56 citations · 63 across the 4 of their papers we have counts for
4 papers
Partitioned AVF methods
Wenjun Cai, Haochen Li, Yushun Wang
The classic second-order average vector field (AVF) method can exactly preserve the energy for Hamiltonian ordinary differential equations and partial differential equations. Howev…
A Novel Sixth Order Energy-Conserved Method for Three-Dimensional Time-Domain Maxwell's Equations
Chaolong Jiang, Wenjun Cai, Yushun Wang +1
In this paper, a novel sixth order energy-conserved method is proposed for solving the three-dimensional time-domain Maxwell's equations. The new scheme preserves five discrete ene…
Discrete line integral method for the Lorentz force system
Haochen Li, Yushun Wang
In this paper, we apply the Boole discrete line integral to solve the Lorentz force system which is written as a non-canonical Hamiltonian system. The method is exactly energy-cons…
A sixth order averaged vector field method
Haochen Li, Yushun Wang, Mengzhao Qin
In this paper, based on the theory of rooted trees and B-series, we propose the concrete formulas of the substitution law for the trees of order =5. With the help of the new substi…