Conference paper

KOCINA Filip, ŠÁTEK Václav, VEIGEND Petr, NEČASOVÁ Gabriela, VALENTA Václav and KUNOVSKÝ Jiří. New Trends in Taylor Series Based Applications. In: 13rd 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: https://www.scopus.com/record/display.uri?eid=2-s2.0-84984560484&origin=resultslist&sort=plf-f&src=s&st1=New+Trends+in+Taylor+Series+Based+Applications&st2=&sid=124ED7E8734090D5B21AEE9C5813DCB8.FZg2ODcJC9ArCe8WOZPvA%3a10&sot=b&sdt=b&sl=53&s=TITLE%28New+Tr
Publication language:english
Original title:New Trends in Taylor Series Based Applications
Title (cs):Nové trendy v aplikacích Taylorovy řady
Pages:1-4
Proceedings:13rd International Conference of Numerical Analysis and Applied Mathematics
Conference:13rd International Conference of Numerical Analysis and Applied Mathematics
Place:Rhodes, GR
Year:2015
URL:https://www.scopus.com/record/display.uri?eid=2-s2.0-84984560484&origin=resultslist&sort=plf-f&src=s&st1=New+Trends+in+Taylor+Series+Based+Applications&st2=&sid=124ED7E8734090D5B21AEE9C5813DCB8.FZg2ODcJC9ArCe8WOZPvA%3a10&sot=b&sdt=b&sl=53&s=TITLE%28New+Tr
ISBN:978-0-7354-1287-3
Journal:AIP Conference Proceedings - American Institute of Physics, Vol. 2016, No. 1648, US
ISSN:0094-243X
Publisher:American Institute of Physics
Keywords
Differential Equations; Parallel Solution; Taylor Series Method; Telegraph Equation
Annotation
The paper deals with the solution of large system of linear ODEs when minimal comunication among parallel processors is required. The Modern Taylor Series Method (MTSM) is used. The MTSM allows using a higher order during the computation that means a larger integration step size while keeping desired accuracy. As an example of complex systems we can take the Telegraph Equation Model. Symbolic and numeric solutions are compared when harmonic input signal is used.
BibTeX:
@INPROCEEDINGS{
   author = {Filip Kocina and V{\'{a}}clav {\v{S}}{\'{a}}tek and Petr
	Veigend and Gabriela Ne{\v{c}}asov{\'{a}} and V{\'{a}}clav
	Valenta and Ji{\v{r}}{\'{i}} Kunovsk{\'{y}}},
   title = {New Trends in Taylor Series Based Applications},
   pages = {1--4},
   booktitle = {13rd International Conference of Numerical Analysis and
	Applied Mathematics},
   journal = {AIP Conference Proceedings - American Institute of Physics},
   volume = {2016},
   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.en.iso-8859-2?id=10856}
}

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