@Article{IJNAM-5-673, author = {W. Zhao, L. Tian and L. Ju}, title = {Convergence Analysis of a Splitting Method for Stochastic Differential Equations}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2008}, volume = {5}, number = {4}, pages = {673--692}, abstract = {

In this paper, we propose a fully drift-implicit splitting numerical scheme for the stochastic differential equations driven by the standard $d$-dimensional Brownian motion. We prove that its strong convergence rate is of the same order as the standard Euler-Maruyama method. Some numerical experiments are also carried out to demonstrate this property. This scheme allows us to use the latest information inside each iteration in the Euler-Maruyama method so that better approximate solutions could be obtained than the standard approach.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/832.html} }