2 papers
nlin.CD2017
Are numerical theories irreplaceable? A computational complexity analysis
Nickolay Vasiliev, Dmitry Pavlov
It is widely known that numerically integrated orbits are more precise than analytical theories for celestial bodies. However, calculation of the positions of celestial bodies via…
cs.CC2017
The computational complexity of the initial value problem for the three body problem
N. N. Vasiliev, D. A. Pavlov
The paper is concerned with the computational complexity of the initial value problem (IVP) for a system of ordinary dynamical equations. Formal problem statement is given, contain…