Detail výsledku

New Trends in Taylor Series Based Computations

KUNOVSKÝ, J.; ŠÁTEK, V.; KOCINA, F.; NEČASOVÁ, G.; MAREK, M.; SCHIRRER, A. New Trends in Taylor Series Based Computations. In 12th International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2015. no. 1648, p. 1-4. ISBN: 978-0-7354-1287-3. ISSN: 0094-243X.
Typ
článek ve sborníku konference
Jazyk
anglicky
Autoři
Kunovský Jiří, doc. Ing., CSc., UITS (FIT)
Šátek Václav, Ing., Ph.D., UITS (FIT)
Kocina Filip, Ing., Ph.D., UITS (FIT)
Nečasová Gabriela, Ing., Ph.D., UITS (FIT)
Marek Martin, Ing.
Schirrer Alexander, doc. Dr. Ing., FIT (FIT)
Abstrakt

The paper is a part of student cooperation in AKTION project (Austria-Czech) and concentrates on the numerical
solution of partial differential equations (PDEs) using high-order forward, backward and symmetrical formulas. As an
example, the hyperbolic PDE is analyzed. The paper is based on the numerical solution of ordinary differential equations
by the Taylor series method and on the simulation language TKSL that has been created to test the properties of the technical
initial problems and to test an algorithm for Taylor series method. The idea of parallel computations using special integrators
is also a part of the paper.

Klíčová slova

Ordinary Differential Equations, Taylor Series Method, TKSL, Partial Differential Equations

URL
Rok
2015
Strany
1–4
Časopis
AIP conference proceedings, roč. 2015, č. 1648, ISSN 0094-243X
Sborník
12th International Conference of Numerical Analysis and Applied Mathematics
Konference
12th International Conference of Numerical Analysis and Applied Mathematics
ISBN
978-0-7354-1287-3
Vydavatel
American Institute of Physics
Místo
Rhodes
DOI
10.1063/1.4913136
UT WoS
000355339705133
EID Scopus
2-s2.0-84939649102
BibTeX 
@inproceedings{BUT111516,
  author="Jiří {Kunovský} and Václav {Šátek} and Filip {Kocina} and Gabriela {Nečasová} and Martin {Marek} and Alexander {Schirrer}",
  title="New Trends in Taylor Series Based Computations",
  booktitle="12th International Conference of Numerical Analysis and Applied Mathematics",
  year="2015",
  journal="AIP conference proceedings",
  volume="2015",
  number="1648",
  pages="1--4",
  publisher="American Institute of Physics",
  address="Rhodes",
  doi="10.1063/1.4913136",
  isbn="978-0-7354-1287-3",
  issn="0094-243X",
  url="http://dx.doi.org/10.1063/1.3241449"
}
Projekty
Centrum excelence IT4Innovations, MŠMT, Operační program Výzkum a vývoj pro inovace, ED1.1.00/02.0070, zahájení: 2011-01-01, ukončení: 2015-12-31, ukončen
Spolehlivost a bezpečnost v IT, VUT, Vnitřní projekty VUT, FIT-S-14-2486, zahájení: 2014-01-01, ukončení: 2016-12-31, ukončen
Verifikace a optimalizace počítačových systémů, VUT, Vnitřní projekty VUT, FIT-S-12-1, zahájení: 2012-01-01, ukončení: 2014-12-31, ukončen
Výzkumné skupiny
Výzkumná skupina vysoce náročné výpočty (VZ HPC)
Pracoviště
Ústav inteligentních systémů (UITS)
Nahoru