Short course on Numerical Analysis of Singularly Perturbed Problems: slides and files

These slides and files are for a two-day short course on Numerical Analysis of Singularly Perturbed Differential Equations, taught by Niall Madden as part of the 2016 AARMS-CRM Workshop on Numerical Analysis of Singularly Perturbed Differential Equations July 25-29, 2016, Halifax, NS, Canada.

These are drafts of the slides. If you see plot any errors or typos, please contact Niall.

Slides and files
Section 0. Outline of the workshop Slides
Section 1. Introduction to singularly perturbed problems Slides Handout
Section 2. Numerical methods and uniform convergence; FDMs and their analysis. Slides Handout
Section 3. Coupled systems Slides Handout
Section 4. Lab 1: Singularly perturbed ODEs MATLAB primer Files: FiniteDifference.m
Handout Files: Make_1D_Fitted_Mesh.m, Solve_1DRD.m, Test_1DRD.m, u_true.m.
Solutions Files: Make_1D_CD_Mesh.m, Solve_1DCD.m, Test_1DCD.m
Section 5. PDEs (i): Time-dependent problems Slides Handout
Section 6. PDEs (ii): elliptic problems in two-dimensions Slides Handout
Section 7. Finite Element Methods Slides Handout
Section 8. Lab 2: Singularly perturbed PDEs Handout Files: Solve_2DRD.m, Test_2DRD.m, Problem_Data.m, Make_Bakhvalov_Mesh.m.