Numerical Methods for Hyperbolic Equations (Winter Semester 2014/15)
- Lecturer: Prof. Dr. Willy Dörfler
- Classes: Lecture (0112000), Problem class (0113000)
- Weekly hours: 3+1
Master Mathematics, Technical Mathematics, Economical Mathematics
We present basic theory for equations in conservation form and the fundamental principle to derive numerical methods. As an application we focus on compressible flow equations and Maxwell equations.
Requirements: Numerical methods for Differential Equations.
The lectures starts 21.10.
Schedule | ||
---|---|---|
Lecture: | Wednesday 11:30-13:00 | 1C-02 |
Wednesday 11:30-13:00 | SR 3.60 | |
Problem class: | Tuesday 15:45-17:15 | 1C-01 |
Tuesday 15:45-17:15 | SR 3.60 |
Lecturers | ||
---|---|---|
Lecturer, Problem classes | Prof. Dr. Willy Dörfler | |
Office hours: Tuesday, 14:30-15:30 or by appointment. | ||
Room 3.013 Kollegiengebäude Mathematik (20.30) | ||
Email: willy.doerfler at kit.edu | Problem classes | Dr. Stefan Findeisen |
Office hours: - | ||
Room 3.010 Kollegiengebäude Mathematik (20.30) | ||
Email: stefan.findeisen@kit.edu |
Content
Derivation of equations in conservation form Shocks, Rarefaction waves, weak solutions Aspects of existence and regularity theory Discretization of conservation laws with Finite Volume and Discontinuous Galerkin Methods Applications
Examination
Examination: Oral examination.
6 LP
References
J. S. Hesthaven, T. Warburton: Nodal discontinuous Galerkin methods
D. Kröner: Numerical Schemes for Conservation Laws
R. Leveque: Numerical Methods for Conservation Laws