Detail výsledku

Numerical Solution of Wave Equation Using Higher Order Methods

NEČASOVÁ, G.; KUNOVSKÝ, J.; ŠÁTEK, V. Numerical Solution of Wave Equation Using Higher Order Methods. In 15th International Conference of Numerical Analysis and Applied Mathematics. Thessaloniki: American Institute of Physics, 2017. p. 1-4. ISBN: 978-0-7354-1690-1.
Typ
článek ve sborníku konference
Jazyk
anglicky
Autoři
Nečasová Gabriela, Ing., Ph.D., UITS (FIT)
Kunovský Jiří, doc. Ing., CSc., UITS (FIT)
Šátek Václav, Ing., Ph.D., UITS (FIT)
Abstrakt

The paper deals with the numerical solution of partial differential equations (PDEs). The one-dimensional wave equation was chosen for experiments; it is solved using Method of Lines (MOL) which transforms the PDE into the system of ordinary differential equations (ODEs). The time domain remains continuous, and the Modern Taylor Series Method (MTSM) is used for solving the system of ODES. On the other hand, the space domain is discretized by higher order finite difference formulas. Higher order difference formulas can be unstable. The necessity of the variable precision arithmetic is discussed in this paper. The seven point difference formula is analysed as an example of higher order difference formulas.

Klíčová slova

PDE, ODE, Method of Lines, MTSM, difference formulas

URL
Rok
2017
Strany
1–4
Sborník
15th International Conference of Numerical Analysis and Applied Mathematics
Konference
ICNAAM 2017 - 15th International Conference on Numerical Analysis and Applied Mathematics in Thessaloniki
ISBN
978-0-7354-1690-1
Vydavatel
American Institute of Physics
Místo
Thessaloniki
DOI
10.1063/1.5043964
UT WoS
000445105400286
EID Scopus
2-s2.0-85049964608
BibTeX 
@inproceedings{BUT155785,
  author="Gabriela {Nečasová} and Jiří {Kunovský} and Václav {Šátek}",
  title="Numerical Solution of Wave Equation Using Higher Order Methods",
  booktitle="15th International Conference of Numerical Analysis and Applied Mathematics",
  year="2017",
  pages="1--4",
  publisher="American Institute of Physics",
  address="Thessaloniki",
  doi="10.1063/1.5043964",
  isbn="978-0-7354-1690-1",
  url="https://aip.scitation.org/doi/10.1063/1.5043964"
}
Projekty
Bezpečné a spolehlivé počítačové systémy, VUT, Vnitřní projekty VUT, FIT-S-17-4014, zahájení: 2017-03-01, ukončení: 2020-02-29, ukončen
IT4Innovations excellence in science, MŠMT, Národní program udržitelnosti II, LQ1602, zahájení: 2016-01-01, ukončení: 2020-12-31, ukončen
Výzkumné skupiny
Výzkumná skupina vysoce náročné výpočty (VZ HPC)
Pracoviště
Ústav inteligentních systémů (UITS)
Nahoru