Exact splitting methods for kinetic and Schrödinger equations

2019/12/31 by Joackim Berniér, Bernier, Joackim, Crouseilles, Nicolas +3 · 2 citations
Mathematics · Physics and Astronomy · #Numerical methods for differential equations #Advanced Mathematical Physics Problems #Spectroscopy and Quantum Chemical Studies

paper · pdf · doi:10.48550/arxiv.1912.13221

Abstract

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.

Cited by

• Exact splitting methods for semigroups generated by inhomogeneous quadratic differential operators
• Efficient and stable diffusion generated methods for ground state computation in Bose--Einstein condensates

Related

• Exact splitting methods for semigroups generated by inhomogeneous quadratic differential operators
• Splitting Methods for differential equations
• Uniformly accurate time-splitting methods for the semiclassical Schrödinger equation Part 1 : Construction of the schemes and simulations
• Systematic Improvement of Splitting Methods for the Hamilton Equations
• Spectral Methods in PDE