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.
 
Contents:
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.
 
Material:
 
Literatur:
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