101.247 Seminar with seminar-report (Partial Differential Equations)
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2023S, SE, 2.0h, 3.0EC


  • Semester hours: 2.0
  • Credits: 3.0
  • Type: SE Seminar
  • Format: Presence

Learning outcomes

After successful completion of the course, students are able to understand the basic analytic and numerical structures of hyperbolic conservation laws. Also, they can give a presentation about this topic and to write a seminar paper.

Subject of course

1. scalar conservation laws 2. linear hyperbolic systems, examples of nonlinear systems 3. shock and rarefaction waves, contact discontinuities 4. numerical methods for linear equations 5. computing discontinuous solutions 6. conservative methods for nonlinear problems 7. Godunov-scheme 8. appropriate Riemann solvers 9. nonlinear stability 10.high resolution methods 11.kinetic schemes for hyperbolic conservation laws 12.boundary conditions

Teaching methods

presentation by the participating students (blackboard or beamer),

discussion of the weekly seminar by the whole "class",

write-up of a seminar paper

Mode of examination

Written and oral

Additional information

 second organizational meeting on Thursday, 16.3., 15:00 in Sem.R. DA grün 06B


Please consider the plagiarism guidelines of TU Wien when writing your seminar paper: Directive concerning the handling of plagiarism (PDF)



Examination modalities

good oral presentation, written seminar report, regular participation


Course registration

Not necessary


Study CodeObligationSemesterPrecon.Info
033 201 Technical Mathematics Mandatory5. SemesterSTEOP
Course requires the completion of the introductory and orientation phase


* lecture notes of C. Schmeiser * Randall J. LeVeque: Numerical Methods for Conservation Laws, Birkhäuser, 1990 * R.J. Leveque, Finite Volume Methods for Hyperbolic Problems, Cambridge University Press, 2002

Previous knowledge

numerical analysis, differential equations.

Particularly suited for bachelor students in the 5th and 6th semester. Knowledge of the method of characteristics from "partial differential equations" is helpful, but it is not required.


if required in English