| Théorie | Exercices | Exercices conseillés | |
| Ven 22/09 | Introduction (slides) [Strauss § 1.1-1.4] | - | - |
| Ven 29/09 | Well-posed problems and PDE classification (slides) [Strauss § 1.5-1.6] | § 1 [1.1, 1.2, 1.4, 1.7] | § 1 [1.3, 1.5] |
| Ven 06/10 | The wave equation (slides) [Strauss § 2.1, 2.2] | § 6 [6.2, 6.6] | § 6 [6.5], Jan2021 E3, Sep2021 E3 |
| Ven 13/10 | The diffusion equation (slides) [Strauss § 2.3]; Approximations of diffusions (slides) [Strauss § 8.1-8.2] | - | - |
| Ven 20/10 | Von Neumann stability analysis (slides); Approximation of waves (slides) [Strauss § 8.3] | § 2 [2.1(a,b), 2.4, 2.10, 2.11] | § 2 [2.1(c), 2.7, 2.12] |
| Ven 27/10 | Diffusion on the whole line (slides) [Strauss § 2.4, 2.5] | § 3 [3.1(a,b,c,d), 3.6, 3.7] | § 3 [3.1(e, f), 3.4, 3.5] |
| Ven 10/11 | Boundary problems (slides) [Strauss § 4.1, 4.2] | § 4 [4.1, 4.3, 4.4, 4.5(a)] | § 4 [4.2, 4.5(c)] |
| Ven 17/11 | Laplace's equation (slides) [Strauss § 6.1, 6.2, 6.3] | § 4 [4.6, 4.7, 4.8, 4.9] | Jan2020 Question I, Jan2021 E2, Jan2022 E2 |
| Ven 24/11 | Nonlinear PDEs (slides) [Strauss § 14.1, part of 12.1] | § 5 [5.1(a,b,c), 5.4, 5.5] | § 5 [5.1(d,e,f), 5.2, 5.3] |
| Ven 01/12 | Approximations of Laplace's equation and finite elements (slides) [Strauss § 8.4, 8.5] | § 5 [5.7(a,b), 5.8] | Jan2020 Question II, Jan2021 E1, Sep2021 E1, Jan2022 E3, Jan2023 E2 (1) |
| Ven 08/12 | Krylov subspace methods: Conjugate Gradients (slides) [T&B § 32, 38 ,40] | § 6 [6.1, 6.3, 6.4] | Jan2020 Question III |
| Ven 15/12 | Singular value decomposition (slides, slides) [T&B § 4, 5], | § 7 [7.1 (a,b,c), 7.3] | § 7 [7.1 (d, e), 7.2] |