| Recommended semester: 7th - 9th semester |
| Scope and form: Lectures and project work using computers. |
Evaluation: Approval of coursework/reports
3 reports. |
| Examination: 13-scale |
| Previous course: 04411 + 04426 |
| Prerequisites: Differential equations, basic nonlinear dynamics. |
Aim: To provide advanced methods for the analytical and numerical solution of linear and non-linear partial differential equations in physics and
technical sciences. |
Contents: Non-linear stability, conjugate gradients, discontinuities, coupling
between discrete and continuous systems, spectral methods, Fourier transforms, Riemann invariants in the method of characteristics, perturbation theory for non-linear partial differential equations, modulational instabilities in nonlinear systems, stochastic differential equations. Case studies: Navier-Stokes equations, quadratic non-linearities. |
| Remarks: Textbook: Lecture notes. |
| Contact: Mads Peter Sørensen, building 305, (+45) 4525 3094, mps@imm.dtu.dk |
| Department: 002 Informatics and Mathematical Modelling |
| Course URL: http://www.imm.dtu.dk/courses/02687 |
| Keywords: Spectral methods, finite elements, Navier-Stokes equations, perturbation theory, stochastic differential equations |
| Updated: 17-04-2001 |
