2 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.AP2019
Optimal error estimate of a conservative Fourier pseudo-spectral method for the space fractional nonlinear Schrödinger equation
Zhuangzhi Xu, Wenjun Cai, Chaolong Jiang +1
In this paper, we consider the error analysis of a conservative Fourier pseudo-spectral method that conserves mass and energy for the space fractional nonlinear Schrödinger equatio…