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. |