PIMS - CSC Seminar: Alexander Bihlo

Geometric numerical integration aims to develop numerical schemes that preserve geometric properties of differential equations. Such properties can include symmetries, conservation laws, a symplectic structure or blow-up properties. In this talk I will introduce a few methods for finding discretization schemes that preserve Lie symmetries and conservation laws. Numerical examples for several differential equations with relevance in hydrodynamics, meteorology, astronomy and mathematical biology will be given.