Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

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.

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