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Zhaopeng Hao
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Year
A fourth-order compact ADI scheme for two-dimensional nonlinear space fractional Schrodinger equation
X Zhao, Z Sun, Z Hao
SIAM Journal on Scientific Computing 36 (6), A2865-A2886, 2014
2912014
A fourth-order approximation of fractional derivatives with its applications
Z Hao, Z Sun, W Cao
Journal of Computational Physics 281, 787-805, 2015
1892015
Fractional centered difference scheme for high-dimensional integral fractional Laplacian
Z Hao, Z Zhang, R Du
Journal of Computational Physics 424, 109851, 2021
662021
Optimal regularity and error estimates of a spectral Galerkin method for fractional advection-diffusion-reaction equations
Z Hao, Z Zhang
SIAM Journal on Numerical Analysis 58 (1), 211-233, 2020
602020
A finite difference scheme for semilinear space-fractional diffusion equations with time delay
Z Hao, K Fan, W Cao, Z Sun
Applied Mathematics and Computation 275, 238-254, 2016
532016
Numerical algorithms with high spatial accuracy for the fourth-order fractional sub-diffusion equations with the first Dirichlet boundary conditions
C Ji, Z Sun, Z Hao
Journal of Scientific Computing 66, 1148-1174, 2016
502016
A linearized high‐order difference scheme for the fractional Ginzburg–Landau equation
Z Hao, Z Sun
Numerical Methods for Partial Differential Equations 33 (1), 105-124, 2017
412017
An improved algorithm based on finite difference schemes for fractional boundary value problems with nonsmooth solution
Z Hao, W Cao
Journal of Scientific Computing 73, 395-415, 2017
402017
A three‐level linearized compact difference scheme for the Ginzburg–Landau equation
ZP Hao, ZZ Sun, WR Cao
Numerical Methods for Partial Differential Equations 31 (3), 876-899, 2015
352015
Finite element method for two-sided fractional differential equations with variable coefficients: Galerkin approach
Z Hao, M Park, G Lin, Z Cai
Journal of Scientific Computing 79, 700-717, 2019
302019
Split-step θ-method for stochastic delay differential equations
ZZ Wanrong Cao, Peng Hao
Applied Numerical Mathematics 76, Pages 19–33, 2014
272014
Sharp error estimates of a spectral Galerkin method for a diffusion-reaction equation with integral fractional Laplacian on a disk
Z Hao, H Li, Z Zhang, Z Zhang
Mathematics of Computation 90 (331), 2107-2135, 2021
252021
Error estimates of a spectral Petrov–Galerkin method for two-sided fractional reaction–diffusion equations
Z Hao, G Lin, Z Zhang
Applied Mathematics and Computation 374, 125045, 2020
212020
Lubich second-order methods for distributed-order time-fractional differential equations with smooth solutions
R Du, Z Hao, Z Sun
East Asian Journal on Applied Mathematics 6 (2), 131-151, 2016
212016
A second-order difference scheme for the time fractional substantial diffusion equation
Z Hao, W Cao, G Lin
Journal of Computational and Applied Mathematics 313, 54-69, 2017
192017
Numerical correction of finite difference solution for two-dimensional space-fractional diffusion equations with boundary singularity
Z Hao, W Cao, S Li
Numerical Algorithms 86, 1071-1087, 2021
162021
Finite difference schemes for multi-term time-fractional mixed diffusion-wave equations
Z Hao, G Lin
arXiv preprint arXiv:1607.07104, 2016
132016
A linear finite difference scheme for the two-dimensional nonlinear Schrödinger equation with fractional Laplacian
Y Wang, Z Hao, R Du
Journal of Scientific Computing 90 (1), 24, 2022
112022
A high-order difference scheme for the fractional sub-diffusion equation
Z Hao, G Lin, Z Sun
International Journal of Computer Mathematics 94 (2), 405-426, 2017
112017
High-dimensional nonlinear Ginzburg–Landau equation with fractional Laplacian: Discretization and simulations
R Du, Y Wang, Z Hao
Communications in Nonlinear Science and Numerical Simulation 102, 105920, 2021
92021
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