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

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED

Electronic Transactions on Numerical Analysis 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

摘要

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

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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来源期刊

Electronic Transactions on Numerical Analysis 数学-应用数学

CiteScore

2.10

自引率

7.70%

发文量

审稿时长

6 months

期刊介绍： Electronic Transactions on Numerical Analysis (ETNA) is an electronic journal for the publication of significant new developments in numerical analysis and scientific computing. Papers of the highest quality that deal with the analysis of algorithms for the solution of continuous models and numerical linear algebra are appropriate for ETNA, as are papers of similar quality that discuss implementation and performance of such algorithms. New algorithms for current or new computer architectures are appropriate provided that they are numerically sound. However, the focus of the publication should be on the algorithm rather than on the architecture. The journal is published by the Kent State University Library in conjunction with the Institute of Computational Mathematics at Kent State University, and in cooperation with the Johann Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences (RICAM).