About: Explicit and Implicit Taylor Series Based Computations

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	This paper deals with computer simulations of continuous systems. The research group "High performance computing"<br>has been working on extremely exact and fast solutions of homogenous differential equations, nonlinear ordinary and partial<br>differential equations, stiff systems, large systems of algebraic equations, real time simulations and corresponding software<br>and hardware (parallel) implementations since 1980.<br>The Modern Taylor Series Method (MTSM) developed at our university is an original mathematical method which uses<br>the Taylor series method for solving differential equations in a non-traditional way.<br>Unfortunately, it is easier said than done as there are some peculiar systems of differential equations, which cannot be<br>solved by commonly used (explicit) methods - the stiff systems.While the definition of this kind of systems is intuitively clear<br>to the mathematicians the exact definition has not been specified yet. Often unnoticed, stiff systems showed up too o This paper deals with computer simulations of continuous systems. The research group "High performance computing"<br>has been working on extremely exact and fast solutions of homogenous differential equations, nonlinear ordinary and partial<br>differential equations, stiff systems, large systems of algebraic equations, real time simulations and corresponding software<br>and hardware (parallel) implementations since 1980.<br>The Modern Taylor Series Method (MTSM) developed at our university is an original mathematical method which uses<br>the Taylor series method for solving differential equations in a non-traditional way.<br>Unfortunately, it is easier said than done as there are some peculiar systems of differential equations, which cannot be<br>solved by commonly used (explicit) methods - the stiff systems.While the definition of this kind of systems is intuitively clear<br>to the mathematicians the exact definition has not been specified yet. Often unnoticed, stiff systems showed up too o (en)
Title	Explicit and Implicit Taylor Series Based Computations Explicit and Implicit Taylor Series Based Computations (en)
skos:prefLabel	Explicit and Implicit Taylor Series Based Computations Explicit and Implicit Taylor Series Based Computations (en)
skos:notation	RIV/00216305:26230/10:PU89629!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	258455
http://linked.open...ai/riv/idVysledku	RIV/00216305:26230/10:PU89629
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Differential equations, Taylor series method, TKSL, Stiff systems (en)
http://linked.open.../riv/klicoveSlovo	Differential equations Stiff systems TKSL Taylor series method
http://linked.open...ontrolniKodProRIV	[B9352B9D6C3B]
http://linked.open...v/mistoKonaniAkce	Rhodes, Greece
http://linked.open...i/riv/mistoVydani	Tripolis
http://linked.open...i/riv/nazevZdroje	8th International Conference of Numerical Analysis and Applied Mathematics
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	2010-09-19 (xsd:date)
http://linked.open...n/vavai/riv/zamer	Výzkum informačních technologií z hlediska bezpečnosti
number of pages	4 (xsd:int)
http://purl.org/ne...btex#hasPublisher	American Institute of Physics
https://schema.org/isbn	978-0-7354-0831-9
http://localhost/t...ganizacniJednotka	26230
is http://linked.open...avai/riv/vysledek of	Explicit and Implicit Taylor Series Based Computations Explicit and Implicit Taylor Series Based Computations Explicit and Implicit Taylor Series Based Computations

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