Publication:
Convergence and computation of simultaneous rational quadrature formulas

Simple item page
dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorFidalgo Prieto, Ulises
dc.contributor.authorIllán, Jesús R.
dc.contributor.authorLópez Lagomasino, Guillermo
dc.date.accessioned2010-01-05T12:05:50Z
dc.date.available2010-01-05T12:05:50Z
dc.date.issued2007-03
dc.description22 pages, no figures.-- MSC2000 codes: Primary 41A55. Secondary 41A28, 65D32.
dc.descriptionMR#: MR2286008 (2008a:65049)
dc.descriptionZbl#: Zbl 1168.65326
dc.description.abstractWe discuss the convergence and numerical evaluation of simultaneous quadrature formulas which are exact for rational functions. The problem consists in integrating a single function with respect to different measures using a common set of quadrature nodes. Given a multi-index n, the nodes of the integration rule are the zeros of the multi-orthogonal Hermite–Padé polynomial with respect to (S, α, n), where S is a collection of measures, and α is a polynomial which modifies the measures in S. The theory is based on the connection between Gauss-type simultaneous quadrature formulas of rational type and multipoint Hermite–Padé approximation. The numerical treatment relies on the technique of modifying the integrand by means of a change of variable when it has real poles close to the integration interval. The output of some tests show the power of this approach in comparison with other ones in use.
dc.description.sponsorshipThe work of U.F.P. and G.L.L. was partially supported by Dirección General de Enseñanza Superior under grant BFM2003-06335-C03-02 and of G.L.L. by INTAS under Grant INTAS 03-51-6637. The work of J.R.I. was supported by a research grant from the Ministerio de Educación y Ciencia, project code MTM 2005-01320.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationNumerische Mathematik, 2007, vol. 106, n. 1, p. 99-128
dc.identifier.doi10.1007/s00211-006-0056-8
dc.identifier.issn0029-599X (Print)
dc.identifier.issn0945-3245 (Online)
dc.identifier.urihttps://hdl.handle.net/10016/6278
dc.language.isoeng
dc.publisherSpringer
dc.relation.publisherversionhttp://dx.doi.org/10.1007/s00211-006-0056-8
dc.rights© Springer
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherSimultaneous integration rule
dc.subject.otherGauss-like rational quadrature formula
dc.subject.otherMeromorphic integrand
dc.titleConvergence and computation of simultaneous rational quadrature formulas
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
convergence_lagomasino_nm_2007_ps.pdf
Size:
274.15 KB
Format:
Adobe Portable Document Format
Description:
postprint version
Download
Collections
DM - GAMA - Artículos de Revistas