Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems

• Main Author: Lin<U+00df>, Torsten. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Lecture Notes in Mathematics, 1985
• Subjects: Mathematics.; Differential Equations.; Differential equations, partial.; Numerical analysis.; Numerical Analysis.; Ordinary Differential Equations.; Partial Differential Equations.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-05134-0

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 lay...

Table of Contents:

• 1 Introduction
• 2 Layer-adapted meshes
• Part I One dimensional problems
• 3 The analytical behaviour of solutions
• 4 Finite difference schemes for convection-diffusion problems
• 5 Finite element and finite volume methods
• 6 Discretisations of reaction-convection-diffusion problems
• Part II Two dimensional problems
• 7 The analytical behaviour of solutions
• 8 Reaction-diffusion problems
• 9 Convection-diffusion problems.