Asymptotic consistent exponential-type integrators for Klein-Gordon-Schrödinger systems from relativistic to non-relativistic regimes

Pub Date : 2018-03-26 DOI:10.1553/ETNA_VOL48S63
Simon Baumstark, Georgia Kokkala, Katharina Schratz
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引用次数: 5

Abstract

In this paper we propose asymptotic consistent exponential-type integrators for the Klein-Gordon-Schrodinger system. This novel class of integrators allows us to solve the system from slowly varying relativistic up to challenging highly oscillatory non-relativistic regimes without any step size restriction. In particular, our first- and second-order exponential-type integrators are asymptotically consistent in the sense of asymptotically converging to the corresponding decoupled free Schrodinger limit system.
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从相对论到非相对论的Klein-Gordon-Schrödinger系统的渐近一致指数型积分器
本文提出了Klein-Gordon薛定谔系统的渐近一致指数型积分器。这类新型积分器使我们能够在没有任何步长限制的情况下求解从缓慢变化的相对论性到具有挑战性的高振荡非相对论性系统。特别地,我们的一阶和二阶指数型积分器在渐近收敛到相应的解耦自由薛定谔极限系统的意义上是渐近一致的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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