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Modelling and Data Analysis

Publisher: Moscow State University of Psychology and Education

ISSN (printed version): 2219-3758

ISSN (online): 2311-9454

DOI: https://doi.org/10.17759/mda

License: CC BY-NC 4.0

Started in 2011

Published 4 times a year

Free of fees
Open Access Journal

 

Modeling of Dynamic Systems With Interval Parameters 117

Morozov A.Y.
PhD in Physics and Matematics, Moscow, Russia

Reviznikov D.L.
Doctor of Physics and Matematics, Professor, Federal State-Financed Educational Institution of Higher Professional Education "Moscow aviation Institute (national research University)", Moscow, Russia
e-mail: reviznikov@gmail.com

Abstract
The paper provides a review of existing libraries and methods of modeling dynamic systems with interval parameters. Available software libraries AWA, VNODELP, COZY Infinity, RiOT, FlowStar, as well as the author’s adaptive interpolation algorithm are considered. The traditional software for interval analysis gives guaranteed estimates of solutions, however, over time, these estimates become extremely significantly overstated. Due to the use of a fundamentally different approach to constructing solutions, the adaptive interpolation algorithm is not subject to the accumulation of errors, determines the boundaries of solutions with controlled accuracy, and works much faster than analogues.

Keywords: interval methods, dynamic systems with interval parameters, adaptive interpolation algorithm, libraries with methods, AWA, VNODE, COSY Infi nity, RiOT, FlowStar, verifyode

Column: Mathematical Modelling

DOI: https://doi.org/10.17759/mda.2019090401

For Reference

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