Projection methods for stochastic differential equations with conserved quantities
Numerical Analysis
2016-03-22 v1
Abstract
In this paper, we consider the numerical methods preserving single or multiple conserved quantities, and these methods are able to reach high order of strong convergence simultaneously based on some kinds of projection methods. The mean-square convergence orders of these methods under certain conditions are given, which can reach order 1.5 or even 2 according to the supporting methods embedded in the projection step. Finally, three numerical experiments are taken into account to show the superiority of the projection methods.
Cite
@article{arxiv.1601.04157,
title = {Projection methods for stochastic differential equations with conserved quantities},
author = {Weien Zhou and Liying Zhang and Jialin Hong and Songhe Song},
journal= {arXiv preprint arXiv:1601.04157},
year = {2016}
}