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.
On Simpson's inequality and applications.
On smoothing conditions of multivariate splines.
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 some quadrature rules with Laplace end corrections
We investigate quadrature rules with Laplace end corrections that depend on a parameter β. Specific values of β yield sixth order rules. We apply our results to approximating the sum of slowly converging series s = Σi=1∞ f(i + 1/2) where f ∈ C 6 with its sixth derivative of constant sign on [m, ∞) and ∫ m∞ f(x)dx is known for m ∈ ℕ. