Numerical investigations of two-phase flow with dynamic capillary pressure in porous media via a moving mesh method. - Hong Zhang 008; Paul Andries Zegeling (J. Comput. Phys., 2017)

Simulation of thin film flows with a moving mesh mixed finite element method. - Hong Zhang 008; Paul Andries Zegeling (Appl. Math. Comput., 2018)

A fast mass-conserving explicit splitting method for the stochastic space-fractional nonlinear Schrödinger equation with multiplicative noise. - Ziyuan Liu; Hong Zhang 008; Jingye Yan; Songhe Song (Appl. Math. Lett., 2019)

Mass and energy conservative high order diagonally implicit Runge-Kutta schemes for nonlinear Schrödinger equation in one and two dimensions. - Ziyuan Liu; Hong Zhang 008; Xu Qian; Songhe Song (CoRR, 2019)

Two novel linear-implicit momentum-conserving schemes for the fractional Korteweg-de Vries equation. - Jingye Yan; Hong Zhang 008; Ziyuan Liu; Songhe Song (Appl. Math. Comput., 2020)

Novel high-order energy-preserving diagonally implicit Runge-Kutta schemes for nonlinear Hamiltonian ODEs. - Hong Zhang 008; Xu Qian; Songhe Song (Appl. Math. Lett., 2020)

Highly efficient invariant-conserving explicit Runge-Kutta schemes for nonlinear Hamiltonian differential equations. - Hong Zhang 008; Xu Qian; Jingye Yan; Songhe Song (J. Comput. Phys., 2020)

Two regularized energy-preserving finite difference methods for the logarithmic Klein-Gordon equation. - Jingye Yan; Xu Qian; Hong Zhang 008; Songhe Song (J. Comput. Appl. Math., 2021)

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. - Hong Zhang 008; Jingye Yan; Xu Qian; Xianming Gu; Songhe Song (Numer. Algorithms, 2021)

Render unto Numerics : Orthogonal Polynomial Neural Operator for PDEs with Non-periodic Boundary Conditions. - Ziyuan Liu; Haifeng Wang; Kaijun Bao; Xu Qian; Hong Zhang 008; Songhe Song (CoRR, 2022)

Numerical approximation to nonlinear delay-differential-algebraic equations with proportional delay using block boundary value methods. - Xiaoqiang Yan; Xu Qian; Hong Zhang 008; Songhe Song (J. Comput. Appl. Math., 2022)

Explicit Third-Order Unconditionally Structure-Preserving Schemes for Conservative Allen-Cahn Equations. - Hong Zhang 008; Jingye Yan; Xu Qian; Xiaowei Chen; Songhe Song (J. Sci. Comput., 2022)

Correction to: Explicit Third-Order Unconditionally Structure-Preserving Schemes for Conservative Allen-Cahn Equations. - Hong Zhang 008; Jingye Yan; Xu Qian; Xiaowei Chen; Songhe Song (J. Sci. Comput., 2022)

Up to eighth-order maximum-principle-preserving methods for the Allen-Cahn equation. - Jingwei Sun; Hong Zhang 008; Xu Qian; Songhe Song (Numer. Algorithms, 2023)

High-order Runge-Kutta structure-preserving methods for the coupled nonlinear Schrödinger-KdV equations. - Yifei Huang; Gang Peng; Gengen Zhang; Hong Zhang 008 (Math. Comput. Simul., 2023)

A family of structure-preserving exponential time differencing Runge-Kutta schemes for the viscous Cahn-Hilliard equation. - Jingwei Sun; Hong Zhang 008; Xu Qian; Songhe Song (J. Comput. Phys., 2023)

Mass and energy conservative high-order diagonally implicit Runge-Kutta schemes for nonlinear Schrödinger equation. - Ziyuan Liu; Hong Zhang 008; Xu Qian; Songhe Song (Appl. Math. Lett., 2024)

Efficient diffusion domain modeling and fast numerical methods for diblock copolymer melt in complex domains. - Yan Wang; Xufeng Xiao; Hong Zhang 008; Xu Qian; Songhe Song (Comput. Phys. Commun., 2024)

A Second-Order, Global-in-Time Energy Stable Implicit-Explicit Runge-Kutta Scheme for the Phase Field Crystal Equation. - Hong Zhang 008; Haifeng Wang; Xueqing Teng (SIAM J. Numer. Anal., 2024)

Render unto Numerics: Orthogonal Polynomial Neural Operator for PDEs with Nonperiodic Boundary Conditions. - Ziyuan Liu; Haifeng Wang; Hong Zhang 008; Kaijun Bao; Xu Qian; Songhe Song (SIAM J. Sci. Comput., 2024)

Large time-stepping, delay-free, and invariant-set-preserving integrators for the viscous Cahn-Hilliard-Oono equation. - Hong Zhang 008; Lele Liu; Xu Qian; Songhe Song (J. Comput. Phys., 2024)

Third-order accurate, large time-stepping and maximum-principle-preserving schemes for the Allen-Cahn equation. - Hong Zhang 008; Xu Qian; Songhe Song (Numer. Algorithms, 2024)

High-order, large time-stepping integrators for scalar hyperbolic conservation laws. - Lele Liu; Hong Zhang 008; Xu Qian; Songhe Song (Commun. Nonlinear Sci. Numer. Simul., 2024)

On the maximum principle and high-order, delay-free integrators for the viscous Cahn-Hilliard equation. - Hong Zhang 008; Gengen Zhang; Ziyuan Liu; Xu Qian; Songhe Song (Adv. Comput. Math., 2024)

Error estimates for a class of energy dissipative IMEX Runge-Kutta schemes applied to the no-slope-selection thin film model. - Xueqing Teng; Xiaowei Chen; Hong Zhang 008 (Commun. Nonlinear Sci. Numer. Simul., 2025)

On the Convergence and Energy Stability Analysis for a Second-Order Scheme of the Swift-Hohenberg Equation. - Jingwei Sun; Haifeng Wang; Hong Zhang 008; Xu Qian; Songhe Song (J. Sci. Comput., 2025)