Some methods of numerical integration over a semi-infinite interval
Some new four-point quadrature formulas.
Some positive Cotes numbers for the Chebyshev weight function.
Special Classes of Orthogonal Polynomials and Corresponding Quadratures of Gaussian Type
MSC 2010: 33C47, 42C05, 41A55, 65D30, 65D32In the first part of this survey paper we present a short account on some important properties of orthogonal polynomials on the real line, including computational methods for constructing coefficients in the fundamental three-term recurrence relation for orthogonal polynomials, and mention some basic facts on Gaussian quadrature rules. In the second part we discuss our Mathematica package Orthogonal Polynomials (see [2]) and show some applications to problems...
Spherical quadrature formulas with equally spaced nodes on latitudinal circles.
Spline quasi-interpolants and quadrature formulas.
Splines in Numerical Integration
AMS Subj. Classification: 65D07, 65D30.We gave a short review of several results which are related to the role of splines (cardinal, centered or interpolating) in numerical integration. Results deal with the problem of approximate computation of the integrals with spline as a weight function, but also with the problem of approximate computation of the integrals without weight function. Besides, we presented an algorithm for calculation of the coefficients of the polynomials which correspond to the...
Stochastic Properties of Quadrature Formulas.
Suboptimal Kronrod extension formulae for numerical quadrature.
Sur les formules de quadrature numérique à nombre minimal de noeuds d'intégration.
Sur une formule de quadrature pour des fonctions entières
Szegő quadrature and frequency analysis.
Tables of Good Lattices in Four and Five Dimensions.
The Average A Posteriori Error of Numerical Methods.
The Boubaker polynomials expansion scheme BPES for solving a standard boundary value problem.
The circle theorem and related theorems for Gauss-type quadrature rules.
The Error Norm of Gaussian Quadrature Formulae for Weight Functions of Bernstein-Szegö Type.
The error norm of Gauss-Lobatto quadrature formulae for weight functions of Bernstein-Szegö type.
The Euler Maclaurin Expansion for the Cauchy Principal Value Integral.
The Numerical Evaluation of Hadamard Finite-part Integrals.