Module Handbook

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Course MAT-81-37-K-7

High-Order Methods for Hyperbolic Equations (2V, 4.5 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
2 V Lecture 4.5 CP 28 h 107 h
(2V) 4.5 CP 28 h 107 h


CP, Effort 4.5 CP = 135 h
Position of the semester 1 Sem. irreg.
Level [7] Master (Advanced)
Language [EN] English
+ further Lecturers of the department Mathematics
Area of study [MAT-TEMA] Industrial Mathematics
Additional informations
Livecycle-State [NORM] Active


The mathematical concepts for the numerical treatment of systems of hyperbolic conservation equations with high order of approximation in place and time are described and investigated. In particular, the following contents are discussed:
  • discontinuous Galerkin method,
  • ADER method (incl. WENO reconstruction),
  • strong stability preserving (SSP) time stepping.


  • J. S. Hesthaven, T. Warburton: Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications,
  • B. Cockburn: An Introduction to the Discontinuous Galerkin Method for Convection-Dominated Problems,
  • E. Toro: Riemann Solvers and Numerical Methods for Fluid Dynamics,
  • S. Gottlieb: On High Order Strong Stability Preserving Runge–Kutta and Multi Step Time Discretizations.


Further literature will be announced in the lecture.

Requirements for attendance (informal)

Knowledge from the module [MAT-81-12-M-7] is desirable.


Requirements for attendance (formal)


References to Course [MAT-81-37-K-7]

Module Name Context
[MAT-81-37-M-7] High-Order Methods for Hyperbolic Equations P: Obligatory 2V, 4.5 LP