About: Predictor–corrector Obreshkov pairs

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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://link.springer.com/article/10.1007%2Fs00607-012-0258-0
Description	The combination of predictor–corrector (PEC) pairs of Adams methods can be generalized to high derivative methods using Obreshkov quadrature formulae. It is convenient to construct predictor–corrector pairs using a combination of explicit (Adams–Bashforth for traditional PEC methods) and implicit (Adams–Moulton for traditional PEC methods) forms of the methods. This paper will focus on one special case of a fourth order method consisting of a two-step predictor followed by a one-step corrector, each using second derivative formulae. There is always a choice in predictor–corrector pairs of the so-called mode of the method and we will consider both PEC and PECE modes. The Nordsieck representation of Adams methods, as developed by C. W. Gear and others, adapts well to the multiderivative situation and will be used to make variable stepsize convenient. In the first part of the paper we explain the basic approximations used in the predictor–corrector formula. Those can be written in terms of Ob The combination of predictor–corrector (PEC) pairs of Adams methods can be generalized to high derivative methods using Obreshkov quadrature formulae. It is convenient to construct predictor–corrector pairs using a combination of explicit (Adams–Bashforth for traditional PEC methods) and implicit (Adams–Moulton for traditional PEC methods) forms of the methods. This paper will focus on one special case of a fourth order method consisting of a two-step predictor followed by a one-step corrector, each using second derivative formulae. There is always a choice in predictor–corrector pairs of the so-called mode of the method and we will consider both PEC and PECE modes. The Nordsieck representation of Adams methods, as developed by C. W. Gear and others, adapts well to the multiderivative situation and will be used to make variable stepsize convenient. In the first part of the paper we explain the basic approximations used in the predictor–corrector formula. Those can be written in terms of Ob (en)
Title	Predictor–corrector Obreshkov pairs Predictor–corrector Obreshkov pairs (en)
skos:prefLabel	Predictor–corrector Obreshkov pairs Predictor–corrector Obreshkov pairs (en)
skos:notation	RIV/00216305:26210/13:PU101911!RIV14-MSM-26210___
http://linked.open...avai/predkladatel	Fakulta strojního inženýrství
http://linked.open...avai/riv/aktivita	S
http://linked.open...avai/riv/aktivity	S
http://linked.open...iv/cisloPeriodika	5
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Sehnalová, Pavla
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 strojního inženýrství
http://linked.open...dnocenehoVysledku	98626
http://linked.open...ai/riv/idVysledku	RIV/00216305:26210/13:PU101911
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	PEC methods, Adams methods, Nordsieck representation, Ordinary differential equations, Numerical methods (en)
http://linked.open.../riv/klicoveSlovo	Ordinary differential equations Numerical methods Adams methods Nordsieck representation PEC methods
http://linked.open...odStatuVydavatele	AT - Rakouská republika
http://linked.open...ontrolniKodProRIV	[56436BF6B235]
http://linked.open...i/riv/nazevZdroje	COMPUTING
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	95
http://linked.open...iv/tvurceVysledku	Sehnalová, Pavla Butcher, John
issn	0010-485X
number of pages	17 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/s00607-012-0258-0
http://localhost/t...ganizacniJednotka	26210

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