DAE - Differential-Algebraic Equations WS 2011/12

Lecturer and Venue:
Lecturer: Christian Mehl
Lecture:Di 10-12 in MA 545
Do 12-14 in MA 541
There will be no Exercise Class (Übung) with this lecture.
Many physical processes are modelled via differential equations. If the system contains constraints to the state (e.g. conservation laws or that the system dynamics is on a manifold) then the mathematical model also contains algebraic equations. Such systems are called differential-algebraic systems. In this course the theory and numerics of differential- algebraic equations will be presented.
The lecture will follow the book P. Kunkel and V. Mehrmann. "Differential-Algebraic Equations: Analysis and Numerical Solution". EMS Publishing House Zürich 2006. Further literature:
  • K. E. Brenan and S. L. Campbell and L. R. Petzold. "Numerical Solution of Initial-Value Problems in Differential Algebraic Equations" 2nd Ed. SIAM, Philadelphia, 1996 .
  • E. Hairer and C. Lubich and M. Roche. "The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods" Springer-Verlag, Berlin, 1989.
  • E. Hairer and G. Wanner. "Solving Ordinary Differential Equations II" 2nd Ed. Springer-Verlag, Berlin, 1996.

Impressum Christian Mehl 11.10.2011