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Theory and Computation of Singularly Perturbed Problems: slides and files

These slides and files are for the section of the GIAN Workshop on Theory and Computation of Singularly Perturbed Differential Equations taught by Niall Madden, at IIT (BHU), Varanasi, December 4-8, 2017.

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

Slides and files
Lecture 0	Outline of the workshop	NM	Slides
Lecture 1	Introduction to singularly perturbed problems	NM	Slides
Lecture 2	Numerical methods and uniform convergence.	NM	Slides
	Prelude to Lab 1	NM	MATLAB primer
Lab 1	FDMs on Uniform Meshes	NM	Handout	Files: FiniteDifference.m
Lecture 3	Finite difference methods and their numerical analysis.	NM	Slides
Lecture 4	Coupled systems	NM	Slides
Lab 2	Fitted mesh methods for ODEs	NM	Handout	Files: Solve_1DRD.m, Make_1D_Fitted_Mesh.m, Test_1DRD.m, u_true.m.
Lecture 5	High order numerical methods for singularly perturbed problems	SK
Lecture 6	Singularly perturbed parabolic problems in 1D	SK
Lecture 7	Regular and singular perturbation methods	LPS
Lab 3	High-order methods	SK
Lecture 8	Singularly perturbed elliptic PDEs	NM	Slides
Lecture 9	Finite Element Methods in two and three dimensions	NM	Slides Handout
Lab 4	Singularly perturbed PDEs	NM	Handout	Files: Solve_2DRD.m, Test_2DRD.m, Problem_Data.m, Make_Bakhvalov_Mesh.m. Make_Equidistribute_Mesh.m.
Lecture 10	Preconditioning for singularly perturbed problems	NM	Slides
	Details of remaining sessions to follow

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