Spectrally accurate space-time solution of Manakov systems
Numerical Analysis
2020-06-16 v3 Numerical Analysis
Abstract
In this paper, we study the numerical solution of Manakov systems by using a spectrally accurate Fourier decomposition in space, coupled with a spectrally accurate time integration. This latter relies on the use of spectral Hamiltonian boundary Value Methods. The used approach allows to conserve all the physical invariants of the systems. Some numerical tests are reported.
Keywords
Cite
@article{arxiv.1910.06040,
title = {Spectrally accurate space-time solution of Manakov systems},
author = {Luigi Barletti and Luigi Brugnano and Yifa Tang and Beibei Zhu},
journal= {arXiv preprint arXiv:1910.06040},
year = {2020}
}
Comments
29 pages (typo in equation (20) fixed)