4 papers
Some new results on generalized diagonally dominant matrices and matrix eigenvalue inclusion regions
Yongzhong Song
In matrix theory and numerical analysis there are two very famous and important results. One is Gersgorin circle theorem, the other is strictly diagonally dominant theorem. They ha…
On preconditioned AOR method for solving linear systems
Yongzhong Song
In this paper, we investigate the preconditioned AOR method for solving linear systems. We study two general preconditioners and propose some lower triangular, upper triangular and…
Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions
Wenjun Cai, Chaolong Jiang, Yushun Wang
This paper presents two kinds of strategies to construct structure-preserving algorithms with homogeneous Neumann boundary conditions for the sine-Gordon equation, while most exist…
A linearized and conservative Fourier pseudo-spectral method for the damped nonlinear Schrödinger equation in three dimensions
Chaolong Jiang, Yongzhong Song, Yushun Wang
In this paper, we propose a linearized Fourier pseudo-spectral method, which preserves the total mass and energy conservation laws, for the damped nonlinear Schrödinger equation in…