A principal possibility for computer investigation of evolution of dynamical systems independent on time accuracy
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.
- Publication:
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European Physical Journal C
- Pub Date:
- June 2015
- DOI:
- 10.1140/epjc/s10052-015-3479-5
- arXiv:
- arXiv:1505.06741
- Bibcode:
- 2015EPJC...75..252G
- Keywords:
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- Astrophysics - Instrumentation and Methods for Astrophysics;
- Astrophysics - Astrophysics of Galaxies;
- Physics - Computational Physics
- E-Print:
- Eur Phys Journ C (in press), to match the version to appear, 7 pages, 3 figs