Course MAT-81-11-K-7
Numerical Methods for PDE I (4V+2U, 9.0 LP)
Course Type
| SWS | Type | Course Form | CP (Effort) | Presence-Time / Self-Study | |
|---|---|---|---|---|---|
| - | K | Lecture with exercise classes (V/U) | 9.0 CP | 186 h | |
| 4 | V | Lecture | 56 h | ||
| 2 | U | Exercise class (in small groups) | 28 h | ||
| (4V+2U) | 9.0 CP | 84 h | 186 h | ||
Basedata
| SWS | 4V+2U |
|---|---|
| CP, Effort | 9.0 CP = 270 h |
| Position of the semester | 1 Sem. in SuSe |
| 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
Continuation of the courses [MAT-80-11A-K-4] and [MAT-80-11B-K-4]. Numerical methods that deal with elliptic and parabolic differential equations will be discussed and analytically analyzed. In particular, the following topics will be covered:
- approximation methods for elliptic problems,
- theory of weak solutions,
- consistency, stability and convergence,
- approximation methods for parabolic problems.
Literature
- D. Braess: Finite Elemente,
- A. Quarteroni, A. Valli: Numerical Approximation of PDEs,
- C. Grossmann, H.-G. Roos: Numerische Behandlung partieller Differentialgleichungen.
Materials
Further literature will be announced in the lecture; Exercise material is provided.
Registration
Registration for the exercise classes via the online administration system URM (https://urm.mathematik.uni-kl.de).
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-81-11-K-7]
| Module | Name | Context | |
|---|---|---|---|
| [MAT-81-11-M-7] | Numerical Methods for Elliptic and Parabolic PDE | P: Obligatory | 4V+2U, 9.0 LP |