Robust Numerical Methods for Singularly Perturbed Differential Equations [electronic resource] : Convection-Diffusion-Reaction and Flow Problems / by Hans-Gȵrg Roos, Martin Stynes, Lutz Tobiska.
Tipo de material: TextoSeries Springer Series in Computational Mathematics ; 24 | Springer Series in Computational Mathematics ; 24Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008Edición: 2Descripción: XIV, 604 p. 41 illus. online resourceTipo de contenido:- text
- computer
- online resource
- 9783540344674
- SpringerLink (Online service)
- Mathematics
- Chemistry
- Biology -- Mathematics
- Numerical analysis
- Mathematical physics
- Statistics
- Engineering mathematics
- Mathematics
- Numerical Analysis
- Appl.Mathematics/Computational Methods of Engineering
- Mathematical Biology in General
- Statistics for Life Sciences, Medicine, Health Sciences
- Theoretical and Computational Chemistry
- Mathematical Methods in Physics
- 518 23
- QA297-299.4
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.
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.
ZDB-2-SMA
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