Dongdong Hu

A fourth-order dissipation-preserving algorithm with fast implementation for space fractional nonlinear damped wave equations

Dongdong Hu, Wenjun Cai, Yongzhong Song et al. · Communications in Nonlinear Science and Numerical Simulation · 2020 · 33 citations

Numerical Analysis, Fractional-order System, Space Fractional Nonlinear +3

Fast dissipation-preserving difference scheme for nonlinear generalized wave equations with the integral fractional Laplacian

Dongdong Hu, Wenjun Cai, Yayun Fu et al. · Communications in Nonlinear Science and Numerical Simulation · 2021 · 19 citations

Numerical Analysis, Integral Fractional Laplacian, Fractional-order System +6

High-order structure-preserving algorithms for the multi-dimensional fractional nonlinear Schrödinger equation based on the SAV approach

Yayun Fu, Dongdong Hu, Yushun Wang · Mathematics and Computers in Simulation · 2020 · 18 citations

Numerical Analysis, Fractional-order System, High-order Structure-preserving Algorithms +2

Dissipation-preserving Fourier pseudo-spectral method for the space fractional nonlinear sine–Gordon equation with damping

Dongdong Hu, Wenjun Cai, Zhuangzhi Xu et al. · Mathematics and Computers in Simulation · 2021 · 17 citations

Spectral Theory, Numerical Analysis, Fourier Pseudo-spectral Method +5

Efficient energy preserving Galerkin–Legendre spectral methods for fractional nonlinear Schrödinger equation with wave operator

Dongdong Hu, Wenjun Cai, Xian‐Ming Gu et al. · Applied Numerical Mathematics · 2021 · 14 citations

Spectral Theory, Numerical Analysis, Galerkin–legendre Spectral Methods +7