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KUNOVSKÝ, J. KRAUS, M. ŠÁTEK, V. KALUŽA, V.
Originální název
Accuracy and Word Width in TKSL
Typ
článek ve sborníku mimo WoS a Scopus
Jazyk
angličtina
Originální abstrakt
Homogeneous differential equations with constant coefficients are analysed in the paper to show how extremely high accuracy and speed of computations can be obtained using Taylor series for numerical solutions of differential equations. Two examples of homogeneous differential equations and their solutions by the Modern Taylor Series Method will be analysed in this paper. The main idea behind the Modern Taylor Series Method is an automatic integration method order setting, i.e. using as many Taylor series terms for computing as needed to achieve the required accuracy. The Modern Taylor Series Method used in the computations increases the method order automatically, i.e. the values of the Taylor series terms are computed for increasing integer values of p until adding the next term does not improve the accuracy of the solution.
Klíčová slova
differential equation, Taylor series, TKSL, word width
Autoři
KUNOVSKÝ, J.; KRAUS, M.; ŠÁTEK, V.; KALUŽA, V.
Rok RIV
2008
Vydáno
8. 9. 2008
Nakladatel
IEEE Computer Society
Místo
Liverpool
ISBN
978-0-7695-3325-4
Kniha
Second UKSIM European Symposium on Computer Modeling and Simulation
Strany od
153
Strany do
158
Strany počet
6
BibTex
@inproceedings{BUT32114, author="Jiří {Kunovský} and Michal {Kraus} and Václav {Šátek} and Vlastimil {Kaluža}", title="Accuracy and Word Width in TKSL", booktitle="Second UKSIM European Symposium on Computer Modeling and Simulation", year="2008", pages="153--158", publisher="IEEE Computer Society", address="Liverpool", isbn="978-0-7695-3325-4" }