Zobrazeno 1 - 10
of 236
pro vyhledávání: '"Hristov, I."'
Publikováno v:
Numerical Methods and Applications. NMA 2022. Lecture Notes in Computer Science, vol 13858. Springer, Cham
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 method and a high precision arithmetic for a specialized numerical searc
Externí odkaz:
http://arxiv.org/abs/2210.00594
Publikováno v:
CEUR Workshop Proceedings, vol-3191, pp. 45-50 (2022)
In this paper we use a Modified Newton's method based on the Continuous analog of Newton's method and high precision arithmetic for a general numerical search of periodic orbits for the planar three-body problem. We consider relatively short periods
Externí odkaz:
http://arxiv.org/abs/2205.14709
Publikováno v:
AIP Conf. Proc. 2953, 070003 (2023)
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 based on the Continuous analog of Newton's method and high precision ari
Externí odkaz:
http://arxiv.org/abs/2203.02793
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 problem. The linear system at each step of the method is formed by solvi
Externí odkaz:
http://arxiv.org/abs/2111.10839
Autor:
Hristov, I., Hristova, R., Dimova, S., Armyanov, P., Shegunov, N., Puzynin, I., Puzynina, T., Sharipov, Z., Tukhliev, Z.
Publikováno v:
CEUR Workshop Proceedings, vol-2933, pp. 78-88 (2021)
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 variable stepsize determines higher order of the method than in the case o
Externí odkaz:
http://arxiv.org/abs/2101.06682
Autor:
Hristov, I., Hristova, R., Dimova, S., Armyanov, P., Shegunov, N., Puzynin, I., Puzynina, T., Sharipov, Z., Tukhliev, Z.
Publikováno v:
Advanced Computing in Industrial Mathematics. BGSIAM 2020. Studies in Computational Intelligence, vol 1076. Springer, Cham
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 parallel technologies together with GMP library (GNU miltiple precision li
Externí odkaz:
http://arxiv.org/abs/2010.14993
Autor:
Dimova, S., Hristov, I., Hristova, R., Puzynin, I., Puzynina, T., Sharipov, Z., Shegunov, N., Tukhliev, Z.
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 CPU-cluster is observed. We explain the details of the parallelizatio
Externí odkaz:
http://arxiv.org/abs/1908.09301
Autor:
Mavrudiev, P.1 petkomavrudiev@gmail.com, Hristov, I.2
Publikováno v:
Trakia Journal of Sciences. 2023, Vol. 21 Issue 2, p133-137. 5p.
Autor:
Mavrudiev, P.1 petkomavrudiev@gmail.com, Hristov, I.2
Publikováno v:
Trakia Journal of Sciences. 2023, Vol. 21 Issue 2, p127-132. 6p.