Simulation of dynamical systems based on parallel numerical integration methods

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.