Splitting up method for 2D stochastic primitive equations with multiplicative noise
Probability
2019-07-09 v2
Abstract
This paper concerns the convergence of an iterative scheme for 2D stochastic primitive equations on a bounded domain. The stochastic system is split into two equations: a deterministic 2D primitive equations with random initial value and a linear stochastic parabolic equation, which are both simpler for numerical computations. An estimate of approximation error is given, which implies that the strong speed rate of the convergence in probability is almost .
Cite
@article{arxiv.1711.08538,
title = {Splitting up method for 2D stochastic primitive equations with multiplicative noise},
author = {Xuhui Peng and Rangrang Zhang},
journal= {arXiv preprint arXiv:1711.08538},
year = {2019}
}