Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

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).

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