Zhaopeng Hao

Publication Activity (10 Years)

Years Active: 2016-2024
Publications (10 Years): 16

Top Topics

Diffusion Equation

Coherence Enhancing Diffusion

Error Estimates

Top Venues

J. Sci. Comput.

Appl. Math. Comput.

SIAM/ASA J. Uncertain. Quantification

Publications

Zhaopeng Hao, Siyuan Shi, Zhongqiang Zhang, Rui Du
A simple and fast finite difference method for the integral fractional Laplacian of variable order. CoRR (2024)
Yanyan Wang, Zhaopeng Hao, Rui Du
A Linear Finite Difference Scheme for the Two-Dimensional Nonlinear Schrödinger Equation with Fractional Laplacian. J. Sci. Comput. 90 (1) (2022)
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) (2022)
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) (2022)
Rui Du, Yanyan Wang, Zhaopeng Hao
High-dimensional nonlinear Ginzburg-Landau equation with fractional Laplacian: Discretization and simulations. Commun. Nonlinear Sci. Numer. Simul. 102 (2021)
Zhaopeng Hao, Zhongqiang Zhang, Rui Du
Fractional centered difference scheme for high-dimensional integral fractional Laplacian. J. Comput. Phys. 424 (2021)
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) (2021)
Zhaopeng Hao, Zhongqiang Zhang
Numerical Approximation of Optimal Convergence for Fractional Elliptic Equations with Additive Fractional Gaussian Noise. SIAM/ASA J. Uncertain. Quantification 9 (3) (2021)
Shengyue Li, Wanrong Cao, Zhaopeng Hao
On spectral Petrov-Galerkin method for solving fractional initial value problems in weighted Sobolev space. CoRR (2021)
Zhaopeng Hao, Huiyuan Li, Zhimin Zhang, Zhongqiang Zhang
Sharp error estimates of a spectral Galerkin method for a diffusion-reaction equation with integral fractional Laplacian on a disk. Math. Comput. 90 (331) (2021)
Zhaopeng Hao, Guang Lin, Zhongqiang Zhang
Error estimates of a spectral Petrov-Galerkin method for two-sided fractional reaction-diffusion equations. Appl. Math. Comput. 374 (2020)
Zhaopeng Hao, Zhongqiang Zhang
Optimal Regularity and Error Estimates of a Spectral Galerkin Method for Fractional Advection-Diffusion-Reaction Equations. SIAM J. Numer. Anal. 58 (1) (2020)
Zhaopeng Hao, Moongyu Park, Guang Lin, Zhiqiang Cai
Finite Element Method for Two-Sided Fractional Differential Equations with Variable Coefficients: Galerkin Approach. J. Sci. Comput. 79 (2) (2019)
Zhaopeng Hao, Wanrong Cao, Guang Lin
A second-order difference scheme for the time fractional substantial diffusion equation. J. Comput. Appl. Math. 313 (2017)
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) (2017)
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 (2016)