Some algorithms for numerical quadrature using the derivatives of the integrand in the integration interval

Some quadrature formulae using the derivatives of the integrand are discussed. As special cases are obtained generalizations of both the ordinary and the modified Romberg algorithms. In all cases the error terms are expressed in terms of Bernoulli polynomials and functions.

Detalles Bibliográficos
Autor principal: Håvie, T.
Lenguaje:eng
Publicado: 1970
Materias:
Computing and Computers
Acceso en línea:https://dx.doi.org/10.1007/BF01934198
http://cds.cern.ch/record/2259494
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author Håvie, T.
author_facet Håvie, T.
author_sort Håvie, T.
collection CERN
description Some quadrature formulae using the derivatives of the integrand are discussed. As special cases are obtained generalizations of both the ordinary and the modified Romberg algorithms. In all cases the error terms are expressed in terms of Bernoulli polynomials and functions.
id cern-2259494
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1970
record_format invenio
spelling cern-22594942019-09-30T06:29:59Zdoi:10.1007/BF01934198http://cds.cern.ch/record/2259494engHåvie, T.Some algorithms for numerical quadrature using the derivatives of the integrand in the integration intervalComputing and ComputersSome quadrature formulae using the derivatives of the integrand are discussed. As special cases are obtained generalizations of both the ordinary and the modified Romberg algorithms. In all cases the error terms are expressed in terms of Bernoulli polynomials and functions.oai:cds.cern.ch:22594941970
spellingShingle Computing and Computers
Håvie, T.
Some algorithms for numerical quadrature using the derivatives of the integrand in the integration interval
title Some algorithms for numerical quadrature using the derivatives of the integrand in the integration interval
title_full Some algorithms for numerical quadrature using the derivatives of the integrand in the integration interval
title_fullStr Some algorithms for numerical quadrature using the derivatives of the integrand in the integration interval
title_full_unstemmed Some algorithms for numerical quadrature using the derivatives of the integrand in the integration interval
title_short Some algorithms for numerical quadrature using the derivatives of the integrand in the integration interval
title_sort some algorithms for numerical quadrature using the derivatives of the integrand in the integration interval
topic Computing and Computers
url https://dx.doi.org/10.1007/BF01934198
http://cds.cern.ch/record/2259494
work_keys_str_mv AT haviet somealgorithmsfornumericalquadratureusingthederivativesoftheintegrandintheintegrationinterval

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