About: Stiff Systems Analysis

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://acmbulletin.fiit.stuba.sk/vol4num3/vol4num3.pdf
Description	The paper deals with stiff systems of differential equations. To solve this sort of system numerically is a diffult task. In spite of the fact that we come across stiff systems quite often in the common practice, a very interesting and promissing numerical method of solving systems of ordinary differential equations (ODE) based on Taylor series has appeared. The question was how to harness the said %22Modern Taylor Series Method%22 (MTSM) for solving of stiff systems. The potential of the Taylor series has been exposed by many practical experiments and a way of detection and explicit solution of large systems of ODE has been found. Detailed analysis of stability and convergence of explicit and implicit Taylor series is presented and a new algorithm using implicit Taylor series based on recurrent calculation of Taylor series terms and Newton iteration method (ITMRN) is described. The new method reducing stiffness in system based on finding new equivalent system of ODE %22without stiffness%22 is The paper deals with stiff systems of differential equations. To solve this sort of system numerically is a diffult task. In spite of the fact that we come across stiff systems quite often in the common practice, a very interesting and promissing numerical method of solving systems of ordinary differential equations (ODE) based on Taylor series has appeared. The question was how to harness the said %22Modern Taylor Series Method%22 (MTSM) for solving of stiff systems. The potential of the Taylor series has been exposed by many practical experiments and a way of detection and explicit solution of large systems of ODE has been found. Detailed analysis of stability and convergence of explicit and implicit Taylor series is presented and a new algorithm using implicit Taylor series based on recurrent calculation of Taylor series terms and Newton iteration method (ITMRN) is described. The new method reducing stiffness in system based on finding new equivalent system of ODE %22without stiffness%22 is (en)
Title	Stiff Systems Analysis Stiff Systems Analysis (en)
skos:prefLabel	Stiff Systems Analysis Stiff Systems Analysis (en)
skos:notation	RIV/00216305:26230/12:PU101875!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	3
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Šátek, Václav
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	171420
http://linked.open...ai/riv/idVysledku	RIV/00216305:26230/12:PU101875
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Stiff Systems of Differential Equations, Taylor Series Method, Ordinary Differential Equations, Initial Value Problems, Numerical Solutions of Differential Equations, TKSL software (en)
http://linked.open.../riv/klicoveSlovo	Initial Value Problems Numerical Solutions of Differential Equations Ordinary Differential Equations Stiff Systems of Differential Equations TKSL software Taylor Series Method
http://linked.open...odStatuVydavatele	SK - Slovenská republika
http://linked.open...ontrolniKodProRIV	[F39398C2EE34]
http://linked.open...i/riv/nazevZdroje	Information Sciences and Technologies Bulletin of the ACM Slovakia
http://linked.open...in/vavai/riv/obor	IN
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	IT4Innovations Centre of Excellence
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	4
http://linked.open...iv/tvurceVysledku	Šátek, Václav
http://linked.open...n/vavai/riv/zamer	Výzkum informačních technologií z hlediska bezpečnosti
issn	1338-1237
number of pages	11 (xsd:int)
http://localhost/t...ganizacniJednotka	26230
is http://linked.open...avai/riv/vysledek of	Stiff Systems Analysis

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