CO906 Lecture Notes
Notes may be slightly updated as we proceed but will not change enormously from 2009-10 although we might do things in a slightly different order. I'll try to keep a note beside each chapter with the date of the status and most recent update along with a comment on the nature of any changes.
Table of Contents
- Table of Contents
- Last updated: 27-01-09
- Status:First draft
- Comments: First 4 chapters are fixed.
Chapter 1: Ordinary Differential Equations
- Chapter 1
- Last updated: 18-01-10
- Status: first draft
- Comments:
Chapter 2: Partial Differential Equations
- Chapter 2
- Last updated: 16-01-09
- Status:First draft
- Comments:
Chapter 3: Parabolic Equations
- Chapter 3
- Last updated: 19-01-09
- Status: First draft
- Comments:
Chapter 4: Hyperbolic Equations
- Chapter 4
- Last updated: 27-01-09
- Status: First draft
- Comments:
- Wave Equation Movie
Chapter 5: Spectral Methods
- Chapter 5 is conditional on making sufficient progress in the module so no notes yet.
Additional topic: Boundary Value Problems and Elliptic Equations
Here are the plots of the relaxation methods applied to the Poisson equation which we looked at in class on Tuesday:
- Global error and residual as a function of number of iterations for the Jacobi relaxation methods
- Improved rate of convergence for the Gauss-Seidel method
- Movie of the Jacobi relaxation to the solution of the problem in worksheet 2.
Bibliography
- Bibliography
- Last updated: 04-01-09
- Status: preliminary draft
- Comments: Contains only a few links for Chap 1.