Exact splitting methods for kinetic and Schrödinger equations

12/31/2019

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by   Joackim Bernier, et al.

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In [8], some exact splittings are proposed for inhomogeneous quadratic differential equations including, for example, transport equations, kinetic equations, and Schrödinger 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.