Results 11 to 20 of about 115,454 (246)
On optimal quadrature formulae
A procedure to construct quadrature formulae which are exact for solutions of linear differential equations and are optimal in the sense of Sard is discussed. We give necessary and sufficient conditions under which such formulae do exist.
Lanzara Flavia
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We consider quadrature formulae for Cauchy principal value integrals The quadrature formulae considered here are so-called modified formulae, which are obtained by first subtracting the singularity, and then applying some standard quadrature formula ...
Diethelm Kai, Köhler Peter
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Quadrature Formulae and Polynomial Inequalities [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guessab, A, Rahman, Q.I
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Weighted quadrature formulae of Gauss-Christoffel-Stancu type [PDF]
In the present paper we consider weighted integrals and develop explicit quadrature formulae of Gauss-Christoffel-Stancu type using simple Gaussian nodes and multiple fixed nodes.
Dimitrie D. Stancu +2 more
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Symmetric Quadrature Formulae for Simplexes [PDF]
Symmetrie interpolation polynomials are defined for N N -dimensional simplexes with the aid of a symmetric coordinate ...
P. Silvester
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On Simpson's Inequality and Applications [PDF]
New inequalities of Simpson type and their application to quadrature formulae in Numerical Analysis are ...
Agarwal, R. P +2 more
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Effective potentials in nonlinear polycrystals and quadrature formulae. [PDF]
International audienceThis study presents a family of estimates for effective potentials in nonlinear polycrystals. Noting that these potentials are given as averages, several quadrature formulae are investigated to express these integrals of nonlinear ...
Michel JC, Suquet P.
europepmc +2 more sources
Asymptotics for Stieltjes polynomials, Padé-type approximants, and Gauss-Kronrod quadrature [PDF]
23 pages, 1 figure.-- MSC1991 codes: Primary: 41A21, 42C05; Secondary: 30E10.MR#: MR1894475 (2002m:41021)Zbl#: Zbl 1020.41019We study the asymptotic properties of Stieltjes polynomials outside the support of the measure as well as the asymptotic ...
López Lagomasino, Guillermo +11 more
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Design of quadrature rules for Müntz and Müntz-logarithmic polynomials using monomial transformation [PDF]
A method for constructing the exact quadratures for Müntz and Müntz-logarithmic polynomials is presented. The algorithm does permit to anticipate the precision (machine precision) of the numerical integration of Müntz-logarithmic polynomials in terms of ...
Lombardi, Guido
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New interpolatory quadrature formulae with Gegenbauer abscissae [PDF]
We study interpolatory quadrature formulae, relative to the Legendre weight function on [-1, 1], having as nodes the zeros of the nth degree Gegenbauer polynomial plus one of the points 1 or -1.
Notaris, S.E.
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