Some new structure-preserving algorithms for general multi-symplectic formulations of Hamiltonian PDEs. - Yuezheng Gong; Jiaxiang Cai; Yushun Wang (J. Comput. Phys., 2014)

Convergence of time-splitting energy-conserved symplectic schemes for 3D Maxwell's equations. - Jiaxiang Cai; Yushun Wang; Yuezheng Gong (Appl. Math. Comput., 2015)

Two Energy-Conserved Splitting Methods for Three-Dimensional Time-Domain Maxwell's Equations and the Convergence Analysis. - Jiaxiang Cai; Jialin Hong; Yushun Wang; Yuezheng Gong (SIAM J. Numer. Anal., 2015)

Numerical Analysis of AVF Methods for Three-Dimensional Time-Domain Maxwell's Equations. - Jiaxiang Cai; Yushun Wang; Yuezheng Gong (J. Sci. Comput., 2016)

Fully Discretized Energy Stable Schemes for Hydrodynamic Equations Governing Two-Phase Viscous Fluid Flows. - Yuezheng Gong; Xinfeng Liu; Qi Wang 021 (J. Sci. Comput., 2016)

An energy stable algorithm for a quasi-incompressible hydrodynamic phase-field model of viscous fluid mixtures with variable densities and viscosities. - Yuezheng Gong; Jia Zhao 004; Qi Wang 021 (Comput. Phys. Commun., 2017)

A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation. - Yuezheng Gong; Qi Wang 021; Yushun Wang; Jiaxiang Cai (J. Comput. Phys., 2017)

Linear second order in time energy stable schemes for hydrodynamic models of binary mixtures based on a spatially pseudospectral approximation. - Yuezheng Gong; Jia Zhao 004; Qi Wang 021 (Adv. Comput. Math., 2018)

Efficient local energy dissipation preserving algorithms for the Cahn-Hilliard equation. - Zhenguo Mu; Yuezheng Gong; Wenjun Cai; Yushun Wang (J. Comput. Phys., 2018)

Fully Discrete Second-Order Linear Schemes for Hydrodynamic Phase Field Models of Binary Viscous Fluid Flows with Variable Densities. - Yuezheng Gong; Jia Zhao 004; Xiaogang Yang; Qi Wang 021 (SIAM J. Sci. Comput., 2018)

Second Order Fully Discrete Energy Stable Methods on Staggered Grids for Hydrodynamic Phase Field Models of Binary Viscous Fluids. - Yuezheng Gong; Jia Zhao 004; Qi Wang 021 (SIAM J. Sci. Comput., 2018)

Linear and Hamiltonian-conserving Fourier pseudo-spectral schemes for the Camassa-Holm equation. - Qi Hong; Yuezheng Gong; Zhongquan Lv (Appl. Math. Comput., 2019)

Energy-stable Runge-Kutta schemes for gradient flow models using the energy quadratization approach. - Yuezheng Gong; Jia Zhao 004 (Appl. Math. Lett., 2019)

Arbitrarily high-order energy-preserving schemes for the Camassa-Holm equation. - Chaolong Jiang; Yushun Wang; Yuezheng Gong (CoRR, 2019)

Arbitrarily High-order Unconditionally Energy Stable Schemes for Gradient Flow Models Using the Scalar Auxiliary Variable Approach. - Yuezheng Gong; Jia Zhao 004; Qi Wang 021 (CoRR, 2019)

Arbitrarily High-order Linear Schemes for Gradient Flow Models. - Yuezheng Gong; Jia Zhao 004; Qi Wang 021 (CoRR, 2019)

Two novel classes of linear high-order structure-preserving schemes for the generalized nonlinear Schrödinger equation. - Xin Li 075; Yuezheng Gong; Luming Zhang (Appl. Math. Lett., 2020)

Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint. - Bingquan Ji; Hong-lin Liao; Yuezheng Gong; Luming Zhang (Commun. Nonlinear Sci. Numer. Simul., 2020)

Two novel classes of energy-preserving numerical approximations for the sine-Gordon equation with Neumann boundary conditions. - Qi Hong; Yushun Wang; Yuezheng Gong (CoRR, 2020)

Supplementary Variable Method for Developing Structure-Preserving Numerical Approximations to Thermodynamically Consistent Partial Differential Equations. - Yuezheng Gong; Qi Hong; Qi Wang 021 (CoRR, 2020)

