Simulation of dynamical systems based on parallel numerical integration methods

Author

Butusov, D.N. ; Ostrovskii, V.Y. ; Tutueva, A.V.

Author_Institution

Dept. of Comput.-Aided Design, St.-Petersburg Electrotech. Univ., St. Petersburg, Russia

fYear

2015

fDate

2-4 Feb. 2015

Firstpage

56

Lastpage

59

Abstract

This paper discusses the new class of ordinary differential equations solvers, based on parallel methods of numerical integration. The application problems of such methods are described for a case of dynamical systems computer simulation. The algorithms of parallel ODE integration methods and the series of computational experiments in NI LabVIEW development system are represented. An evaluation of computational efficiency of the obtained parallel method modifications is provided, compared with the classical Runge-Kutta methods.

Keywords

Runge-Kutta methods; differential equations; digital simulation; integration; parallel processing; NI LabVIEW development system; Runge-Kutta method; computational efficiency; computational experiment; dynamical systems computer simulation; ordinary differential equations solver; parallel ODE integration method; parallel method modification; parallel numerical integration method; Trajectory; ODE solver; dynamical system; numeric integration; parallel computing; simulation;

fLanguage

English

Publisher

ieee

Conference_Titel

Young Researchers in Electrical and Electronic Engineering Conference (EIConRusNW), 2015 IEEE NW Russia

Conference_Location

St. Petersburg

Print_ISBN

978-1-4799-7305-7

Type

conf

DOI

10.1109/EIConRusNW.2015.7102231

Filename

7102231