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http://arxiv.org/pdf/1611.0867...
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arXiv.org e-Print Archive
Preprint . 2016
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https://doi.org/10.1109/synasc...
Article . 2016 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2016
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Parallel Simulations for Fractional-Order Systems

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Conference object 01 Sep 2016Embargo end date: 01 Nov 2016Publisher:IEEEJournal:2016 18th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)
Authors: Andrada Baban; Cosmin Bonchis; Alexandru Fikl; Florin Rosu;

doi: 10.1109/synasc.2016.033 , 10.48550/arxiv.1611.08678

arXiv: 1611.08678

Parallel Simulations for Fractional-Order Systems

Abstract

In this paper, we explore how numerical calculations can be accelerated by implementing several numerical methods of fractional-order systems using parallel computing techniques. We investigate the feasibility of parallel computing algorithms and their efficiency in reducing the computational costs over a large time interval. Particularly, we present the case of Adams-Bashforth-Mouhlton predictor-corrector method and measure the speedup of two parallel approaches by using GPU and HPC cluster implementations.

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Keywords

FOS: Mathematics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems

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    popularity
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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Top 10%
Average
Green