Errata-Corrigé : «Les coefficients optimaux des formules d'intégration approximative»
Error bound of certain Gaussian quadrature rules for trigonometric polynomials
Error Bounds for Rank 1 Lattice Quadrature Rules Modulo Composites.
Error Bounds for the Lobatto and Radau Quadrature Formulas.
Error estimate in the sinc collocation method for Volterra-Fredholm integral equations based on DE transformation.
Error Estimates for Clenshaw-Curtis Quadrature.
Error inequalities for a quadrature formula of open type.
Estimation of error in approximate numerical integration near a simple pole using Chebyshev points
In this note quadrature formula with error estimate for functions with simple pole is discussed. Chebyshev points of the second kind are used as the nodes of integration.
Étude sur les formules d'approximation qui servent à calculer la valeur numérique d'une intégrale définie.
Euler polynomials and the related quadrature rule.
Exit criteria and monotonicity in compound quadrature of Gaussian type.
Extremal problems with polynomials.
Functional equations stemming from numerical analysis [Book]
Further convergence results for two quadrature rules for Cauchy type principal value integrals
New convergence and rate-of-convergence results are established for two well-known quadrature rules for the numerical evaluation of Cauchy type principal value integrals along a finite interval, namely the Gauss quadrature rule and a similar interpolatory quadrature rule where the same nodes as in the Gauss rule are used. The main result concerns the convergence of the interpolatory rule for functions satisfying the Hölder condition with exponent less or equal to . The results obtained here supplement...
Gaussian quadrature for matrix valued functions on the unit circle.
Gauss-Tchebycheff quadrature formulas.
Generalized Kronrod Patterson type imbedded quadratures
We present algorithms for the determination of polynomials orthogonal with respect to a positive weight function multiplied by a polynomial with simple roots inside the interval of integration. We apply these algorithms to search for and calculate all possible sequences of imbedded quadratures of maximal polynomials order of precision for the generalized Laguerre and Hermite weight functions.
Geometry processing : intersections, contours, and cubatures
Good Lattice Points in the Sense of Hlawka and Monte-Carlo Integration.
Hermite interpolation and a method for evaluating Cauchy principal value integrals of oscillatory kind