Predictor?corrector Obreshkov pairs

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F13%3APU101911" target="_blank" >RIV/00216305:26210/13:PU101911 - isvavai.cz</a>

Výsledek na webu

<a href="http://link.springer.com/article/10.1007%2Fs00607-012-0258-0" target="_blank" >http://link.springer.com/article/10.1007%2Fs00607-012-0258-0</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00607-012-0258-0" target="_blank" >10.1007/s00607-012-0258-0</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Predictor?corrector Obreshkov pairs

Popis výsledku v původním jazyce

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 o

Název v anglickém jazyce

Predictor?corrector Obreshkov pairs

Popis výsledku anglicky

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 o

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2013

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

COMPUTING

ISSN

0010-485X

e-ISSN

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Svazek periodika

95

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

AT - Rakouská republika

Počet stran výsledku

17

Strana od-do

355-371

Kód UT WoS článku

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EID výsledku v databázi Scopus

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