@Article{JCM-42-4, author = {Lan, Guangqiang and Yu, Jiang}, title = {Convergence of Modified Truncated Euler-Maruyama Method for Stochastic Differential Equations with Hölder Diffusion Coefficients}, journal = {Journal of Computational Mathematics}, year = {2024}, volume = {42}, number = {4}, pages = {1109--1123}, abstract = {

Convergence of modified truncated Euler-Maruyama (MTEM) method for stochastic differential equations (SDEs) with $(1/2 + α)$-Hölder continuous diffusion coefficients are investigated in this paper. We prove that the MTEM method for SDE converges to the exact solution in $L^q$ sense under given conditions. Two examples are provided to support our conclusions.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2302-m2022-0246}, url = {https://global-sci.com/article/91090/convergence-of-modified-truncated-euler-maruyama-method-for-stochastic-differential-equations-with-holder-diffusion-coefficients} }