TY - JOUR
T1 - A principal possibility for computer investigation of evolution of dynamical systems independent on time accuracy
AU - Gurzadyan, Vahe G
AU - Harutyunyan, Vachagan V
AU - Kocharyan, Armen A
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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.
UR - http://link.springer.com/content/pdf/10.1140%2Fepjc%2Fs10052-015-3479-5.pdf
U2 - 10.1140/epjc/s10052-015-3479-5
DO - 10.1140/epjc/s10052-015-3479-5
M3 - Article
SN - 1434-6052
VL - 75
SP - 1
EP - 5
JO - European Physical Journal C
JF - European Physical Journal C
IS - 6
ER -