Search Results - "Song, Guoting"

Explicit Approximation of Invariant Measure for Stochastic Delay Differential Equations with the Nonlinear Diffusion Term by Li, Xiaoyue, Mao, Xuerong, Song, Guoting

“…To our knowledge, existing measure approximation theory requires the diffusion term of the stochastic delay differential equations (SDDEs) to be globally…”
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The strong convergence and stability of explicit approximations for nonlinear stochastic delay differential equations by Song, Guoting, Hu, Junhao, Gao, Shuaibin, Li, Xiaoyue

“…This paper focuses on explicit approximations for nonlinear stochastic delay differential equations (SDDEs). Under less restrictive conditions, the truncated…”
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An explicit approximation for super-linear stochastic functional differential equations by Li, Xiaoyue, Mao, Xuerong, Song, Guoting

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Hybrid stochastic functional differential equations with infinite delay: Approximations and numerics by Li, Guozhen, Li, Xiaoyue, Mao, Xuerong, Song, Guoting

“…This paper is to investigate if the solution of a hybrid stochastic functional differential equation (SFDE) with infinite delay can be approximated by the…”
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Explicit approximation of the invariant measure for SDDEs with the nonlinear diffusion term by Xiaoyue, Li, Xuerong, Mao, guoting, Song

“…To our knowledge, the existing measure approximation theory requires the diffusion term of the stochastic delay differential equations (SDDEs) to be globally…”
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An explicit approximation for super-linear stochastic functional differential equations by Li, Xiaoyue, Mao, Xuerong, Song, Guoting

“…Since it is difficult to implement implicit schemes on the infinite-dimensional space, we aim to develop the explicit numerical method for approximating…”
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Longtime behaviors of $\theta$-Euler-Maruyama method for stochastic functional differential equations by Chen, Chuchu, Dang, Tonghe, Hong, Jialin, Song, Guoting

“…This paper investigates longtime behaviors of the $\theta$-Euler-Maruyama method for the stochastic functional differential equation with superlinearly growing…”
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Probabilistic limit behaviors of numerical discretizations for time-homogeneous Markov processes by Chen, Chuchu, Dang, Tonghe, Hong, Jialin, Song, Guoting

“…In order to give quantitative estimates for approximating the ergodic limit, we investigate probabilistic limit behaviors of time-averaging estimators of…”
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The Strong Convergence and Stability of Explicit Approximations for Nonlinear Stochastic Delay Differential Equations by Song, Guoting, Hu, Junhao, Gao, Shuaibin, Li, Xiaoyue

“…This paper focuses on explicit approximations for nonlinear stochastic delay differential equations (SDDEs). Under the weakly local Lipschitz and some suitable…”
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Dynamical Behaviors of the Tumor-immune System in a Stochastic Environment by Li, Xiaoyue, Song, Guoting, Xia, Yang, Yuan, Chenggui

“…This paper investigates dynamic behaviors of the tumor-immune system perturbed by environmental noise. The model describes the response of the cytotoxic T…”
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