@Article{JCM-37-704, author = {Chen , Lin}, title = {Stability of the Stochastic θ-Method for Super-Linear Stochastic Differential Equations with Unbounded Delay}, journal = {Journal of Computational Mathematics}, year = {2019}, volume = {37}, number = {5}, pages = {704--720}, abstract = {

This paper deals with numerical stability properties of super-linear stochastic differential equations with unbounded delay. Sufficient conditions for mean square and almost sure decay stability of the above system and its stochastic θ-method approximation are investigated in this paper. The author establishes numerical stability under a monotone-type condition in unbounded delay setting. An example is presented to illustrate the result.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1808-m2018-0005}, url = {http://global-sci.org/intro/article_detail/jcm/13042.html} }