5 citations · 9 across the 3 of their papers we have counts for
3 papers
math.NA2022★ 2 cited
A database of high precision trivial choreographies for the planar three-body problem
I. Hristov, R. Hristova, I. Puzynin +3
Trivial choreographies are special periodic solutions of the planar three-body problem. In this work we use a modified Newton's method based on the continuous analog of Newton's me…
nlin.CD2021★ 5 cited
Newton's method for computing periodic orbits of the planar three-body problem
I. Hristov, R. Hristova, I. Puzynin +3
In this paper we present in detail Newton's method and its modification, based on the Continuous analog of Newton's method for computing periodic orbits of the planar three-body pr…
cs.MS2020★ 2 cited
Parallelizing multiple precision Taylor series method for integrating the Lorenz system
I. Hristov, R. Hristova, S. Dimova +6
A hybrid MPI+OpenMP strategy for parallelizing multiple precision Taylor series method is proposed, realized and tested. To parallelize the algorithm we combine MPI and OpenMP para…