Geometrische Numerische Verfahren für gewöhnliche Differentialgleichungen

What it is about

You learn fundamental techniques of geometric (structure-preserving) numerics for ordinary differential equations. In the end you recognize geometric structures in ODEs, know modern integrators that preserve these structures, and can select and implement appropriate procedures.

What you will be able to do

• Geometric structures in ODEs recognize
• Overview of structure-preserving numerical integrators
• Appropriate methods select and implement
• Conservation properties mathematically prove (directly, discrete Noether theory or backward error analysis)

What the module consists of

• VorlesungDelivery of theoretical foundations and methods
• ÜbungDeepening through examples and computational tasks
• Übungsaufgaben zum SelbststudiumIndependent practice and application of the methods

Teaching method

• VorlesungIntroduction to theory and methods
• ÜbungApplication and practice of the concepts
• Übungsaufgaben zum SelbststudiumIndependent consolidation of the material