Exact splitting methods for kinetic and Schr{ö}dinger equations

Abstract

In [8], some exact splittings are proposed for inhomogeneous quadratic differential equations including, for example, transport equations, kinetic equations, and Schr{ö}dinger type equations with a rotation term. In this work, these exact splittings are combined with pseudo-spectral methods in space to illustrate their high accuracy and efficiency.

References in corpus (3)

• An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates
• Tunnel effect for Kramers-Fokker-Planck type operators
• Splitting methods for Fourier spectral discretizations of the strongly magnetized Vlasov-Poisson and the Vlasov-Maxwell system