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

• Main Authors: Roos, Hans-Görg (Author), Stynes, Martin (Author), Tobiska, Lutz (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Edition: 2.
• Series: Springer Series in Computational Mathematics, 24
• Subjects: Mathematics.; Chemistry, Physical and theoretical.; Mathematical analysis.; Analysis (Mathematics).; Numerical analysis.; Biomathematics.; Statistics.; Applied mathematics.; Engineering mathematics.; Numerical Analysis.; Appl.Mathematics/Computational Methods of Engineering.; Analysis.; Mathematical and Computational Biology.; Statistics for Life Sciences, Medicine, Health Sciences.; Theoretical and Computational Chemistry.

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...

Table of Contents:

• 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.