| |
| Previous course: C0312 |
| Offered by:
Department of Mathematical Modelling
(IMM) |
| No credit points with: C0312 |
| Prerequisite: 01246/04201 |
| Desirable: 04120 |
| Recommended semester:
4th -7th semester |
| Limitation: Max. 50 |
| Scope and form: Lectures. |
| Examination:
Evaluation of three reports
(13 point scale
) |
| Remarks: Relations to other courses: 04225 Nonlinear Partial Differential Equations, Solitons. |
| Contact person: |
Mads Peter Sørensen, IMM, Building 305, Tel. +45 4525 3094 |
|
| Aim: To show the student how to derive, analyze and solve partial differential equations from physics and engineering science. |
Contents: Analytical part: Classification of second-order partial differential equations. First-order systems. Fourier transformation of partial differential equations. The Green's function. Modelling by means of the calculus of variations.
Numerical part: The finite difference method, including stability and convergence analysis. Iterative solution of difference equations. Methods for first-order hyperbolic equations, including the method of characteristics. The finite element method. |
