3 papers
math.NA2020
Mass- and energy-preserving exponential Runge-Kutta methods for the nonlinear Schrödinger equation
Jin Cui, Zhuangzhi Xu, Yushun Wang +1
In this paper, a family of arbitrarily high-order structure-preserving exponential Runge-Kutta methods are developed for the nonlinear Schrödinger equation by combining the scalar…
math.NA2020
Arbitrarily high-order structure-preserving schemes for the Gross-Pitaevskii equation with angular momentum rotation in three dimensions
Jin Cui, Yushun Wang, Chaolong Jiang
In this paper, we design a novel class of arbitrarily high-order structure-preserving numerical schemes for the time-dependent Gross-Pitaevskii equation with angular momentum rotat…
math.NA2019
A novel linearized and momentum-preserving Fourier pseudo-spectral scheme for the Rosenau-Korteweg de Vries equation
Chaolong Jiang, Jin Cui, Wenjun Cai +1
In this paper, we design a novel linearized and momentum-preserving Fourier pseudo-spectral scheme to solve the Rosenau-Korteweg de Vries equation. With the aid of a new semi-norm…