Diploma and Master Theses (authored and supervised):
"Splitting-Verfahren für nichtlineare Evolutionsgleichungen";
Supervisor: W. Auzinger;
Institut für Analysis und Scientific Computing,
final examination: 2018.
This thesis motivates and summarizes the construction of splitting schemes
for evolution equations. Further asymptotic correct local error estimators are proposed,
to adapt the step-size in time propagation and reduce total computation
time. Commutator free Magnus-type integrators are compared to splitting off the
time variable. The Methods are tested by three applications: Models for solar
cells, reaction-diffusion system by Gray-Scott and Schrödinger wave equations.
Evolution equations, splitting methods, order conditions, local error estimators, commutator free Magnus integrators
Created from the Publication Database of the Vienna University of Technology.