@Article{JCM-43-1194, author = {Li , XiaotongLiu , Wei and Tang , Tianjiao}, title = {Truncated Euler-Maruyama Method for Time-Changed Stochastic Differential Equations with Super-Linear State Variables and Hölder’s Continuous Time Variables}, journal = {Journal of Computational Mathematics}, year = {2025}, volume = {43}, number = {5}, pages = {1194--1218}, abstract = {
An explicit numerical method is developed for a class of non-autonomous time-changed stochastic differential equations, whose coefficients obey Hölder’s continuity in terms of the time variables and are allowed to grow super-linearly in terms of the state variables. The strong convergence of the method in the finite time interval is proved and the convergence rate is obtained. Numerical simulations are provided.
}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2411-m2022-0061}, url = {http://global-sci.org/intro/article_detail/jcm/24477.html} }