Parallel solution of higher order differential equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F16%3A86098839" target="_blank" >RIV/61989100:27740/16:86098839 - isvavai.cz</a>
Alternative codes found
RIV/00216305:26230/16:PU122416
Result on the web
<a href="http://dx.doi.org/10.1109/HPCSim.2016.7568350" target="_blank" >http://dx.doi.org/10.1109/HPCSim.2016.7568350</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/HPCSim.2016.7568350" target="_blank" >10.1109/HPCSim.2016.7568350</a>

Result language
angličtina
Original language name
Parallel solution of higher order differential equations
Original language description
The paper focuses on a mathematical approach which uses Modern Taylor Series Method (MTSM) for solving differential equations in a parallel way. Even though this method is not much preferred in the literature, some experimental calculations have shown and verified that the accuracy and stability of the MTSM exceeds the currently used algorithms for solving differential equations. Further, the MTSM has properties suitable for parallel processing, i.e. many independent calculations. The MTSM allows these calculations to be performed independently on several processors using basic mathematical operations. Hardware representation of these operations and their principle are discussed in this paper. Generally, the MTSM can only solve systems of ordinary differential equations (ODEs) that are formed as initial value problems (IVPs). Therefore, this paper also presents methods for solving higher order differential equations, PDEs and their transformations to the corresponding systems of ODEs (IVPs). Effectiveness of hardware implementation of the MTSM is also discussed in this paper, e.g. implementation on FPGA. In many cases, the MTSM obtains results faster than the commonly used Runge-Kutta methods. (C) 2016 IEEE.
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 2016 International Conference on High Performance Computing & Simulation (HPCS 2016)
ISBN
978-1-5090-2088-1
ISSN
—
e-ISSN
—
Number of pages
8
Pages from-to
302-309
Publisher name
IEEE, 345 E 47TH ST, NEW YORK, NY 10017 USA
Place of publication
345 E 47TH ST, NEW YORK, NY 10017 USA
Event location
Innsbruck
Event date
Jul 18, 2016
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
000389590600042

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