92 citations · 374 across the 18 of their papers we have counts for
18 papers
A Remark on the Invariant Energy Quadratization (IEQ) Method for Preserving the Original Energy Dissipation Laws
Zengyan Zhang, Yuezheng Gong, Jia Zhao
In this letter, we revisit the IEQ method and provide a new perspective on its ability to preserve the original energy dissipation laws. The invariant energy quadratization (IEQ) m…
A novel class of energy-preserving Runge-Kutta methods for the Korteweg-de Vries equation
Yue Chen, Yuezheng Gong, Qi Hong +1
In this paper, we present a quadratic auxiliary variable approach to develop a new class of energy-preserving Runge-Kutta methods for the Korteweg-de Vries equation. The quadratic…
An explicit and practically invariants-preserving method for conservative systems
Wenjun Cai, Yuezheng Gong, Yushun Wang
An explicit numerical strategy that practically preserves invariants is derived for conservative systems by combining an explicit high-order Runge-Kutta (RK) scheme with a simple m…
Supplementary Variable Method for Developing Structure-Preserving Numerical Approximations to Thermodynamically Consistent Partial Differential Equations
Yuezheng Gong, Qi Hong, Qi Wang
We present a new temporal discretization paradigm for developing energy-production-rate preserving numerical approximations to thermodynamically consistent partial differential equ…
Efficient energy-preserving numerical approximations for the sine-Gordon equation with Neumann boundary conditions
Qi Hong, Yushun Wang, Yuezheng Gong
We present two novel classes of fully discrete energy-preserving algorithms for the sine-Gordon equation subject to Neumann boundary conditions. The cosine pseudo-spectral method i…
Explicit high-order energy-preserving methods for general Hamiltonian partial differential equations
Chaolong Jiang, Yushun Wang, Yuezheng Gong
A novel class of explicit high-order energy-preserving methods are proposed for general Hamiltonian partial differential equations with non-canonical structure matrix. When the ene…
Arbitrarily High-order Linear Schemes for Gradient Flow Models
Yuezheng Gong, Jia Zhao, Qi Wang
We present a paradigm for developing arbitrarily high order, linear, unconditionally energy stable numerical algorithms for gradient flow models. We apply the energy quadratization…
Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint
Bingquan Ji, Hong-lin Liao, Yuezheng Gong +1
A time-fractional Allen-Cahn equation with volume constraint is first proposed by introducing a nonlocal time-dependent Lagrange multiplier. Adaptive linear second-order energy sta…
Arbitrarily High-order Unconditionally Energy Stable Schemes for Thermodynamically Consistent Gradient Flow Models
Yuezheng Gong, Jia Zhao, Qi Wang
We present a systematical approach to developing arbitrarily high order, unconditionally energy stable numerical schemes for thermodynamically consistent gradient flow models that…
Arbitrarily High-order Unconditionally Energy Stable Schemes for Gradient Flow Models Using the Scalar Auxiliary Variable Approach
Yuezheng Gong, Jia Zhao, Qi Wang
In this paper, we propose a novel family of high-order numerical schemes for the gradient flow models based on the scalar auxiliary variable (SAV) approach, which is named the high…
A linearly implicit structure-preserving scheme for the Camassa-Holm equation based on multiple scalar auxiliary variables approach
Chaolong Jiang, Yuezheng Gong, Wenjun Cai +1
In this paper, we present a linearly implicit energy-preserving scheme for the Camassa-Holm equation by using the multiple scalar auxiliary variables approach, which is first devel…
Adaptive second-order Crank-Nicolson time-stepping schemes for time fractional molecular beam epitaxial growth models
Bingquan Ji, Hong-lin Liao, Yuezheng Gong +1
Adaptive second-order Crank-Nicolson time-stepping methods using the recent scalar auxiliary variable (SAV) approach are developed for the time-fractional Molecular Beam Epitaxial…
Arbitrarily high-order energy-preserving schemes for the Camassa-Holm equation
Chaolong Jiang, Yushun Wang, Yuezheng Gong
In this paper, we develop a novel class of arbitrarily high-order energy-preserving schemes for the Camassa-Holm equation. With the aid of the invariant energy quadratization appro…
Quasi-incompressible Multi-species Ionic Fluid Models
Xiaogang Yang, Yuezheng Gong, Jun Li +2
In traditional hydrodynamic theories for ionic fluids, conservation of the mass and linear momentum is not properly taken care of. In this paper, we develop hydrodynamic theories f…
Second-order linear structure-preserving modified finite volume schemes for the regularized long-wave equation
Qi Hong, Jialing Wang, Yuezheng Gong
In this paper, based on the weak form of the Hamiltonian formulation of the regularized long-wave equation and a novel approach of transforming the original Hamiltonian energy into…
Optimal error estimate of two linear and momentum-preserving Fourier pseudo-spectral schemes for the RLW equation
Qi Hong, Yushun Wang, Yuezheng Gong
In this paper, two novel linear-implicit and momentum-preserving Fourier pseudo-spectral schemes are proposed and analyzed for the regularized long-wave equation. The numerical met…
Structure-Preserving Galerkin POD Reduced-Order Modeling of Hamiltonian Systems
Yuezheng Gong, Qi Wang, Zhu Wang
The proper orthogonal decomposition reduced-order models (POD-ROMs) have been widely used as a computationally efficient surrogate models in large-scale numerical simulations of co…
Analysis of a mutualism model with stochastic perturbations
Mei Li, Hongjun Gao, Chenfeng Sun +1
This article is concerned with a mutualism ecological model with stochastic perturbations. the local existence and uniqueness of a positive solution are obtained with positive init…