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20082023
most citedTwo-time-scale stochastic partial differential equations driven by -stable noises: Averaging principles

80 citations · 136 across the 69 of their papers we have counts for

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5 papers · 1 filter

math.NA2023

Convergence rate in sense of tamed EM scheme for highly nonlinear neutral multiple-delay stochastic McKean-Vlasov equations

Shuaibin Gao, Qian Guo, Junhao Hu +1

This paper focuses on the numerical scheme of highly nonlinear neutral multiple-delay stohchastic McKean-Vlasov equation (NMSMVE) by virtue of the stochastic particle method. First…

math.NA2020

Strong convergence rate of the truncated Euler-Maruyama method for stochastic differential delay equations with Poisson jumps

Shuaibin Gao, Junhao Hu, Li Tan +1

In this paper, we study a class of super-linear stochastic differential delay equations with Poisson jumps (SDDEwPJs). The convergence and rate of the convergence of the truncated…

math.NA2019

Multilevel Monte Carlo theta EM scheme for SDDEs with small noise

Li Tan, Chenggui Yuan

In this paper, a multilevel Monte Carlo theta EM scheme is provided for stochastic differential delay equations with small noise. Under a global Lipschitz condition, the variance o…

math.NA2018★ 3 cited

Convergence rates of truncated EM scheme for NSDDEs

Li Tan, Chenggui Yuan

This paper is concerned with strong convergence of the truncated Euler-Maruyama scheme for neutral stochastic differential delay equations driven by Brownian motion and pure jumps…

math.NA2018★ 4 cited

A note on strong convergence of implicit scheme for SDEs under local one-sided Lipschitz conditions

Li Tan, Chenggui Yuan

Under a local one-sided Lipschitz condition, Krylov [KR] proved the existence and uniqueness of the strong solutions for stochastic differential equations by using the Euler-Maruya…