9 citations · 16 across the 7 of their papers we have counts for
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Linear implicit approximations of invariant measures of semi-linear SDEs with non-globally Lipschitz coefficients
Chenxu Pang, Xiaojie Wang, Yue Wu
This article investigates the weak approximation towards the invariant measure of semi-linear stochastic differential equations (SDEs) under non-globally Lipschitz coefficients. Fo…
An unconditional boundary and dynamics preserving scheme for the stochastic epidemic model
Ruishu Liu, Xiaojie Wang, Lei Dai
In the present article, we construct a logarithm transformation based Milstein-type method for the stochastic susceptible-infected-susceptible (SIS) epidemic model evolving in the…
Strong convergence rates for a full discretization of stochastic wave equation with nonlinear damping
Meng Cai, David Cohen, Xiaojie Wang
The paper establishes the strong convergence rates of a spatio-temporal full discretization of the stochastic wave equation with nonlinear damping in dimension one and two. We disc…
Antithetic multilevel Monte Carlo method for approximations of SDEs with non-globally Lipschitz continuous coefficients
Chenxu Pang, Xiaojie Wang
In the field of computational finance, one is commonly interested in the expected value of a financial derivative whose payoff depends on the solution of stochastic differential eq…
Weak error analysis for strong approximation schemes of SDEs with super-linear coefficients
Xiaojie Wang, Yuying Zhao, Zhongqiang Zhang
We present an error analysis of weak convergence of one-step numerical schemes for stochastic differential equations (SDEs) with super-linearly growing coefficients. Following Mils…
Strong convergence rates of a fully discrete scheme for the Cahn-Hilliard-Cook equation
Ruisheng Qi, Meng Cai, Xiaojie Wang
The first aim of this paper is to examine existence, uniqueness and regularity for the Cahn-Hilliard-Cook (CHC) equation in space dimension . By applying a spectral Galerk…