Results 11 to 20 of about 3,955 (267)
Szegő–Lobatto quadrature rules
Journal of Computational and Applied Mathematics, 2007 Szegö quadrature rules are analogs of Gauss quadrature rules for the integration of periodic functions. They integrate exactly trigonometric polynomials of as high degree as possible. Szegö quadrature rules have a free parameter, which can be used to prescribe one node.
Jagels, Carl, Reichel, Lothar
openaire +3 more sources
Generalized Averaged Gauss Quadrature Rules: A Survey
MathematicsConsider the problem of approximating an integral of a real-valued integrand on a real interval by a Gauss quadrature rule. The classical approach to estimate the quadrature error of a Gauss rule is to evaluate an associated Gauss–Kronrod rule and ...
Dušan L. Djukić +3 more
doaj +2 more sources
Anti-Gaussian quadrature rules for the optimal set of quadrature rules in Borges’ sense
, 2022 Abstract
Petrovic, Nevena +2 more
openaire +2 more sources
MattiaManucci/Sparse-data-driven-quadrature-rules-via-FOCUSS
, 2021 Codes accompanying the article "Sparse data-driven quadrature rules via $\ell^p$-quasi-norm minimization" by M. Manucci, J.V. Aguado and D.
MattiaManucci
core +1 more source
Design of quadrature rules for Müntz and Müntz-logarithmic polynomials using monomial transformation [PDF]
, 2009 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
core +1 more source
Interpolatory Quadrature Rules for Oscillatory Integrals [PDF]
Journal of Scientific Computing, 2012 In this paper we revisit some quadrature methods for highly oscillatory integrals of the form $\int_{-1}^1f(x)e^{{\rm i}ωx}dx, ω>0$. Exponentially Fitted (EF) rules depend on frequency dependent nodes which start off at the Gauss-Legendre nodes when the frequency is zero and end up at the endpoints of the integral when the frequency tends to ...
Veerle Ledoux, Marnix Van Daele
openaire +2 more sources
Asymptotics for Stieltjes polynomials, Padé-type approximants, and Gauss-Kronrod quadrature [PDF]
, 2002 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
core +1 more source
MATRICES AND QUADRATURE RULES FOR WAVELETS
Taiwanese Journal of Mathematics, 1998 The authors study matrices (in particular their spectral norm) arising in the (exact) computation of integrals \[ \int x^m\varphi(x- k)dx,\quad \int x^m\varphi(x) \varphi(x- k)dx\qquad (0\leq m\leq p-1), \] where \(\varphi\) denotes the Daubechies' scaling function which integer translates reproduce polynomials of degree \(\leq p-1\) on finite ...
Shann, W. C., Yen, C. C.
openaire +2 more sources
Quadrature rules for qualocation [PDF]
PAMM, 2003 AbstractQualocation is a method for the numerical treatment of boundary integral equations on smooth curves which was developed by Chandler, Sloan and Wendland (1988‐2000) [1,2]. They showed that the method needs symmetric J–point–quadrature rules on [0, 1] that are exact for a maximum number of 1–periodic functions$$ G _{\alpha} (x) \ggleich \sum ...
Michael Junges, Claus Schneider
openaire +1 more source
An Application of Hayashi’s Inequality for Differentiable Functions
Mathematics, 2022 In this work, we offer new applications of Hayashi’s inequality for differentiable functions by proving new error estimates of the Ostrowski- and trapezoid-type quadrature rules.
Mohammad W. Alomari +1 more
doaj +1 more source