https://doi.org/10.1140/epjc/s10052-015-3479-5
Regular Article - Theoretical Physics
A principal possibility for computer investigation of evolution of dynamical systems independent on time accuracy
1
SIA, Sapienza University of Rome, Rome, Italy
2
Center for Cosmology and Astrophysics, Alikhanian National Laboratory and Yerevan State University, Yerevan, Armenia
3
School of Mathematical Sciences, Monash University, Clayton, Australia
* e-mail: gurzadyan@yerphi.am
Received:
17
May
2015
Accepted:
23
May
2015
Published online:
9
June
2015
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.
© The Author(s), 2015
