DOI: https://doi.org/10.15407/pp2018.02.054

Parallel algorithms for the solving both of non-linear systems and initial-value problems for systems of ordinary differential equations on multi-core computers with processors Intel Xeon Phi

T.O. Gerasimova, A.N. Nesterenko

Abstract


The paper deals with algorithms of methods for the solving both of non-linear systems (NLS) and initial-value problems for systems of ordinary differential equations (SODE) on multi-core computers. Times required for the solving of various order SNE and SODE are given; acceleration and performance coefficients characterizing the employment of methods being proposed are evaluated, as well.

 Problems in programming 2018; 2-3: 054-060


Keywords


multi-core computers; non-linear systems; initial-value problems for systems of ordinary differential equations

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References


Yakovlev, M.F. & Gerasymova, T.O. & Nesterenko, A.N. (2009) Characteristic features of the solving both of non-linear systems and systems of ordinary differential equations on parallel computers. In Proceedings of international symposium “Optimization problems of computations” (OPC – XXXV). Kyiv: V.M. Glushkov Institute of cybernetics of NAS of Ukraine, 2009. Kyiv: Vol. 2. P. 435–439.

Yakovlev, MV.F. & Nesterenko, A.N. & Brusnikin, V.N. (2014) Problems of the efficient solving of non-linear systems on multi-processor MIMD-architecture computers. Mathematical machines and systems. (4). P. 12–17.

Khimich, A.N. et al. (2008) Parallel algorithms for the solving of computational mathematics problems. Kiev: Naukova Dumka.

Nesterenko, A.N. & Khimich, A.N. & Yakovlev, M.F. (2006) To the problem of solving of non-linear systems on multi-processor distributed memory computing system. Gerald of computer and information technologies. 10. P. 54–56.

Khimich, A.N. & Yakovlev, M.F. & Gerasymova T.O. (2007) Some questions related to the solving of systems of ordinary differential equations on MIMD computers. Cybernetics and system analysis. (2). P. 175–182. https://doi.org/10.1007/s10559-007-0049-3




DOI: https://doi.org/10.15407/pp2018.02.054

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