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Statements

Subject Item
n2:RIV%2F00216305%3A26230%2F08%3APU76695%21RIV10-MSM-26230___
rdf:type
n4:Vysledek skos:Concept
dcterms:description
A very interesting and promising numerical method of solving systems of ordinary differential equations based on Taylor series has appeared. The potential of the Taylor series has been exposed by many practical experiments and a way of detection and solution of large systems of ordinary differential equations has been found. Generally speaking, a stiff system contains several components, some of them are heavily suppressed while the rest remain almost unchanged. This feature forces the used method to choose an extremely small integration step and the progress of the computation may become very slow. There are many (implicit) methods for solving stiff systems of ODE's, from the most simple such as implicit Euler method to more sophisticated (implicit Runge-Kutta methods) and finally the general linear methods. Usually a quite complicated auxiliary system of equations has to be solved in each step. These facts lead to immense amount of work to be done in each step of the computation. These are the reaso A very interesting and promising numerical method of solving systems of ordinary differential equations based on Taylor series has appeared. The potential of the Taylor series has been exposed by many practical experiments and a way of detection and solution of large systems of ordinary differential equations has been found. Generally speaking, a stiff system contains several components, some of them are heavily suppressed while the rest remain almost unchanged. This feature forces the used method to choose an extremely small integration step and the progress of the computation may become very slow. There are many (implicit) methods for solving stiff systems of ODE's, from the most simple such as implicit Euler method to more sophisticated (implicit Runge-Kutta methods) and finally the general linear methods. Usually a quite complicated auxiliary system of equations has to be solved in each step. These facts lead to immense amount of work to be done in each step of the computation. These are the reaso
dcterms:title
Multiple Arithmetic in Dynamic System Simulation Multiple Arithmetic in Dynamic System Simulation
skos:prefLabel
Multiple Arithmetic in Dynamic System Simulation Multiple Arithmetic in Dynamic System Simulation
skos:notation
RIV/00216305:26230/08:PU76695!RIV10-MSM-26230___
n3:aktivita
n18:Z
n3:aktivity
Z(MSM0021630528)
n3:dodaniDat
n7:2010
n3:domaciTvurceVysledku
n10:3176908 n10:7652488 n10:9114297
n3:druhVysledku
n6:D
n3:duvernostUdaju
n16:S
n3:entitaPredkladatele
n19:predkladatel
n3:idSjednocenehoVysledku
381183
n3:idVysledku
RIV/00216305:26230/08:PU76695
n3:jazykVysledku
n5:eng
n3:klicovaSlova
stiff systems, Modern Taylor series method, differential equations, continuous system modelling, multiple arithmetic<br>
n3:klicoveSlovo
n9:multiple%20arithmetic%3Cbr%3E n9:Modern%20Taylor%20series%20method n9:stiff%20systems n9:continuous%20system%20modelling n9:differential%20equations
n3:kontrolniKodProRIV
[83B7750A9157]
n3:mistoKonaniAkce
Cambridge
n3:mistoVydani
Cambridge
n3:nazevZdroje
Proceedings UKSim 10th International Conference EUROSIM/UKSim2008
n3:obor
n14:JC
n3:pocetDomacichTvurcuVysledku
3
n3:pocetTvurcuVysledku
3
n3:rokUplatneniVysledku
n7:2008
n3:tvurceVysledku
Šátek, Václav Petřek, Jiří Kunovský, Jiří
n3:typAkce
n21:WRD
n3:zahajeniAkce
2008-04-01+02:00
n3:zamer
n12:MSM0021630528
s:numberOfPages
2
n17:hasPublisher
IEEE Computer Society
n13:isbn
0-7695-3114-8
n8:organizacniJednotka
26230