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Numerical Methods for Hyperbolic Equations (Winter Semester 2014/15)

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: Thursday, 15:45-16:30 (for changes see German page below).
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