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.
On Optimal Extreme-Discrepancy Point Sets in the Square.
On Optimal Global Error Bounds Obtained by Scaled Local Error Estimates.
On optimal methods in numerical analysis
Round-off error analysis of the gradient method.
On optimal nodal splines and their applications.
On optimal quadrature formulae.
On optimal triangular meshes for minimizing the gradient error.
On orthogonal decomposition of two-dimensional vector fields
On Orthogonal Linear ...1 Approximation.
On p-Generator Fully Symmetric Quadrature Rules.
On piecewise linear approximation of quadratic functions.
On Quasi Degree Quadrature Rules.
On rational approximations to the exponential
On Richardson Extrapolation for Finite Difference Methods on Regular Grids.
On Samelson's Iteration for Factoring Polynomials.
On semiregular families of triangulations and linear interpolation
We consider triangulations formed by triangular elements. For the standard linear interpolation operator we prove the interpolation order to be for provided the corresponding family of triangulations is only semiregular. In such a case the well-known Zlámal’s condition upon the minimum angle need not be satisfied.