# Lezing

**don 22 okt 2009, 10:00**

**V1, S9**

**Title:** Solving initial and boundary value problems using differential geometric techniques**Speaker:** Professor Geoff Prince, La Trobe University, Melbourne

*The jet bundle formulation of differential equations is used to express ideas of invariance of solutions of initial and boundary value problems. I show how to construct such invariant solutions from a knowledge of the symmetry group of the differential equations unconstrained by initial and boundary conditions. For example, given a system of second order ODEs on and an initial distribution of tangent vectors we look for symmetries of the resulting congruence of solutions and, in the best situation, enough of them to explicitly integrate the congruence.*