Zhaopeng Hao

23 papers Journal 23
YearRankTypeTitle / Venue / Authors
2026 J jnl
A Simple and Fast Finite Difference Method for the Integral Fractional Laplacian of Variable Order.
SIAM J. Sci. Comput.
Zhaopeng Hao, Siyuan Shi, Zhongqiang Zhang, Rui Du
2025 J jnl
A Simple and Efficient Finite Difference Method for the Tempered Nonlocal Laplacian.
J. Sci. Comput.
Xuehong Cui, Rui Du, Zhaopeng Hao
2025 J jnl
A Spectral Galerkin Method for the Mixed Local and Nonlocal Elliptic Equations.
J. Sci. Comput.
Zhaopeng Hao, Zhongqiang Zhang
2025 J jnl
A finite difference method for elliptic equations with the variable-order fractional derivative.
Numer. Algorithms
Siyuan Shi, Zhaopeng Hao, Rui Du
2025 J jnl
An implicit-explicit finite difference scheme for the dissipative 2D surface quasi-geostrophic equations.
Int. J. Comput. Math.
Su Lei, Zhaopeng Hao, Rui Du
2025 J jnl
FPINN-deeponet: A physics-informed operator learning framework for multi-term time-fractional mixed diffusion-wave equations.
J. Comput. Phys.
Binghang Lu, Zhaopeng Hao, Christian Moya, Guang Lin
2024 J jnl
A simple and fast finite difference method for the integral fractional Laplacian of variable order.
CoRR
Zhaopeng Hao, Siyuan Shi, Zhongqiang Zhang, Rui Du
2024 J jnl
Fractional-order dependent Radial basis functions meshless methods for the integral fractional Laplacian.
CoRR
Zhaopeng Hao, Zhiqiang Cai, Zhongqiang Zhang
2022 J jnl
A Linear Finite Difference Scheme for the Two-Dimensional Nonlinear Schrödinger Equation with Fractional Laplacian.
J. Sci. Comput.
Yanyan Wang, Zhaopeng Hao, Rui Du
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
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
2021 J jnl
Fractional centered difference scheme for high-dimensional integral fractional Laplacian.
J. Comput. Phys.
Zhaopeng Hao, Zhongqiang Zhang, Rui Du
2021 J jnl
High-dimensional nonlinear Ginzburg-Landau equation with fractional Laplacian: Discretization and simulations.
Commun. Nonlinear Sci. Numer. Simul.
Rui Du, Yanyan Wang, Zhaopeng Hao
2021 J jnl
Numerical Approximation of Optimal Convergence for Fractional Elliptic Equations with Additive Fractional Gaussian Noise.
SIAM/ASA J. Uncertain. Quantification
Zhaopeng Hao, Zhongqiang Zhang
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
Sharp error estimates of a spectral Galerkin method for a diffusion-reaction equation with integral fractional Laplacian on a disk.
Math. Comput.
Zhaopeng Hao, Huiyuan Li, Zhimin Zhang, Zhongqiang Zhang
2020 J jnl
Error estimates of a spectral Petrov-Galerkin method for two-sided fractional reaction-diffusion equations.
Appl. Math. Comput.
Zhaopeng Hao, Guang Lin, Zhongqiang Zhang
2020 J jnl
Optimal Regularity and Error Estimates of a Spectral Galerkin Method for Fractional Advection-Diffusion-Reaction Equations.
SIAM J. Numer. Anal.
Zhaopeng Hao, Zhongqiang Zhang
2019 J jnl
Finite Element Method for Two-Sided Fractional Differential Equations with Variable Coefficients: Galerkin Approach.
J. Sci. Comput.
Zhaopeng Hao, Moongyu Park, Guang Lin, Zhiqiang Cai
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