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Statements

Subject Item
n2:RIV%2F00216305%3A26230%2F12%3APU98177%21RIV13-MSM-26230___
rdf:type
skos:Concept n7:Vysledek
dcterms:description
The paper deals with stiff systems of differential equations. To solve this sort of system numerically is a difficult task. There are many (implicit) methods for solving stiff systems of ordinary differential equations (ODE's), from the most simple such as implicit Euler method to more sophisticated (implicit Runge-Kutta methods) and finally the general linear methods. The mathematical formulation of the methods often looks clear, however the implicit nature of those methods implies several implementation problems. 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 reasons why one has to think twice before using the stiff solver and to decide between the stiff and non-stiff solver. On the other hand a very interesting and promising numerical method of solving systems of ordinary differential equations based on Taylor series has appeared. The potential The paper deals with stiff systems of differential equations. To solve this sort of system numerically is a difficult task. There are many (implicit) methods for solving stiff systems of ordinary differential equations (ODE's), from the most simple such as implicit Euler method to more sophisticated (implicit Runge-Kutta methods) and finally the general linear methods. The mathematical formulation of the methods often looks clear, however the implicit nature of those methods implies several implementation problems. 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 reasons why one has to think twice before using the stiff solver and to decide between the stiff and non-stiff solver. On the other hand a very interesting and promising numerical method of solving systems of ordinary differential equations based on Taylor series has appeared. The potential
dcterms:title
Advanced Stiff Systems Detection Advanced Stiff Systems Detection
skos:prefLabel
Advanced Stiff Systems Detection Advanced Stiff Systems Detection
skos:notation
RIV/00216305:26230/12:PU98177!RIV13-MSM-26230___
n7:predkladatel
n8:orjk%3A26230
n3:aktivita
n13:Z n13:P
n3:aktivity
P(ED1.1.00/02.0070), Z(MSM0021630528)
n3:cisloPeriodika
4
n3:dodaniDat
n11:2013
n3:domaciTvurceVysledku
n4:7652488 n4:6701639 n4:3176908
n3:druhVysledku
n19:J
n3:duvernostUdaju
n16:S
n3:entitaPredkladatele
n14:predkladatel
n3:idSjednocenehoVysledku
121200
n3:idVysledku
RIV/00216305:26230/12:PU98177
n3:jazykVysledku
n20:eng
n3:klicovaSlova
Stiff Systems, Numerical Solution of Differential Equations, Taylor Series Terms, Modern Taylor Series Method, TKSL
n3:klicoveSlovo
n6:Taylor%20Series%20Terms n6:Modern%20Taylor%20Series%20Method n6:TKSL n6:Stiff%20Systems n6:Numerical%20Solution%20of%20Differential%20Equations
n3:kodStatuVydavatele
SK - Slovenská republika
n3:kontrolniKodProRIV
[67EC83D088A1]
n3:nazevZdroje
Acta Electrotechnica et Informatica
n3:obor
n9:IN
n3:pocetDomacichTvurcuVysledku
3
n3:pocetTvurcuVysledku
3
n3:projekt
n10:ED1.1.00%2F02.0070
n3:rokUplatneniVysledku
n11:2012
n3:svazekPeriodika
11
n3:tvurceVysledku
Kopřiva, Jan Šátek, Václav Kunovský, Jiří
n3:zamer
n18:MSM0021630528
s:issn
1335-8243
s:numberOfPages
6
n17:organizacniJednotka
26230