An explicit and practically invariants-preserving method for conservative systems. - Wenjun Cai; Yuezheng Gong; Yushun Wang (CoRR, 2020)

Arbitrarily high-order unconditionally energy stable SAV schemes for gradient flow models. - Yuezheng Gong; Jia Zhao 004; Qi Wang 021 (Comput. Phys. Commun., 2020)

Energy-stable predictor-corrector schemes for the Cahn-Hilliard equation. - Jun Zhang 047; Maosheng Jiang; Yuezheng Gong; Jia Zhao 004 (J. Comput. Appl. Math., 2020)

Error analysis of full-discrete invariant energy quadratization schemes for the Cahn-Hilliard type equation. - Jun Zhang 047; Jia Zhao 004; Yuezheng Gong (J. Comput. Appl. Math., 2020)

Arbitrarily high-order linear energy stable schemes for gradient flow models. - Yuezheng Gong; Jia Zhao 004; Qi Wang 021 (J. Comput. Phys., 2020)

A Linearly Implicit Structure-Preserving Scheme for the Camassa-Holm Equation Based on Multiple Scalar Auxiliary Variables Approach. - Chaolong Jiang; Yuezheng Gong; Wenjun Cai; Yushun Wang (J. Sci. Comput., 2020)

Arbitrarily High-Order Unconditionally Energy Stable Schemes for Thermodynamically Consistent Gradient Flow Models. - Yuezheng Gong; Jia Zhao 004; Qi Wang 021 (SIAM J. Sci. Comput., 2020)

Adaptive Second-Order Crank-Nicolson Time-Stepping Schemes for Time-Fractional Molecular Beam Epitaxial Growth Models. - Bingquan Ji; Hong-lin Liao; Yuezheng Gong; Luming Zhang (SIAM J. Sci. Comput., 2020)

On convergence of a structure preserving difference scheme for two-dimensional space-fractional nonlinear Schrödinger equation and its fast implementation. - Dongdong Hu; Yuezheng Gong; Yushun Wang (Comput. Math. Appl., 2021)

A new class of high-order energy-preserving schemes for the Korteweg-de Vries equation based on the quadratic auxiliary variable (QAV) approach. - Yuezheng Gong; Yue Chen; Chuwu Wang; Qi Hong (CoRR, 2021)

A Remark on the Invariant Energy Quadratization (IEQ) Method for Preserving the Original Energy Dissipation Laws. - Zengyan Zhang; Yuezheng Gong; Jia Zhao 004 (CoRR, 2021)

Explicit high-order energy-preserving methods for general Hamiltonian partial differential equations. - Chaolong Jiang; Yushun Wang; Yuezheng Gong (J. Comput. Appl. Math., 2021)

Linear High-Order Energy-Preserving Schemes for the Nonlinear Schrödinger Equation with Wave Operator Using the Scalar Auxiliary Variable Approach. - Xin Li 075; Yuezheng Gong; Luming Zhang (J. Sci. Comput., 2021)

Thermodynamically consistent hydrodynamic phase-field computational modeling for fluid-structure interaction with moving contact lines. - Qi Hong; Yuezheng Gong; Jia Zhao 004 (J. Comput. Phys., 2023)

A class of arbitrarily high-order energy-preserving method for nonlinear Klein-Gordon-Schrödinger equations. - Xuelong Gu; Yuezheng Gong; Wenjun Cai; Yushun Wang (Comput. Phys. Commun., 2024)

An extended quadratic auxiliary variable method for the singular Lennard-Jones droplet liquid film model. - Shuhan Yao; Qi Hong; Yuezheng Gong (Appl. Math. Lett., 2024)

A multi-physical structure-preserving method and its analysis for the conservative Allen-Cahn equation with nonlocal constraint. - Xu Liu; Qi Hong; Hong-lin Liao; Yuezheng Gong (Numer. Algorithms, 2024)

A maximum bound principle-preserving, second-order BDF scheme with variable steps for the generalized Allen-Cahn equation. - Xiaohan Zhu; Yuezheng Gong; Yushun Wang (Commun. Nonlinear Sci. Numer. Simul., 2025)

Highly efficient linear energy stable methods for preserving the original energy dissipation law of the incompressible Navier-Stokes equation. - Zihan Weng; Qi Hong; Yuezheng Gong (CoRR, 2025)