Abstract: In this paper, we study the numerical simulation of stochastic differential equations (SDEs) on the special orthogonal Lie group . We propose a geometry-preserving numerical scheme based on ...

An object is moving counter-clockwise along a circle with the centre at the origin. At \(t=0\) the object is at point \(A(0,5)\) and at \(t=2\pi\) it is back to point \(A\) for the first time.