On Error Bounds for Gaussian Cubature

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Previous article Next article On Error Bounds for Gaussian CubatureA. C. AhlinA. C. Ahlinhttps://doi.org/10.1137/1004004PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] A. C. Aitken and , G. L. Frewin, The Numerical Evaluation of Double Integrals, Proc. Edinburgh Math. Soc., 42 (1923), CrossrefGoogle Scholar[2] P. Appel, Sur Une Clusse de Polynomes à Deux Variables et le Calcul Approchedes Integrales Doubles, Annales de la Faculté des Sciences de Toulouse, 4 (1890), H.1–H.20 Google Scholar[3] W. Burnside, An Approximate Quadrature Formula, Messenger of Math., 37 (1908), 166–167 Google Scholar[4] P. C. Hammer, , O. J. Marlowe and , A. H. Stroud, Numerical integration over simplexes and cones, Math. Tables Aids Comput., 10 (1956), 130–137 MR0086389 0070.35404 CrossrefGoogle Scholar[5] Preston C. Hammer and , Arthur H. Stroud, Numerical integration over simplexes, Math. 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Graphical and Numerical Methods, Dover Publications Inc., New York, 1948x+422 MR0028094 0032.07901 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Stable Numerical Solutions Preserving Qualitative Properties of Nonlocal Biological Dynamic ProblemsAbstract and Applied Analysis, Vol. 2019 | 1 Jul 2019 Cross Ref Gaussian cubature: A practitioner’s guideMathematical and Computer Modelling, Vol. 45, No. 7-8 | 1 Apr 2007 Cross Ref Some advancements in Monte Carlo integration methods with applications to proximity fuze detection probabilitiesComputers & Industrial Engineering, Vol. 22, No. 3 | 1 Jul 1992 Cross Ref Continuous time collocation methods for Volterra-Fredholm integral equationsNumerische Mathematik, Vol. 56, No. 5 | 1 May 1989 Cross Ref Cubature error bounds for analytic functionsMathematics of Computation, Vol. 27, No. 123 | 1 January 1973 Cross Ref An Error Representation for Product Cubature RulesSIAM Journal on Numerical Analysis, Vol. 7, No. 3 | 14 July 2006AbstractPDF (144 KB)Konvergenz mehrdimensionaler InterpolationNumerische Mathematik, Vol. 15, No. 2 | 1 Jun 1970 Cross Ref Mehrdimensionale Hermite-InterpolationIterationsverfahren Numerische Mathematik Approximationstheorie | 1 Jan 1970 Cross Ref Cross-product cubature error boundsMathematics of Computation, Vol. 24, No. 111 | 1 January 1970 Cross Ref The Convergence of Complex CubaturesSIAM Journal on Numerical Analysis, Vol. 6, No. 1 | 14 July 2006AbstractPDF (720 KB)Tensorprodukte und mehrdimensionale InterpolationMathematische Zeitschrift, Vol. 113, No. 1 | 1 Jan 1969 Cross Ref On the Estimation of Errors of Gaussian Cubature FormulasSIAM Journal on Numerical Analysis, Vol. 5, No. 1 | 14 July 2006AbstractPDF (733 KB)Error bounds for the evaluation of integrals by repeated gauss-type formulaeNumerische Mathematik, Vol. 9, No. 3 | 1 Dec 1966 Cross Ref A bivariate generalization of Hermite’s interpolation formulaMathematics of Computation, Vol. 18, No. 86 | 1 January 1964 Cross Ref Volume 4, Issue 1| 1962SIAM Review1-78 History Submitted:28 June 1961Published online:18 July 2006 InformationCopyright © 1962 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1004004Article page range:pp. 25-39ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics