Hong Zhang

Publication Activity (10 Years)

Years Active: 2017-2024
Publications (10 Years): 23

Top Topics

Numerical Methods

Boundary Conditions

Differential Equations

Top Venues

J. Comput. Phys.

Appl. Math. Lett.

Numer. Algorithms

Publications

Hong Zhang, Gengen Zhang, Ziyuan Liu, Xu Qian, Songhe Song
On the maximum principle and high-order, delay-free integrators for the viscous Cahn-Hilliard equation. Adv. Comput. Math. 50 (3) (2024)
Ziyuan Liu, Haifeng Wang, Hong Zhang, Kaijun Bao, Xu Qian, Songhe Song
Render unto Numerics: Orthogonal Polynomial Neural Operator for PDEs with Nonperiodic Boundary Conditions. SIAM J. Sci. Comput. 46 (4) (2024)
Hong Zhang, Xu Qian, Songhe Song
Third-order accurate, large time-stepping and maximum-principle-preserving schemes for the Allen-Cahn equation. Numer. Algorithms 95 (3) (2024)
Ziyuan Liu, Hong Zhang, Xu Qian, Songhe Song
Mass and energy conservative high-order diagonally implicit Runge-Kutta schemes for nonlinear Schrödinger equation. Appl. Math. Lett. 153 (2024)
Yan Wang, Xufeng Xiao, Hong Zhang, Xu Qian, Songhe Song
Efficient diffusion domain modeling and fast numerical methods for diblock copolymer melt in complex domains. Comput. Phys. Commun. 305 (2024)
Hong Zhang, Lele Liu, Xu Qian, Songhe Song
Large time-stepping, delay-free, and invariant-set-preserving integrators for the viscous Cahn-Hilliard-Oono equation. J. Comput. Phys. 499 (2024)
Lele Liu, Hong Zhang, Xu Qian, Songhe Song
High-order, large time-stepping integrators for scalar hyperbolic conservation laws. Commun. Nonlinear Sci. Numer. Simul. 131 (2024)
Jingwei Sun, Hong Zhang, Xu Qian, Songhe Song
Up to eighth-order maximum-principle-preserving methods for the Allen-Cahn equation. Numer. Algorithms 92 (2) (2023)
Jingwei Sun, Hong Zhang, Xu Qian, Songhe Song
A family of structure-preserving exponential time differencing Runge-Kutta schemes for the viscous Cahn-Hilliard equation. J. Comput. Phys. 492 (2023)
Hong Zhang, Jingye Yan, Xu Qian, Xiaowei Chen, Songhe Song
Explicit Third-Order Unconditionally Structure-Preserving Schemes for Conservative Allen-Cahn Equations. J. Sci. Comput. 90 (1) (2022)
Xiaoqiang Yan, Xu Qian, Hong Zhang, Songhe Song
Numerical approximation to nonlinear delay-differential-algebraic equations with proportional delay using block boundary value methods. J. Comput. Appl. Math. 404 (2022)
Ziyuan Liu, Haifeng Wang, Kaijun Bao, Xu Qian, Hong Zhang, Songhe Song
Render unto Numerics : Orthogonal Polynomial Neural Operator for PDEs with Non-periodic Boundary Conditions. CoRR (2022)
Hong Zhang, Jingye Yan, Xu Qian, Xiaowei Chen, Songhe Song
Correction to: Explicit Third-Order Unconditionally Structure-Preserving Schemes for Conservative Allen-Cahn Equations. J. Sci. Comput. 91 (1) (2022)
Hong Zhang, Jingye Yan, Xu Qian, Xianming Gu, Songhe Song
On the preserving of the maximum principle and energy stability of high-order implicit-explicit Runge-Kutta schemes for the space-fractional Allen-Cahn equation. Numer. Algorithms 88 (3) (2021)
Jingye Yan, Xu Qian, Hong Zhang, Songhe Song
Two regularized energy-preserving finite difference methods for the logarithmic Klein-Gordon equation. J. Comput. Appl. Math. 393 (2021)
Jingye Yan, Hong Zhang, Ziyuan Liu, Songhe Song
Two novel linear-implicit momentum-conserving schemes for the fractional Korteweg-de Vries equation. Appl. Math. Comput. 367 (2020)
Hong Zhang, Xu Qian, Songhe Song
Novel high-order energy-preserving diagonally implicit Runge-Kutta schemes for nonlinear Hamiltonian ODEs. Appl. Math. Lett. 102 (2020)
Hong Zhang, Xu Qian, Jingye Yan, Songhe Song
Highly efficient invariant-conserving explicit Runge-Kutta schemes for nonlinear Hamiltonian differential equations. J. Comput. Phys. 418 (2020)
Ziyuan Liu, Hong Zhang, Xu Qian, Songhe Song
Mass and energy conservative high order diagonally implicit Runge-Kutta schemes for nonlinear Schrödinger equation in one and two dimensions. CoRR (2019)
Ziyuan Liu, Hong Zhang, Jingye Yan, Songhe Song
A fast mass-conserving explicit splitting method for the stochastic space-fractional nonlinear Schrödinger equation with multiplicative noise. Appl. Math. Lett. 98 (2019)
Hong Zhang, Paul Andries Zegeling
Simulation of thin film flows with a moving mesh mixed finite element method. Appl. Math. Comput. 338 (2018)
Hong Zhang, Paul Andries Zegeling
Simulation of thin film flows with a moving mesh mixed finite element method. CoRR (2018)
Hong Zhang, Paul Andries Zegeling
Numerical investigations of two-phase flow with dynamic capillary pressure in porous media via a moving mesh method. J. Comput. Phys. 345 (2017)