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Multirate numerical scheme for large-scale vehicle traffic simulation

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Multirate numerical scheme for large-scale vehicle traffic simulation

Content Provider	Springer Nature Link
Author	Kurtc, V. V. Anufriev, I. E.
Copyright Year	2016
Abstract	In modeling vehicular traffic on large scales in large cities, the number of vehicles could reach tens of thousands, which, for the microscopic approach, corresponds to the solution of ordinary differential equations (ODEs) with large dimensions. The speed of changes in the size of the components of such systems usually lies in a wide range, as the dynamics and behavior of the vehicles can strongly differ. In this paper we introduce a multirate numerical scheme with a self-adjusting time stepping strategy. Instead of using a single step size for the whole system, the step size for each component is determined by estimating its own local variation. The stability analysis for the developed scheme is performed and the stability conditions are obtained. The presented multirate scheme provides a significant speed-up in the CPU times compared to the corresponding single-rate one. The use of multiple time steps allows parallel computing.
Starting Page	744
Ending Page	751
Page Count	8
File Format	PDF
ISSN	20700482
Journal	Mathematical Models and Computer Simulations
Volume Number	8
Issue Number	6
e-ISSN	20700490
Language	English
Publisher	Pleiades Publishing
Publisher Date	2016-11-13
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	multirate time stepping a priori estimates stability citywide microscopic traffic simulation ordinary differential equations (ODEs) Mathematical Modeling and Industrial Mathematics Simulation and Modeling
Content Type	Text
Resource Type	Article
Subject	Modeling and Simulation Computational Mathematics

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