105 citations · 249 across the 20 of their papers we have counts for
7 papers · 1 filter
Two novel classes of arbitrary high-order structure-preserving algorithms for canonical Hamiltonian systems
Yonghui Bo, Wenjun Cai, Yushun Wang
In this paper, we systematically construct two classes of structure-preserving schemes with arbitrary order of accuracy for canonical Hamiltonian systems. The one class is the symp…
A structure-preserving algorithm for the fractional nonlinear Schrödinger equation based on the SAV approach
Yayun Fu, Wenjun Cai, Yushun Wang
The main objective of this paper is to present an efficient structure-preserving scheme, which is based on the idea of the scalar auxiliary variable approach, for solving the space…
A linearly implicit structure-preserving scheme for the fractional sine-Gordon equation based on the IEQ approach
Yayun Fu, Wenjun Cai, Yushun Wang
This paper aims to develop a linearly implicit structure-preserving numerical scheme for the space fractional sine-Gordon equation, which is based on the newly developed invariant…
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…