3 citations · 3 across the 4 of their papers we have counts for
Showing 2017Show all
2 papers · 1 filter
math.NA2017★ 3 cited
Lie group variational integrators for rigid body problems using quaternions
Xuefeng Shen, Melvin Leok
Rigid body dynamics on the rotation group have typically been represented in terms of rotation matrices, unit quaternions, or local coordinates, such as Euler angles. Due to the co…
math.NA2017
Geometric Exponential Integrators
Xuefeng Shen, Melvin Leok
In this paper, we consider exponential integrators for semilinear Poisson systems. Two types of exponential integrators are constructed, one preserves the Poisson structure, and th…