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math.NA2021★ 1 cited
Explicit numerical approximation for logistic models with regime switching in finite and infinite horizons
Xiaoyue Li, Hongfu Yang
The stochastic logistic model with regime switching is an important model in the ecosystem. While analytic solution to this model is positive, current numerical methods are unable…
math.NA2020
The Strong Convergence and Stability of Explicit Approximations for Nonlinear Stochastic Delay Differential Equations
Guoting Song, Junhao Hu, Shuaibin Gao +1
This paper focuses on explicit approximations for nonlinear stochastic delay differential equations (SDDEs). Under the weakly local Lipschitz and some suitable conditions, a generi…
math.NA2020★ 1 cited
Strong convergence and asymptotic stability of explicit numerical schemes for nonlinear stochastic differential equations
Xiaoyue Li, Xuerong Mao, Hongfu Yang
In this article we introduce several kinds of easily implementable explicit schemes, which are amenable to Khasminski's techniques and are particularly suitable for highly nonlinea…