105 citations · 280 across the 28 of their papers we have counts for
28 papers
A novel high-order linearly implicit and energy-stable additive Runge-Kutta methods for gradient flow models
Xuelong Gu, Wenjun Cai, Yushun Wang
This paper introduces a novel paradigm for constructing linearly implicit and high-order unconditionally energy-stable schemes for general gradient flows, utilizing the scalar auxi…
Energy stable and maximum bound principle preserving schemes for the Allen-Cahn equation based on the Saul'yev methods
Xuelong Gu, Yushun Wang, Wenjun Cai
The energy dissipation law and maximum bound principle are significant characteristics of the Allen-Chan equation. To preserve discrete counterpart of these properties, the linear…
Unconditional convergence of conservative spectral Galerkin methods for the coupled fractional nonlinear Klein-Gordon-Schrödinger equations
Dongdong Hu, Yayun Fu, Wenjun Cai +1
In this work, two novel classes of structure-preserving spectral Galerkin methods are proposed which based on the Crank-Nicolson scheme and the exponential scalar auxiliary variabl…
Linearly implicit energy-preserving integrating factor methods for the 2D nonlinear Schrödinger equation with wave operator and convergence analysis
Xuelong Gu, Wenjun Cai, Chaolong Jiang +1
In this paper, we develop a novel class of linear energy-preserving integrating factor methods for the 2D nonlinear Schrödinger equation with wave operator (NLSW), combining the sc…
Efficient energy-preserving exponential integrators for multi-components Hamiltonian systems
X. Gu, C. Jiang, Y. Wang +1
In this paper, we develop a framework to construct energy-preserving methods for multi-components Hamiltonian systems, combining the exponential integrator and the partitioned aver…
Arbitrary high-order linearly implicit energy-preserving algorithms for Hamiltonian PDEs
Yonghui Bo, Yushun Wang, Wenjun Cai
In this paper, we present a novel strategy to systematically construct linearly implicit energy-preserving schemes with arbitrary order of accuracy for Hamiltonian PDEs. Such novel…