SEMINAIRE D'ANALYSE NUMERIQUE
Année universitaire 2007-2008
Jeudi 12 juin 2008 :
Alexander OSTERMANN
(Innsbruck)
Convergence of exponential splitting methods.
In this talk, we are concerned with splitting methods
for the time integration of abstract evolution equations.
We introduce an analytic framework that allows to prove
optimal convergence orders for various schemes. As the
main result, we will show that the non-stiff order
conditions are sufficient to prove the optimal convergence
orders for exponential splitting methods in the stiff case.