A new framework for solving partial differential equations using semi-analytical explicit RK(N)-type integrators. - Xinyuan Wu; Changying Liu; Lijie Mei (J. Comput. Appl. Math., 2016)

The construction of arbitrary order ERKN methods based on group theory for solving oscillatory Hamiltonian systems with applications. - Lijie Mei; Xinyuan Wu (J. Comput. Phys., 2016)

Symplectic exponential Runge-Kutta methods for solving nonlinear Hamiltonian systems. - Lijie Mei; Xinyuan Wu (J. Comput. Phys., 2017)

Reliability of Lyapunov characteristic exponents computed by the two-particle method. - Lijie Mei; Li Huang (Comput. Phys. Commun., 2018)

Semi-analytical exponential RKN integrators for efficiently solving high-dimensional nonlinear wave equations based on FFT techniques. - Lijie Mei; Li Huang; Xinyuan Wu; Shixiang Huang (Comput. Phys. Commun., 2019)

Exponential integrators with quadratic energy preservation for linear Poisson systems. - Lijie Mei; Li Huang; Shixiang Huang (J. Comput. Phys., 2019)

Energy-preserving exponential integrators of arbitrarily high order for conservative or dissipative systems with highly oscillatory solutions. - Lijie Mei; Li Huang; Xinyuan Wu (J. Comput. Phys., 2021)

Oscillation-preserving algorithms for efficiently solving highly oscillatory second-order ODEs. - Xinyuan Wu; Bin Wang 016; Lijie Mei (Numer. Algorithms, 2021)

A unified framework for the study of high-order energy-preserving integrators for solving Poisson systems. - Lijie Mei; Li Huang; Xinyuan Wu (J. Comput. Phys., 2022)

Energy-Preserving Continuous-Stage Exponential Runge-Kutta Integrators for Efficiently Solving Hamiltonian Systems. - Lijie Mei; Li Huang; Xinyuan Wu (SIAM J. Sci. Comput., 2022)

Embedded exponential Runge-Kutta-Nyström methods for highly oscillatory Hamiltonian systems. - Lijie Mei; Yunbo Yang; Xiaohua Zhang; Yaolin Jiang (J. Comput. Phys., 2024)

A family of second-order time stepping methods for a nonlinear fluid-fluid interaction model. - Yiru Chen; Yun-Bo Yang; Lijie Mei (Comput. Math. Appl., 2025)

Unconditionally stable explicit exponential methods for the Klein-Gordon-Schrödinger equations. - Lijie Mei; Xiangqing Liu; Yaolin Jiang (J. Comput. Phys., 2025)

The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems. - Lijie Mei; Xinyuan Wu; Yaolin Jiang (CoRR, 2025)