After successful completion of the course, students are able to check if the numerical solution of an ordinary differential equation makes sense. Furthermore, depending on the inherent structure of the differential equation, students are able to select the appropriate numerical integrator.

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.

Solution of exercise problems, possibly including numerical implementation; discussion of students' solutions in small exercise groups.

Lectures: Mondays and Wednesdays 10:00 - 12:00 (first lecture on March 8th) on Zoom (see TUWEL).

Exercise sessions: Fridays 14:00 - 16:00 (first session on March 19th) on Zoom (see TUWEL)

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.