Detail publikačního výsledku

Taylor Series Based Differential Formulas

NEČASOVÁ, G.; KUNOVSKÝ, J.; ŠÁTEK, V.; CHALOUPKA, J.; VEIGEND, P.

Original Title

Taylor Series Based Differential Formulas

English Title

Taylor Series Based Differential Formulas

Type

Paper in proceedings (conference paper)

Original Abstract

The paper is a part of student cooperation in AKTION project (Austria-Czech) and concentrates on numerical computations using high-order forward, backward and symmetrical formulas. As an example, the hyperbolic PDE is analyzed, together with multiple integral computations. A multiple integral of a continuous function of n variables can be computed by n-ary integration of the function fixing the remaining variables.

English abstract

The paper is a part of student cooperation in AKTION project (Austria-Czech) and concentrates on numerical computations using high-order forward, backward and symmetrical formulas. As an example, the hyperbolic PDE is analyzed, together with multiple integral computations. A multiple integral of a continuous function of n variables can be computed by n-ary integration of the function fixing the remaining variables.

Keywords

Di erential equations, Multiple integrals, Taylor series method, Partial Di erential Equations

Key words in English

Di erential equations, Multiple integrals, Taylor series method, Partial Di erential Equations

Authors

NEČASOVÁ, G.; KUNOVSKÝ, J.; ŠÁTEK, V.; CHALOUPKA, J.; VEIGEND, P.

RIV year

2016

Released

18.02.2015

Publisher

ARGE Simulation News

Location

Vienna

ISBN

978-3-901608-46-9

Book

MATHMOD VIENNA 2015 - 8th Vienna Conference on Mathematical Modelling

Edition

ARGESIM REPORT No. 44

Pages from

705

Pages to

706

Pages count

2

URL

http://www.scopus.com/record/display.uri?eid=2-s2.0-84954135997&origin=resultslist&sort=plf-f&src=s&st1=satek&st2=&sid=48BB54244E7021166FCB6A0794EA66EC.f594dyPDCy4K3aQHRor6A%3a20&sot=b&sdt=b&sl=18&s=AUTHOR-NAME%28satek%29&relpos=0&citeCnt=0&searchTerm=

Full text in the Digital Library

http://hdl.handle.net/

BibTex

@inproceedings{BUT119795,
  author="Gabriela {Nečasová} and Jiří {Kunovský} and Václav {Šátek} and Jan {Chaloupka} and Petr {Veigend}",
  title="Taylor Series Based Differential Formulas",
  booktitle="MATHMOD VIENNA 2015 - 8th Vienna Conference on Mathematical Modelling",
  year="2015",
  series="ARGESIM REPORT No. 44",
  pages="705--706",
  publisher="ARGE Simulation News",
  address="Vienna",
  doi="10.1016/j.ifacol.2015.05.209",
  isbn="978-3-901608-46-9",
  url="http://www.scopus.com/record/display.uri?eid=2-s2.0-84954135997&origin=resultslist&sort=plf-f&src=s&st1=satek&st2=&sid=48BB54244E7021166FCB6A0794EA66EC.f594dyPDCy4K3aQHRor6A%3a20&sot=b&sdt=b&sl=18&s=AUTHOR-NAME%28satek%29&relpos=0&citeCnt=0&searchTerm="
}

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