Conference paper

KOCINA Filip, KUNOVSKÝ Jiří, MAREK Martin, NEČASOVÁ Gabriela, SCHIRRER Alexander and ŠÁTEK Václav. New Trends in Taylor Series Based Computations. In: 12th International Conference of Numerical Analysis and Applied Mathematics. Rhodes: American Institute of Physics, 2015, pp. 1-4. ISBN 978-0-7354-1287-3. ISSN 0094-243X. Available from: http://dx.doi.org/10.1063/1.3241449
Publication language:english
Original title:New Trends in Taylor Series Based Computations
Title (cs):Nové trendy ve výpočtech s využitím Taylorovy řady
Pages:1-4
Proceedings:12th International Conference of Numerical Analysis and Applied Mathematics
Conference:12th International Conference of Numerical Analysis and Applied Mathematics
Place:Rhodes, GR
Year:2015
URL:http://dx.doi.org/10.1063/1.3241449
ISBN:978-0-7354-1287-3
Journal:AIP Conference Proceedings - American Institute of Physics, Vol. 2015, No. 1648, US
ISSN:0094-243X
Publisher:American Institute of Physics
Keywords
Ordinary Differential Equations, Taylor Series Method, TKSL, Partial Differential Equations
Annotation
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.
BibTeX:
@INPROCEEDINGS{
   author = {Filip Kocina and Ji{\v{r}}{\'{i}} Kunovsk{\'{y}} and Martin
	Marek and Gabriela Ne{\v{c}}asov{\'{a}} and Alexander
	Schirrer and V{\'{a}}clav {\v{S}}{\'{a}}tek},
   title = {New Trends in Taylor Series Based Computations},
   pages = {1--4},
   booktitle = {12th International Conference of Numerical Analysis and
	Applied Mathematics},
   journal = {AIP Conference Proceedings - American Institute of Physics},
   volume = {2015},
   number = {1648},
   year = {2015},
   location = {Rhodes, GR},
   publisher = {American Institute of Physics},
   ISBN = {978-0-7354-1287-3},
   ISSN = {0094-243X},
   language = {english},
   url = {http://www.fit.vutbr.cz/research/view_pub.php?id=10496}
}

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