12 papers · 1 filter
High-order multi-structures-preserving exponential integrators for the derivative nonlinear Schrödinger equation
Liping Wu, Li Yang, Chaolong Jiang
This paper presents a novel class of high-order mass-, energy- and momentum-preserving exponential integrators for solving the derivative nonlinear Schrödinger equation. Firstly, w…
High-order structure-preserving schemes for the regularized logarithmic Schrödinger equation
Fan Yang, Zhida Zhou, Chaolong Jiang
In this paper, a novel high-order, mass and energy-conserving scheme is proposed for the regularized logarithmic Schrödinger equation(RLogSE). Based on the idea of the supplementar…
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…
Efficient energy-preserving exponential integrators for multi-components Hamiltonian systems
X. Gu, C. Jiang, Y. Wang +1
In this paper, we develop a framework to construct energy-preserving methods for multi-components Hamiltonian systems, combining the exponential integrator and the partitioned aver…
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…
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…