A principal possibility for computer investigation of evolution of dynamical systems with independent on time accuracy
Instrumentation and Methods for Astrophysics
2018-11-05 v2 Astrophysics of Galaxies
Computational Physics
Abstract
Extensive N-body simulations are among the key means for the study of numerous astrophysical and cosmological phenomena, so various schemes are developed for possibly higher accuracy computations. We demonstrate the principal possibility for revealing the evolution of a perturbed Hamiltonian system with an accuracy independent on time. The method is based on the Laplace transform and the derivation and analytical solution of an evolution equation in the phase space for the resolvent and using computer algebra.
Keywords
Cite
@article{arxiv.1505.06741,
title = {A principal possibility for computer investigation of evolution of dynamical systems with independent on time accuracy},
author = {V. G. Gurzadyan and V. V. Harutyunyan and A. A. Kocharyan},
journal= {arXiv preprint arXiv:1505.06741},
year = {2018}
}
Comments
Eur Phys Journ C (in press), to match the version to appear, 7 pages, 3 figs