Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638973 | Journal of Computational and Applied Mathematics | 2014 | 10 Pages |
Abstract
High order splitting schemes with complex timesteps are applied to Kolmogorov backward equations stemming from stochastic differential equations in the Stratonovich form. In the setting of weighted spaces, the necessary analyticity of the split semigroups can easily be proved. A numerical example from interest rate theory, the CIR2 model, is considered. The numerical results are robust for drift-dominated problems and confirm our theoretical results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Philipp Dörsek, Eskil Hansen,