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Videos for TATA27 (Partial Differential Equations)
- 1. Introduction.
- 2. The method of characteristics.
- 3. The physical origin of some PDEs.
- 4. The Laplace equation. The weak maximum principle. Poisson's formula (for a disk).
- 5. The Laplace equation (cont.). The mean value property. The strong maximum principle.
- 6. The Laplace equation (cont.). Dirichlet's principle. The fundamental solution.
- 7. The Laplace equation (cont.). Green's functions.
- 8. The wave equation in one dimension. (On the whole real line.)
- 9. The wave equation in one dimension (cont.). (On a half-line or finite interval.)
- 10. The wave equation in higher dimensions.
- 11. The heat equation on a bounded domain.
- 12. The heat equation on Rn.
- 13. Classification of second-order linear PDEs.
- 14. Generalized solutions.
- 15. Numerical methods.
- 16. Separation of variables in higher dimensions.
- 17. Dispersive waves and solitons.
- 18. Harmonic polynomials and spherical harmonics.
- 19. The Schrödinger equation.
Sidansvarig: Hans Lundmark
Senast uppdaterad: 2023-05-10