| |
| Previous course: C0211 |
| Offered by:
Department of Mathematical Modelling
(IMM) |
| No credit points with: C1743/10231/C0211/01248 |
| Prerequisite: 04110/C0201/04010/C0205/C6908 |
| Recommended semester:
4th -7th semester |
| Limitation: Max. 50 |
| Scope and form: 2 weekly modules with lectures and problem solving using computers. |
| Examination:
Approval of compulsory activities is a prereqisite for evaluation of report. Report.
(13 point scale
) |
| Contact person: |
Per Grove Thomsen, IMM, Building 305, Tel. +45 4525 3073 |
|
| Aim: Introduction of numerical methods as tools for analyzing nonlinear dynamical systems. These tools are based on methods for solving initial value problems for ordinary differential equations. The participants are made familiar with the numerical tools through practical exercises. |
| Contents: Theory for numerical methods for solving initial value problems. Multi-step and one-step methods. Accuracy, order and stability. Explicit and implicit methods and their implementation. Treatment of large, stiff systems of differenital equations. Visualization of properties of dynamical systems, phase plane, Poincare sections and iterated maps. Design of software for dynamical analysis. Real-time simulators. The assignments are based on practical apllications. A number of lectures will be given by guests. |
