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T-stability of Numerical Solutions for Linear Stochastic Differential Equations with Delay
Authors:WANG Qi Faculty of Applied Mathematics  Guangdong University of Technology  Guangzhou   Guangdong  China
Affiliation:WANG Qi Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,Guangdong,China
Abstract:In this paper, T-stability of the Euler-Maruyama method is taken into account for linear stochastic delay differential equations with multiplicative noise and constant time lag in the Under a certain condition for coefficients, T-stability of the numerical scheme is researched. Moreover, some numerical examples will be presented to support the theoretical results.
Keywords:stochastic delay differential equations  Euler-Maruyama method  numerical solution  T-stability  
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