A PARALLEL MULTIRATE ALGORITHM FOR THE NUMERICAL INTEGRATION OF SYSTEM OF NONLINEAR DIFFERENTIAL EQUATIONS

Authors

  • Petro Stakhiv
  • Serhiy Rendzinyak

DOI:

https://doi.org/10.47839/ijc.4.1.322

Keywords:

Parallel algorithm, multirate method, large-scale systems, nonlinear differential equations

Abstract

The new approach to calculate dynamic behavior of large-scale systems, separated on subsystems is presented. Parallelization efficiency of computing process is described.

References

D. Petcu, Parallelism in solving ordinary differential equations, Mathematical Monographs 64, Tipografia Universitatii din Timisoara, 1998, p. 232.

S.Y. Rendzinyak, Efficiency analysis of subcircuit methods of transitional process simulation on some large-scale radio electronic circuits (in Russian), Teoreticheskaya elektrotekhnika, Vol. 40, (1986), pp. 139–143.

P.H. Stakhiv, S.Y. Rendzinyak, P.R. Strubytskyy, Stability of numerical scheme of diakoptic methods of time-domain modeling of large-scale circuits (in Ukrainian), Electronika i sviaz, 1, 3, Vol. 1, (1997), pp. 188–195.

Petro Stakhiv, Serhiy Rendzinyak, Bohdan Krupskyy, Parallelization of Diakoptic Methods for Multiprocessor Computing Systems. Bull. Pol. Ac.: Tech., Vol. 51, No. 3 (2003), pp. 381-394.

K.V. Kharchenko, Modification of paralleling block–diagonal solution methods of linear systems of equations for applying to CAD electronic circuits (in Ukrainian), Electronika i sviaz, 1, 6, (1999), pp. 156–162.

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Published

2014-08-01

How to Cite

Stakhiv, P., & Rendzinyak, S. (2014). A PARALLEL MULTIRATE ALGORITHM FOR THE NUMERICAL INTEGRATION OF SYSTEM OF NONLINEAR DIFFERENTIAL EQUATIONS. International Journal of Computing, 4(1), 34-41. https://doi.org/10.47839/ijc.4.1.322

Issue

2005, Volume 4, Issue 1

Section

Articles

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