Schedule
This schedule is final and isthe curriculum of TMA4212.
RLV = Randall J. LeVeque's book on finite differences
N = Note by Brynjulf Owren
| Week | Date | RLV | N | Subject |
|---|---|---|---|---|
| 2 | 13.01 and 14.01 | Appendix E, A, C, ch. 1 | chapter 1 and 2. | Introduction to PDEs, background material, difference operators |
| 3 | 18.01, 20.01 and 21.01 | Appendix A.4. ch.2 :2.1,2.9,2.10,2.12,2.13 | chapter 1 and 2 | Difference formulae, boundary value problems. |
| 4 | 25.01, 27.01 and 28.01 | 2.15,2.16. Ch.9.1–9.2 | 3.1-3.3 chapter 3. | Boundary value problems. Parabolic problems. |
| 5 | 01.02, 03.02 and 04.02 | 9.5,9.6, 9.7–9.9. | 3.3–3.5 and 4.1–4.4, 4.6. chapter 4. | Parabolic problems. |
| 6 | 08.02, 10.02 and 11.02 | 3.1, 3.2, 3.4. | 4.6, 4.8–4.9, 5 | Parabolic problems. Elliptic equations. |
| 7 | 15.02, 17.02 and 18.02 | 3 | chapter 5. | Elliptic equations. |
| 8 | 22.02, 24.02 and 25.02 | 10.1–10.6. | 7.1–7.4. | Advection equations and hyperbolic systems. |
| 9 | 03.03 and 04.03 | Project work. No lectures. | ||
| 10 | 10.03 and 11.03 | 10.7–10.13. | 7.4–7.7 | Advection equations and hyperbolic systems. Dissipation and dispersion. |
| 11 | 17.03 and 18.03 | Numerical solution of linear systems. Supervision of the project work. | ||
| 12 | 24.03 and 25.03 | |||
| 14 | 07.04 and 08.04 | Supervision of the project work. | ||
| 15 | 14.04 and 15.04 | bakground material. FEM 1. | Finite element method: Rayleigh–Ritz and Galerkin principles and methods. | |
| 16 | 21.04 and 22.04 | FEM 2D. Error analysis. | Finite element method: Error analysis and extension to 2D elliptic PDEs. | |
| 17 | 04.05 | Poster presentation. |