Modellierung und Simulation mit gewöhnlichen Differentialgleichungen

What it is about

You learn how to formulate, analyze and numerically solve initial value problems for ordinary differential equations. In the end you can assess solution properties, select appropriate analytical and numerical methods (e.g., Runge–Kutta, BDF) and visually parameterize simulation results.

What you will be able to do

• Understanding existence, uniqueness and stability for initial value problems
• Knowledge of classical numerical methods (e.g., Runge–Kutta, BDF)
• Recognition and handling of stiff differential equations (A-stability)
• Mathematical modeling of technical problem settings
• Numerical simulation and parametric visualization of solutions

What the module consists of

• VorlesungTransmission of the theoretical foundations and methods
• ÜbungDeepening and application of the lecture content to practical problems with numerical experiments

Teaching method

• FrontalunterrichtIntroduction and explanation of the methods in the lecture
• Arbeitsunterricht in ÜbungenIndependent solving of practice-oriented tasks with tutor support; numerical implementation in MATLAB (possibly Simulink)