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2020 – today
- 2025
[j28]Yan Li, Qiuhong Xu, Wanrong Cao
:
Weak convergence of the split-step backward Euler method for stochastic delay integro-differential equations. Math. Comput. Simul. 227: 226-240 (2025)- 2024
- [j27]Yibo Wang, Wanrong Cao:
Exponential integrator for stochastic strongly damped wave equation based on the Wong-Zakai approximation. J. Comput. Appl. Math. 437: 115459 (2024) - [j26]Nan Deng, Wanrong Cao:
On strong convergence of two numerical methods for singular initial value problems with multiplicative white noise. J. Comput. Appl. Math. 445: 115801 (2024) - [j25]Yibo Wang, Wanrong Cao:
Strong 1.5 order scheme for fractional Langevin equation based on spectral approximation of white noise. Numer. Algorithms 95(1): 423-450 (2024) - [i5]Yibo Wang, Wanrong Cao, Yanzhao Cao:
Strong convergence of an explicit full-discrete scheme for stochastic Burgers-Huxley equation. CoRR abs/2408.00947 (2024) - [i4]Yibo Wang, Wanrong Cao:
Strong convergence of a fully discrete scheme for stochastic Burgers equation with fractional-type noise. CoRR abs/2408.00951 (2024) - [i3]Yibo Wang, Wanrong Cao:
Approximation of the invariant measure for stochastic Allen-Cahn equation via an explicit fully discrete scheme. CoRR abs/2408.00953 (2024) - 2023
- [j24]Yan Li, Wanrong Cao:
A positivity preserving Lamperti transformed Euler-Maruyama method for solving the stochastic Lotka-Volterra competition model. Commun. Nonlinear Sci. Numer. Simul. 122: 107260 (2023) - [j23]Hong Sun, Wanrong Cao, Ming Zhang:
Energy stability of a temporal variable-step difference scheme for time-fractional nonlinear fourth-order reaction-diffusion equation. Int. J. Comput. Math. 100(5): 991-1008 (2023) - [j22]Shengyue Li, Wanrong Cao:
On Spectral Petrov-Galerkin Method for Solving Optimal Control Problem Governed by Fractional Diffusion Equations with Fractional Noise. J. Sci. Comput. 94(3): 62 (2023) - 2022
- [j21]Yufen Liu, Wanrong Cao, Yuelin Li:
Split-step balanced θ-method for SDEs with non-globally Lipschitz continuous coefficients. Appl. Math. Comput. 413: 126437 (2022) - [j20]Shengyue Li, Wanrong Cao, Yibo Wang:
On spectral Petrov-Galerkin method for solving optimal control problem governed by a two-sided fractional diffusion equation. Comput. Math. Appl. 107: 104-116 (2022) - [j19]Shengyue Li, Wanrong Cao, Zhaopeng Hao:
An extrapolated finite difference method for two-dimensional fractional boundary value problems with non-smooth solution. Int. J. Comput. Math. 99(2): 274-291 (2022) - [j18]Nan Deng, Wanrong Cao, Guofei Pang:
On numerical methods to second-order singular initial value problems with additive white noise. J. Comput. Appl. Math. 416: 114539 (2022) - [j17]Wanrong Cao, Zhaopeng Hao, Zhongqiang Zhang:
Optimal Strong Convergence of Finite Element Methods for One-Dimensional Stochastic Elliptic Equations with Fractional Noise. J. Sci. Comput. 91(1): 1 (2022) - 2021
- [j16]Wanrong Cao, Jia Liang, Yufen Liu:
On strong convergence of explicit numerical methods for stochastic delay differential equations under non-global Lipschitz conditions. J. Comput. Appl. Math. 382: 113079 (2021) - [j15]Zhaopeng Hao, Wanrong Cao, Shengyue Li:
Numerical correction of finite difference solution for two-dimensional space-fractional diffusion equations with boundary singularity. Numer. Algorithms 86(3): 1071-1087 (2021) - [i2]Shengyue Li, Wanrong Cao, Yibo Wang:
On spectral Petrov-Galerkin method for solving optimal control problem governed by a two-sided fractional diffusion equation. CoRR abs/2106.10436 (2021) - [i1]Shengyue Li, Wanrong Cao, Zhaopeng Hao:
On spectral Petrov-Galerkin method for solving fractional initial value problems in weighted Sobolev space. CoRR abs/2109.01859 (2021)
2010 – 2019
- 2019
- [j14]Jinye Shen, Zhi-Zhong Sun, Wanrong Cao:
A finite difference scheme on graded meshes for time-fractional nonlinear Korteweg-de Vries equation. Appl. Math. Comput. 361: 752-765 (2019) - 2017
- [j13]Zhaopeng Hao, Wanrong Cao, Guang Lin:
A second-order difference scheme for the time fractional substantial diffusion equation. J. Comput. Appl. Math. 313: 54-69 (2017) - [j12]Zhaopeng Hao, Wanrong Cao:
An Improved Algorithm Based on Finite Difference Schemes for Fractional Boundary Value Problems with Nonsmooth Solution. J. Sci. Comput. 73(1): 395-415 (2017) - 2016
- [j11]Zhaopeng Hao, Kai Fan, Wanrong Cao, Zhi-Zhong Sun:
A finite difference scheme for semilinear space-fractional diffusion equations with time delay. Appl. Math. Comput. 275: 238-254 (2016) - [j10]Wanrong Cao, Fanhai Zeng, Zhongqiang Zhang, George E. Karniadakis:
Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions. SIAM J. Sci. Comput. 38(5) (2016) - 2015
- [j9]Xiuping Li, Wanrong Cao:
On mean-square stability of two-step Maruyama methods for nonlinear neutral stochastic delay differential equations. Appl. Math. Comput. 261: 373-381 (2015) - [j8]Zhao-peng Hao, Zhi-Zhong Sun, Wan-Rong Cao:
A fourth-order approximation of fractional derivatives with its applications. J. Comput. Phys. 281: 787-805 (2015) - [j7]Wanrong Cao, Zhongqiang Zhang, George E. Karniadakis:
Numerical Methods for Stochastic Delay Differential Equations Via the Wong-Zakai Approximation. SIAM J. Sci. Comput. 37(1) (2015) - [j6]Wanrong Cao, Zhongqiang Zhang, George E. Karniadakis:
Time-Splitting Schemes for Fractional Differential Equations I: Smooth Solutions. SIAM J. Sci. Comput. 37(4) (2015) - 2014
- [j5]Mohsen Zayernouri, Wanrong Cao, Zhongqiang Zhang, George E. Karniadakis:
Spectral and Discontinuous Spectral Element Methods for Fractional Delay Equations. SIAM J. Sci. Comput. 36(6) (2014) - 2013
- [j4]Wanrong Cao, Zhongqiang Zhang:
On exponential mean-square stability of two-step Maruyama methods for stochastic delay differential equations. J. Comput. Appl. Math. 245: 182-193 (2013) - 2010
- [j3]Wanrong Cao:
T-stability of the semi-implicit Euler method for delay differential equations with multiplicative noise. Appl. Math. Comput. 216(3): 999-1006 (2010) - [j2]Wan-Rong Cao, Zhi-Zhong Sun:
Maximum norm error estimates of the Crank-Nicolson scheme for solving a linear moving boundary problem. J. Comput. Appl. Math. 234(8): 2578-2586 (2010)
2000 – 2009
- 2004
- [j1]Wanrong Cao, MingZhu Liu, Zhencheng Fan:
MS-stability of the Euler-Maruyama method for stochastic differential delay equations. Appl. Math. Comput. 159(1): 127-135 (2004)
Coauthor Index
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