Exact Splitting Methods for Kinetic and Schrödinger Equations

In (Bernier in Exact splitting methods for semigroups generated by inhomogeneous quadratic differential operators. arXiv:1912.13219 , (2019)), some exact splittings are proposed equations including, example, transport equations, Fokker–Planck and Schrödinger type with an angular momentum rotation term. this work, these used combined pseudo-spectral space. High accuracy efficiency of illustrated comparison performed the numerical literature. We show that our can be to improve significantly classical nonlinear or non-quadratic equations.