On High Precision Methods for the Evaluation of Fourier Integrals with Finite and Infinite Limits.
On numerical evaluation of integrals involving Bessel functions
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 Chebyshev-Type Quadratures.
On Optimal Extreme-Discrepancy Point Sets in the Square.
On optimal methods in numerical analysis
Round-off error analysis of the gradient method.
On optimal nodal splines and their applications.
On p-Generator Fully Symmetric Quadrature Rules.
On Quasi Degree Quadrature Rules.
On some composite schemes of time integration in structural dynamics
Numerical simulations of time-dependent behaviour of advances structures need the analysis of systems of partial differential equations of hyperbolic type, whose semi-discretization, using the Fourier multiplicative decomposition together with the finite element or similar techniques, leads to large sparse systems of ordinary differential equations. Effective and robust methods for numerical evaluation of their solutions in particular time steps are required; thus still new computational schemes...
On the approximation of an integral by a sum of random variables.
On the Convergence of a Quadrature Rule for Evaluating Certain Cauchy Principal Value Integrals: An Addendum.
On the Convergence of a Quadrature Rule for Evaluating Certain Cauchy Principal Value Integrals.
On the Convergence of Cartesian Multidimensional Quadrature Formulae.
On the effect of numerical integration in the finite element solution of an elliptic problem with a nonlinear Newton boundary condition
This paper is concerned with the analysis of the finite element method for the numerical solution of an elliptic boundary value problem with a nonlinear Newton boundary condition in a two-dimensional polygonal domain. The weak solution loses regularity in a neighbourhood of boundary singularities, which may be at corners or at roots of the weak solution on edges. The main attention is paid to the study of error estimates. It turns out that the order of convergence is not dampened by the nonlinearity...
On the efficient use of the Galerkin-method to solve Fredholm integral equations
In the present paper we describe, how to use the Galerkin-method efficiently in solving boundary integral equations. In the first part we show how the elements of the system matrix can be computed in a reasonable time by using suitable coordinate transformations. These techniques can be applied to a wide class of integral equations (including hypersingular kernels) on piecewise smooth surfaces in 3-D, approximated by spline functions of arbitrary degree. In the second part we show, how to use the...
On the error of compound quadrature formulas for r-convex functions.
On the Existence of Optimal Integration Formulas for Analytic Functions.
On the discrepancy of distances of points from a finite sequence
On the positivity of ultraspherical type quadrature formulas with Jacobi abscissas.