About: Advanced Stiff Systems Detection

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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 (en)
Title	Advanced Stiff Systems Detection Advanced Stiff Systems Detection (en)
skos:prefLabel	Advanced Stiff Systems Detection Advanced Stiff Systems Detection (en)
skos:notation	RIV/00216305:26230/12:PU98177!RIV13-MSM-26230___
http://linked.open...avai/predkladatel	Fakulta informačních technologií
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(ED1.1.00/02.0070), Z(MSM0021630528)
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Šátek, Václav Kopřiva, Jan Kunovský, Jiří
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoké učení technické v Brně / Fakulta informačních technologií
http://linked.open...dnocenehoVysledku	121200
http://linked.open...ai/riv/idVysledku	RIV/00216305:26230/12:PU98177
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Stiff Systems, Numerical Solution of Differential Equations, Taylor Series Terms, Modern Taylor Series Method, TKSL (en)
http://linked.open.../riv/klicoveSlovo	Numerical Solution of Differential Equations Stiff Systems Taylor Series Terms Modern Taylor Series Method TKSL
http://linked.open...odStatuVydavatele	SK - Slovenská republika
http://linked.open...ontrolniKodProRIV	[67EC83D088A1]
http://linked.open...i/riv/nazevZdroje	Acta Electrotechnica et Informatica
http://linked.open...in/vavai/riv/obor	IN
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	IT4Innovations Centre of Excellence
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	11
http://linked.open...iv/tvurceVysledku	Kopřiva, Jan Kunovský, Jiří Šátek, Václav
http://linked.open...n/vavai/riv/zamer	Výzkum informačních technologií z hlediska bezpečnosti
issn	1335-8243
number of pages	6 (xsd:int)
http://localhost/t...ganizacniJednotka	26230
is http://linked.open...avai/riv/vysledek of	Advanced Stiff Systems Detection

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