Table of Contents

Motivation for the Study of Singular Perturbation Problems; Simple Examples of Singular Perturbation Problems; Numerical Methods for Singular Perturbation Problems; Fitted Operator Methods; Simple Fitted Mesh Methods in One Dimension; Fitted Mesh Methods for Reaction-Diffusion Problems; Properties of Upwind Operators on Piecewise Uniform Meshes; Fitted Mesh Methods for Convection-Diffusion Problems; Fitted Element Methods for Convection-Diffusion Problems; Schwarz Iterative Methods in One Dimension; Convection-Diffusion Problems in Two Dimensions; Bounds on Derivatives of Solutions of Convection-Diffusion Problems; Convergence of Fitted Mesh Methods in Two Dimensions; Limitations of Fitted Operators for Parabolic Boundary Layers; Initial and Parabolic Boundary Layers.