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OpenMP parallelization of multiple precision Taylor series method

Mathematical Software 2019-08-27 v1 Dynamical Systems

Abstract

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 parallelization on the classical example of the Lorentz equations. The same approach can be applied straightforwardly to a large class of chaotic dynamical systems.

Keywords

Cite

@article{arxiv.1908.09301,
  title  = {OpenMP parallelization of multiple precision Taylor series method},
  author = {S. Dimova and I. Hristov and R. Hristova and I. Puzynin and T. Puzynina and Z. Sharipov and N. Shegunov and Z. Tukhliev},
  journal= {arXiv preprint arXiv:1908.09301},
  year   = {2019}
}

Comments

8 pages, 3 figures