On Clenshaws's Method and a Generalisation to Faber Series.
On computer aided shape optimization
On Computing Reciprocals of Power Series.
On Cubature Formulae with a Minimal Number of Knots.
On Equally Weighted Quadratures.
On error formulas for approximation by sums of univariate functions.
On extremum-searching approximate probabilistic algorithms
On -discrepancy and mixed Monte Carlo and quasi-Monte Carlo sequences.
On General Hermite Trigonometric Interpolation.
On Hermite interpolation in .
On High Precision Methods for the Evaluation of Fourier Integrals with Finite and Infinite Limits.
On highly oscillatory problems arising in electronic engineering
In this paper, we consider linear ordinary differential equations originating in electronic engineering, which exhibit exceedingly rapid oscillation. Moreover, the oscillation model is completely different from the familiar framework of asymptotic analysis of highly oscillatory integrals. Using a Bessel-function identity, we expand the oscillator into asymptotic series, and this allows us to extend Filon-type approach to this setting. The outcome is a time-stepping method that guarantees ...
On Lagrange and Hermite Interpolation in Rk.
On monotone extensions of boundary data.
On numerical cubatures of singular surface integrals in boundary element methods.
On numerical evaluation of integrals involving Bessel functions
On one approach to local surface smoothing
A bicubic model for local smoothing of surfaces is constructed on the base of pivot points. Such an approach allows reducing the dimension of matrix of normal equations more than twice. The model enables to increase essentially the speed and stability of calculations. The algorithms, constructed by the aid of the offered model, can be used both in applications and the development of global methods for smoothing and approximation of surfaces.
On one method of numerical integration
The uniform convergence of a sequence of Lienhard approximation of a given continuous function is proved. Further, a method of numerical integration is derived which is based on the Lienhard interpolation method.
On optimal center locations for radial basis function interpolation: computational aspects.
On Optimal Chebyshev-Type Quadratures.