105 citations · 192 across the 20 of their papers we have counts for
5 papers · 1 filter
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…
A linearly implicit energy-preserving exponential integrator for the nonlinear Klein-Gordon equation
Chaolong Jiang, Yushun Wang, Wenjun Cai
In this paper, we generalize the exponential energy-preserving integrator proposed in the recent paper [SIAM J. Sci. Comput. 38(2016) A1876-A1895] for conservative systems, which n…
A linearly implicit structure-preserving scheme for the Camassa-Holm equation based on multiple scalar auxiliary variables approach
Chaolong Jiang, Yuezheng Gong, Wenjun Cai +1
In this paper, we present a linearly implicit energy-preserving scheme for the Camassa-Holm equation by using the multiple scalar auxiliary variables approach, which is first devel…
Arbitrarily high-order energy-preserving schemes for the Camassa-Holm equation
Chaolong Jiang, Yushun Wang, Yuezheng Gong
In this paper, we develop a novel class of arbitrarily high-order energy-preserving schemes for the Camassa-Holm equation. With the aid of the invariant energy quadratization appro…
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…