7 papers
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…
Explicit high-order energy-preserving methods for general Hamiltonian partial differential equations
Chaolong Jiang, Yushun Wang, Yuezheng Gong
A novel class of explicit high-order energy-preserving methods are proposed for general Hamiltonian partial differential equations with non-canonical structure matrix. When the ene…
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…