OpenMP parallelization of multiple precision Taylor series method

• DOI: 10.48550/arxiv.1908.09301
• Publication Date: 2019-01-01
• Authors: Dimova, S.; Hristov, I.; Hristova, R.; Puzynin, I.; Puzynina, T.; Sharipov, Z.; Shegunov, N.; Tukhliev, Z.
• Keywords: FOS: Computer and information sciences; FOS: Mathematics; Computer Science - Mathematical Software; Dynamical Systems (math.DS); Mathematics - Dynamical Systems; 01 natural sciences; Mathematical Software (cs.MS); 0105 earth and related environmental sciences

8 pages, 3 figures<br/>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.<br/>