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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| Glavni autori: | , , |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Izdanje: | Version électronique de la secconde édition. |
| Serija: | Springer Series in Computational Mathematics
24 |
| Teme: | |
| Online pristup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Bilješka: |
L'impression du document génère 596 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Robust numerical methods for singularly perturbed differential equations, convection-diffusion-reaction and flow problems, Hans-Gorg Roos, Martin Stynes, Lutz Tobiska, 2008, Berlin, Springer, 1 vol. (XIV- 604 p.), Springer series in computational mechanics, 978-3-540-34466-7 |
Sadržaj:
- 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