A Sinc Quadrature Rule for Hadamard Finite-part Integrals.
About Fejér's sum.
Adaptive methods of numerical quadrature [Abstract of thesis]
Algorithms 73-76. Four algorithms for evaluation of improper integrals
An Algorithm for Gaussian Quadrature given Modified Moments.
An algorithm for QMC integration using low-discrepancy lattice sets
Many low-discrepancy sets are suitable for quasi-Monte Carlo integration. Skriganov showed that the intersections of suitable lattices with the unit cube have low discrepancy. We introduce an algorithm based on linear programming which scales any given lattice appropriately and computes its intersection with the unit cube. We compare the quality of numerical integration using these low-discrepancy lattice sets with approximations using other known (quasi-)Monte Carlo methods. The comparison is based...
An Analysis of Ralston's Quadrature.
An analytical method for calculation of integrals appearing in approximate solutions of deformable body mechanics
An error expansion for cubature with an integrand with homogeneous boundary singularities.
An Extrapolation Method for the Quadrature of Functions with Singularities in the Vicinity of the Interval of Integration.
An Implementation of the Method of Ermakov and Zolotukhin for Multidimensional Integration and Interpolation.
An intermediate point property in some of the classical generalized formulas of quadrature.
An intermediate point property in the quadrature formulas of type Gauss.
An operator-theoretic approach to truncated moment problems
We survey recent developments in operator theory and moment problems, beginning with the study of quadratic hyponormality for unilateral weighted shifts, its connections with truncated Hamburger, Stieltjes, Hausdorff and Toeplitz moment problems, and the subsequent proof that polynomially hyponormal operators need not be subnormal. We present a general elementary approach to truncated moment problems in one or several real or complex variables, based on matrix positivity and extension. Together...
Approximating the finite Hilbert transform via an Ostrowski type inequality for functions of bounded variation.