RUS  ENG
Full version
JOURNALS // Computer Research and Modeling // Archive

Computer Research and Modeling, 2009 Volume 1, Issue 2, Pages 127–136 (Mi crm630)

MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Tool for integration of heterogeneous models and its application to loosely coupled sets of differential equations

A. B. Korchak, A. V. Evdokimov

Moscow Institute of Physics and Technology (State University), Institutskii pereulok 9, 141700, Dolgoprudny, Moscow Region, Russia

Abstract: We develop the software tool for integration of dynamics models, which are inhomogeneous over mathematical properties and/or over requirements to the time step. The family of algorithms for the parallel computation of heterogeneous models with different time steps is offered. Analytical estimates and direct measurements of the error of these algorithms are made with reference to weakly coupled ODE sets. The advantage of the algorithms in the time cost as compared to accurate methods is shown.

Keywords: heterogeneous models, differential equations solving, parallel computation.

Received: 26.03.2008

DOI: 10.20537/2076-7633-2009-1-2-127-136



© Steklov Math. Inst. of RAS, 2024