Course MAT-81-12-K-7
Numerical Methods for PDE II (4V, 9.0 LP)
Course Type
| SWS | Type | Course Form | CP (Effort) | Presence-Time / Self-Study | |
|---|---|---|---|---|---|
| 4 | V | Lecture | 9.0 CP | 56 h | 214 h |
| (4V) | 9.0 CP | 56 h | 214 h | ||
Basedata
| SWS | 4V |
|---|---|
| CP, Effort | 9.0 CP = 270 h |
| Position of the semester | 1 Sem. in WiSe |
| Level | [7] Master (Advanced) |
| Language | [EN] English |
| Lecturers |
+ further Lecturers of the department Mathematics
|
| Area of study | [MAT-TEMA] Industrial Mathematics |
| Livecycle-State | [NORM] Active |
Contents
Numerical methods which deal with hyperbolic differential equations will be discussed and analytically analyzed. In particular, the following topics are covered:
- approximation methods for hyperbolic problems,
- theory of weak solutions and entropy solutions,
- consistency, stability and convergence,
- (if possible) approximation methods for systems of conservation equations.
Literature
- E.F. Toro: Riemann Solvers and Numerical Methods for Fluid Dynamics,
- R. LeVeque: Finite Volume Methods for Hyperbolic Problems,
- E. Godlewski, P.-A. Raviart: Numerical Approximations of Hyperbolic Systems of Conservation Laws.
Materials
Further literature will be announced in the lecture; Exercise material is provided.
Requirements for attendance (informal)
Modules:
- [MAT-10-1-M-2] Fundamentals of Mathematics (M, 28.0 LP)
- [MAT-80-11A-M-4] Numerics of ODE (M, 4.5 LP)
- [MAT-80-11B-M-4] Introduction to PDE (M, 4.5 LP)
Requirements for attendance (formal)
None
References to Course [MAT-81-12-K-7]
| Module | Name | Context | |
|---|---|---|---|
| [MAT-81-12-M-7] | Numerical Methods for Hyperbolic PDE | P: Obligatory | 4V, 9.0 LP |