About: Multiple Arithmetic in Dynamic System Simulation

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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 (en)
Title	Multiple Arithmetic in Dynamic System Simulation Multiple Arithmetic in Dynamic System Simulation (en)
skos:prefLabel	Multiple Arithmetic in Dynamic System Simulation Multiple Arithmetic in Dynamic System Simulation (en)
skos:notation	RIV/00216305:26230/08:PU76695!RIV10-MSM-26230___
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM0021630528)
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Šátek, Václav Kunovský, Jiří Petřek, Jiří
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
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	381183
http://linked.open...ai/riv/idVysledku	RIV/00216305:26230/08:PU76695
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	stiff systems, Modern Taylor series method, differential equations, continuous system modelling, multiple arithmetic<br> (en)
http://linked.open.../riv/klicoveSlovo	differential equations - mathematical operators - tensors - symmetries stiff systems Modern Taylor series method continuous system modelling multiple arithmetic<br>
http://linked.open...ontrolniKodProRIV	[83B7750A9157]
http://linked.open...v/mistoKonaniAkce	Cambridge
http://linked.open...i/riv/mistoVydani	Cambridge
http://linked.open...i/riv/nazevZdroje	Proceedings UKSim 10th International Conference EUROSIM/UKSim2008
http://linked.open...in/vavai/riv/obor	JC
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...UplatneniVysledku	2008
http://linked.open...iv/tvurceVysledku	Kunovský, Jiří Šátek, Václav Petřek, Jiří
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2008-04-01 (xsd:date)
http://linked.open...n/vavai/riv/zamer	Výzkum informačních technologií z hlediska bezpečnosti
number of pages	2 (xsd:int)
http://purl.org/ne...btex#hasPublisher	IEEE Computer Society
https://schema.org/isbn	0-7695-3114-8
http://localhost/t...ganizacniJednotka	26230
is http://linked.open...avai/riv/vysledek of	Multiple Arithmetic in Dynamic System Simulation Multiple Arithmetic in Dynamic System Simulation Multiple Arithmetic in Dynamic System Simulation Multiple Arithmetic in Dynamic System Simulation

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