3 papers
math.NA2024
Sine-transform-based fast solvers for Riesz fractional nonlinear Schrödinger equations with attractive nonlinearities
Chao Chen, Xi Yang, Fei-Yan Zhang
This paper presents fast solvers for linear systems arising from the discretization of fractional nonlinear Schrödinger equations with Riesz derivatives and attractive nonlineariti…
math.NA2023
A fast normal splitting preconditioner for attractive coupled nonlinear Schrödinger equations with fractional Laplacian
Yan Cheng, Xi Yang
A linearly implicit conservative difference scheme is applied to discretize the attractive coupled nonlinear Schrödinger equations with fractional Laplacian. Complex symmetric line…
math.NA2023
Diagonal and normal with Toeplitz-block splitting iteration method for space fractional coupled nonlinear Schrödinger equations with repulsive nonlinearities
Fei-Yan Zhang, Xi Yang, Chao Chen
By applying the linearly implicit conservative difference scheme proposed in [D.-L. Wang, A.-G. Xiao, W. Yang. J. Comput. Phys. 2014;272:670-681], the system of repulsive space fra…