14 citations · 37 across the 10 of their papers we have counts for
10 papers
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…
Hundreds of new satellites of figure-eight orbit computed with high precision
I. Hristov, R. Hristova, I. Puzynin +3
Satellites (topological powers) of the famous figure-eight orbit are special periodic solutions of the planar three-body problem. In this paper we use a modified Newton's method ba…
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…
On the efficient parallel computing of long term reliable trajectories for the Lorenz system
I. Hristov, R. Hristova, S. Dimova +6
In this work we propose an efficient parallelization of multiple-precision Taylor series method with variable stepsize and fixed order. For given level of accuracy the optimal vari…
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…
OpenMP parallelization of multiple precision Taylor series method
S. Dimova, I. Hristov, R. Hristova +5
OpenMP parallelization of multiple precision Taylor series method is proposed. A very good parallel performance scalability and parallel efficiency inside one computation node of a…