After successful completion of the course, students are able to check if the numerical solution of an ordinary differential equation makes sense. Moreover, depending on th inherent structure of the differential equation, they know what integrator should be chosen.

Initial- and boundary value problems for ordinary and partial differential equations: One-step and multi-step methods, adaptivity, structure perserving integrators. Introduction to numerical methods for partial differential equations.

Solving and implementing exercise problems, presentation and discussion of the own solutions in small exercise groups.

We will try to find appropriate lecture times in the first lecture.

Oral examination (30 minutes)

Lecture notes are provided via the TISS system.

Grundvorlesungen Analysis, Lineare Algebra und Numerische Mathematik A/B. Kenntnisse über gewöhnliche Differentialgleichungen sind vorteilhaft aber nicht notwendig.