Songhe Song

Numerical analysis and applications of explicit high order maximum principle preserving integrating factor Runge-Kutta schemes for Allen-Cahn equation

Hong Zhang, Jingye Yan, Qian Xu et al. · Applied Numerical Mathematics · 2020 · 70 citations

Numerical Analysis, Method Of Fundamental Solution, Engineering +7

Symplectic wavelet collocation method for Hamiltonian wave equations

Huajun Zhu, Lingyan Tang, Songhe Song et al. · Journal of Computational Physics · 2009 · 55 citations

Hamiltonian Theory, Hamiltonian Wave Equations, Wavelet Theory +1

Multi-symplectic splitting method for the coupled nonlinear Schrödinger equation

Yaming Chen, Huajun Zhu, Songhe Song · Computer Physics Communications · 2010 · 50 citations

Nonlinear Wave Propagation, Multi-symplectic Splitting Method, Integrable System +1

Multi-symplectic wavelet collocation method for the nonlinear Schrödinger equation and the Camassa–Holm equation

Huajun Zhu, Songhe Song, Yifa Tang · Computer Physics Communications · 2010 · 46 citations

Camassa–holm Equation, Nonlinear Wave Propagation, Wavelet Theory +2

On the preserving of the maximum principle and energy stability of high-order implicit-explicit Runge-Kutta schemes for the space-fractional Allen-Cahn equation

Hong Zhang, Jingye Yan, Qian Xu et al. · Numerical Algorithms · 2021 · 43 citations

Numerical Analysis, Fractional-order System, Fractional Dynamic +6