About: Stability and Convergence of the Modern Taylor Series Method

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The paper deals with extremely exact, stable and fast numerical solutions of systems of differential equations. In a natural way, it also involves solutions of problems that can be transformed to solving a system of differential equations.<br>The project is based on an original mathematical method which uses the Taylor series method for solving differential equations.<br>The Taylor Series Method is based on a recurrent calculation of the Taylor series terms for each time interval. Thus the complicated calculation of higher order derivatives (much criticized in the literature) need not be performed but rather the value of each Taylor series term is numerically calculated. Another typical algorithm is the convolution operation. Stability and convergence of the numerical integration methods when the Dahlquist problem is solved, Taylorian initial problems with automatic transformation, stability and convergence of a system of linear algebraic equations and stability and convergence when alge The paper deals with extremely exact, stable and fast numerical solutions of systems of differential equations. In a natural way, it also involves solutions of problems that can be transformed to solving a system of differential equations.<br>The project is based on an original mathematical method which uses the Taylor series method for solving differential equations.<br>The Taylor Series Method is based on a recurrent calculation of the Taylor series terms for each time interval. Thus the complicated calculation of higher order derivatives (much criticized in the literature) need not be performed but rather the value of each Taylor series term is numerically calculated. Another typical algorithm is the convolution operation. Stability and convergence of the numerical integration methods when the Dahlquist problem is solved, Taylorian initial problems with automatic transformation, stability and convergence of a system of linear algebraic equations and stability and convergence when alge (en)
Title	Stability and Convergence of the Modern Taylor Series Method Stability and Convergence of the Modern Taylor Series Method (en)
skos:prefLabel	Stability and Convergence of the Modern Taylor Series Method Stability and Convergence of the Modern Taylor Series Method (en)
skos:notation	RIV/00216305:26230/10:PU89611!RIV11-MSM-26230___
http://linked.open...avai/riv/aktivita	S Z
http://linked.open...avai/riv/aktivity	S, Z(MSM0021630528)
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Šátek, Václav Kunovský, Jiří Sehnalová, Pavla
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	289566
http://linked.open...ai/riv/idVysledku	RIV/00216305:26230/10:PU89611
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Stability, Convergence, Modern Taylor Series Method, Differential equations, Continuous system modelling (en)
http://linked.open.../riv/klicoveSlovo	Convergence Differential equations Continuous system modelling Modern Taylor Series Method Stability
http://linked.open...ontrolniKodProRIV	[36963C4AC4A1]
http://linked.open...v/mistoKonaniAkce	Diplomat Hotel, Praha
http://linked.open...i/riv/mistoVydani	Praha
http://linked.open...i/riv/nazevZdroje	Proceedings of the 7th EUROSIM Congress on Modelling and Simulation
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...UplatneniVysledku	2010
http://linked.open...iv/tvurceVysledku	Kunovský, Jiří Šátek, Václav Sehnalová, Pavla
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2010-09-06 (xsd:date)
http://linked.open...n/vavai/riv/zamer	Výzkum informačních technologií z hlediska bezpečnosti
number of pages	6 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Česká technika - nakladatelství ČVUT
https://schema.org/isbn	978-80-01-04589-3
http://localhost/t...ganizacniJednotka	26230
is http://linked.open...avai/riv/vysledek of	Stability and Convergence of the Modern Taylor Series Method Stability and Convergence of the Modern Taylor Series Method Stability and Convergence of the Modern Taylor Series Method

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