Aim
Simulation technique is a field which merges experience in modelling with knowledge in Scientific Computing and programming skills. The aim of the course is to give students in the last stage of their university studies the possibility to experience, in a working team, industrially relevant computational problems in connection with modelling of complex mechanical systems. The participants meet numerical methods on different levels in industrial simulation tools. In particular ordinary differential equations with and without algebraic constraints and methods for large systems of nonlinear equations will form the numerical backbone of the course.

Knowledge and understanding
For a passing grade the student must

- be able to evaluate simulation results.

Skills and abilities
For a passing grade the student must

Judgement and approach
For a passing grade the student must

- write an algorithmically well structured report in suitable terminology on the mathematical methods applied in industrial simulation tools.

Contents
Theoretical part: numerical treatment of ordinary differential equations with discontinuities and/or algebraic constraints, variants of different modelling techniques, variational integrators and other modelling related methods. Introduction to a modelling language.

Practical part: numerical experiments with computational tools within commercial and industrial software packages, e.g. MSC ADAMS and ABACUS. Experiments with selfproduced code in MATLAB or Python/SciPy.

Literature
Relevant material (from scientific journals and webbased user manuals) will be distributed at the beginning of the course.