English

Exact splitting methods for kinetic and Schr{\"o}dinger equations

Numerical Analysis 2020-01-01 v1 Numerical Analysis

Abstract

In [8], some exact splittings are proposed for inhomogeneous quadratic differential equations including, for example, transport equations, kinetic equations, and Schr{\"o}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.

Keywords

Cite

@article{arxiv.1912.13221,
  title  = {Exact splitting methods for kinetic and Schr{\"o}dinger equations},
  author = {Joackim Bernier and Nicolas Crouseilles and Yingzhe Li},
  journal= {arXiv preprint arXiv:1912.13221},
  year   = {2020}
}
R2 v1 2026-06-23T12:59:35.177Z