Wanrong Cao

36 papers Journal 36
YearRankTypeTitle / Venue / Authors
2026 J jnl
Finite Difference Method for Stochastic Cahn-Hilliard Equation Driven by A Fractional Brownian Sheet.
CoRR
Nan Deng, Wanrong Cao
2026 J jnl
Numerical approximations of stochastic time-fractional Burgers equations with fractional Guassian noise.
Commun. Nonlinear Sci. Numer. Simul.
Jiaqin He, Yibo Wang, Wanrong Cao
2025 J jnl
Ergodicity and invariant measure approximation of the stochastic Cahn-Hilliard equation via an explicit fully discrete scheme.
CoRR
Nan Deng, Yibo Wang, Wanrong Cao
2025 J jnl
Spectral Galerkin Method for Optimal Control of Stochastic Fractional Laplacian Equations with White Noise on a Disk.
SIAM J. Control. Optim.
Shengyue Li, Wanrong Cao
2025 J jnl
Strong convergence of a fully discrete scheme for stochastic Burgers equation with fractional-type noise.
Adv. Comput. Math.
Yibo Wang, Wanrong Cao
2025 J jnl
Weak convergence of the split-step backward Euler method for stochastic delay integro-differential equations.
Math. Comput. Simul.
Yan Li, Qiuhong Xu, Wanrong Cao
2024 J jnl
Approximation of the invariant measure for stochastic Allen-Cahn equation via an explicit fully discrete scheme.
CoRR
Yibo Wang, Wanrong Cao
2024 J jnl
Exponential integrator for stochastic strongly damped wave equation based on the Wong-Zakai approximation.
J. Comput. Appl. Math.
Yibo Wang, Wanrong Cao
2024 J jnl
On strong convergence of two numerical methods for singular initial value problems with multiplicative white noise.
J. Comput. Appl. Math.
Nan Deng, Wanrong Cao
2024 J jnl
Strong 1.5 order scheme for fractional Langevin equation based on spectral approximation of white noise.
Numer. Algorithms
Yibo Wang, Wanrong Cao
2024 J jnl
Strong convergence of a fully discrete scheme for stochastic Burgers equation with fractional-type noise.
CoRR
Yibo Wang, Wanrong Cao
2024 J jnl
Strong convergence of an explicit full-discrete scheme for stochastic Burgers-Huxley equation.
CoRR
Yibo Wang, Wanrong Cao, Yanzhao Cao
2023 J jnl
A positivity preserving Lamperti transformed Euler-Maruyama method for solving the stochastic Lotka-Volterra competition model.
Commun. Nonlinear Sci. Numer. Simul.
Yan Li, Wanrong Cao
2023 J jnl
Energy stability of a temporal variable-step difference scheme for time-fractional nonlinear fourth-order reaction-diffusion equation.
Int. J. Comput. Math.
Hong Sun, Wanrong Cao, Ming Zhang
2023 J jnl
On Spectral Petrov-Galerkin Method for Solving Optimal Control Problem Governed by Fractional Diffusion Equations with Fractional Noise.
J. Sci. Comput.
Shengyue Li, Wanrong Cao
2022 J jnl
An extrapolated finite difference method for two-dimensional fractional boundary value problems with non-smooth solution.
Int. J. Comput. Math.
Shengyue Li, Wanrong Cao, Zhaopeng Hao
2022 J jnl
On numerical methods to second-order singular initial value problems with additive white noise.
J. Comput. Appl. Math.
Nan Deng, Wanrong Cao, Guofei Pang
2022 J jnl
On spectral Petrov-Galerkin method for solving optimal control problem governed by a two-sided fractional diffusion equation.
Comput. Math. Appl.
Shengyue Li, Wanrong Cao, Yibo Wang
2022 J jnl
Optimal Strong Convergence of Finite Element Methods for One-Dimensional Stochastic Elliptic Equations with Fractional Noise.
J. Sci. Comput.
Wanrong Cao, Zhaopeng Hao, Zhongqiang Zhang
2022 J jnl
Split-step balanced θ-method for SDEs with non-globally Lipschitz continuous coefficients.
Appl. Math. Comput.
Yufen Liu, Wanrong Cao, Yuelin Li
2021 J jnl
Numerical correction of finite difference solution for two-dimensional space-fractional diffusion equations with boundary singularity.
Numer. Algorithms
Zhaopeng Hao, Wanrong Cao, Shengyue Li
2021 J jnl
On spectral Petrov-Galerkin method for solving fractional initial value problems in weighted Sobolev space.
CoRR
Shengyue Li, Wanrong Cao, Zhaopeng Hao
2021 J jnl
On spectral Petrov-Galerkin method for solving optimal control problem governed by a two-sided fractional diffusion equation.
CoRR
Shengyue Li, Wanrong Cao, Yibo Wang
2021 J jnl
On strong convergence of explicit numerical methods for stochastic delay differential equations under non-global Lipschitz conditions.
J. Comput. Appl. Math.
Wanrong Cao, Jia Liang, Yufen Liu
2019 J jnl
A finite difference scheme on graded meshes for time-fractional nonlinear Korteweg-de Vries equation.
Appl. Math. Comput.
Jinye Shen, Zhi-Zhong Sun, Wanrong Cao
2017 J jnl
A second-order difference scheme for the time fractional substantial diffusion equation.
J. Comput. Appl. Math.
Zhaopeng Hao, Wanrong Cao, Guang Lin
2017 J jnl
An Improved Algorithm Based on Finite Difference Schemes for Fractional Boundary Value Problems with Nonsmooth Solution.
J. Sci. Comput.
Zhaopeng Hao, Wanrong Cao
2016 J jnl
A finite difference scheme for semilinear space-fractional diffusion equations with time delay.
Appl. Math. Comput.
Zhaopeng Hao, Kai Fan, Wanrong Cao, Zhi-Zhong Sun
2016 J jnl
Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions.
SIAM J. Sci. Comput.
Wanrong Cao, Fanhai Zeng, Zhongqiang Zhang, George E. Karniadakis
2015 J jnl
Numerical Methods for Stochastic Delay Differential Equations Via the Wong-Zakai Approximation.
SIAM J. Sci. Comput.
Wanrong Cao, Zhongqiang Zhang, George E. Karniadakis
2015 J jnl
On mean-square stability of two-step Maruyama methods for nonlinear neutral stochastic delay differential equations.
Appl. Math. Comput.
Xiuping Li, Wanrong Cao
2015 J jnl
Time-Splitting Schemes for Fractional Differential Equations I: Smooth Solutions.
SIAM J. Sci. Comput.
Wanrong Cao, Zhongqiang Zhang, George E. Karniadakis
2014 J jnl
Spectral and Discontinuous Spectral Element Methods for Fractional Delay Equations.
SIAM J. Sci. Comput.
Mohsen Zayernouri, Wanrong Cao, Zhongqiang Zhang, George E. Karniadakis
2013 J jnl
On exponential mean-square stability of two-step Maruyama methods for stochastic delay differential equations.
J. Comput. Appl. Math.
Wanrong Cao, Zhongqiang Zhang
2010 J jnl
T-stability of the semi-implicit Euler method for delay differential equations with multiplicative noise.
Appl. Math. Comput.
Wanrong Cao
2004 J jnl
MS-stability of the Euler-Maruyama method for stochastic differential delay equations.
Appl. Math. Comput.
Wanrong Cao, Mingzhu Liu, Zhencheng Fan