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20082020
most citedA note on strong convergence of implicit scheme for SDEs under local one-sided Lipschitz conditions

4 citations · 8 across the 7 of their papers we have counts for

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7 papers

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…

math.PR2017

Convergence rates of theta-method for neutral SDDEs under non-globally Lipschitz continuous coefficients

Li Tan, Chenggui Yuan

This paper is concerned with strong convergence and almost sure convergence for neutral stochastic differential delay equations under non-globally Lipschitz continuous coefficients…

math.PR2016★ 1 cited

Strong convergence of tamed -EM scheme for neutral SDDEs with one-sided Lipschitz drift

Li Tan, Chenggui Yuan

This paper is concerned with strong convergence of a tamed -Euler-Maruyama scheme for neutral stochastic differential delay equations with superlinearly growing coefficients. We…