105 citations · 249 across the 20 of their papers we have counts for
20 papers
Explicit and CPU/GPU parallel energy-preserving schemes for the Klein-Gordon-Schrödinger equations
Xuelong Gu, Yushun Wang, Ziyu Wu +2
A highly efficient energy-preserving scheme for univariate conservative or dissipative systems was recently proposed in [Comput. Methods Appl. Mech. Engrg. 425 (2024) 116938]. This…
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…
On Mixing Distributions Via Random Orthogonal Matrices and the Spectrum of the Singular Values of Multi-Z Shaped Graph Matrices
Wenjun Cai, Aaron Potechin
In this paper, we introduce and analyze a new operation which mixes two distributions and via a random orthogonal matrix. In particular, we take …