|
Instructors: Prof. Dr. techn. Herbert Egger; M.Sc. Axel Ariaan Lukassen
Event type:
Lecture & Exercise
Org-unit: Dept. 04 - Mathematics
Displayed in timetable as:
Num. Treat. Diff.-Alg. Eq.
Subject:
Crediting for:
Hours per week:
6
Language of instruction:
German and English
Min. | Max. participants:
- | -
Course Contents:
Applications löeading to differential algebraic equations, e.g., reaction kinetics, electrical circuits, multi body system.
Solvability for linear systems, Kronecker Normal form, differentiation index, perturbation index
Hessenberg-index-1 systems, well-posedness, construction and analysis of one- and multistep methods.
Selected problems with higher index, well-posedness, numerical methods, index reduction techniques.
Application of theoretical results for example problems.
Literature:
K. Strehmel. R. Weiner, H. Podhaisky: Numerik gewöhnlicher Differentialgleichungen.
E. Hairer, G. Wanner: Solving Ordinary Differential Equations II.
K. E. Brenan, S.L. Campbell, L.R.Petold: Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations.
Preconditions:
Numerik gewöhnlicher Differentialgleichungen erwünscht.
Expected Number of Participants:
30
Online Offerings:
moodle
|
