An Alternative Computational Method for the Approximation of Random Functions.
An Analysis of Ralston's Quadrature.
An analytical method for calculation of integrals appearing in approximate solutions of deformable body mechanics
An approximate necessary condition for the optimal bandwidth selector in kernel density estimation
An approximate necessary condition for the optimal bandwidth choice is derived. This condition is used to construct an iterative bandwidth selector. The algorithm is based on resampling and step-wise fitting the bandwidth to the density estimator from the previous iteration. Examples show fast convergence of the algorithm to the bandwidth value which is surprisingly close to the optimal one no matter what is the initial knowledge on the unknown density.
An approximation for the zeros of Bessel functions.
An approximation of tabulated function.
An Asymptotic Expansion for Product Integration Applied to Cauchy Principal Value Integrals.
An Efficient Method for Calculating Smoothing Splines Using Orthogonal Transformations.
An Elementary Algebraic Representation of Polynomial Spline Interpolants for Equidistant Lattices and its Condition.
An error analysis for absolute and relative approximation.
An error expansion for cubature with an integrand with homogeneous boundary singularities.
An example related to Whitney extension with almost minimal norm.
An extension of A. Ostrowski's Theorem on the round-off stability of iterations.
An Extrapolation Method for the Quadrature of Functions with Singularities in the Vicinity of the Interval of Integration.
An Implementation of Ray Tracing Algorithm for the Multiprocessor Machines
An Implementation of the Method of Ermakov and Zolotukhin for Multidimensional Integration and Interpolation.
An Improved Calculation of the General Elliptic Integral of the Second Kind in the Neighbourhood of x= 0.
An integral inequality for convex functions and applications in numerical integration.
An intermediate point property in some of the classical generalized formulas of quadrature.
An intermediate point property in the quadrature formulas of type Gauss.