Element Method -- Higher-Order Methods of Streamline Diffusion Type -- Local Projection Stabilization for Equal-Order Interpolation -- Local Projection Method for Inf-Sup Stable Elements -- Mass Conservation for Coupled Flow-Transport Problems -- Adaptive Error Control. 
520 |a This considerably extended and completely revised second edition incorporates many new developments in the thriving field of numerical methods for singularly perturbed differential equations. It provides a thorough foundation for the numerical analysis and solution of these problems, which model many physical phenomena whose solutions exhibit layers. The book focuses on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics. It offers a comprehensive overview of suitable numerical methods while emphasizing those with realistic error estimates. The book should be useful for scientists requiring effective numerical methods for singularly perturbed differential equations. 
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650 2 4 |a Biostatistics. 
650 2 4 |a Theoretical Chemistry. 
700 1 |a Stynes, Martin.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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830 0 |a Springer Series in Computational Mathematics,  |x 2198-3712 ;  |v 24 
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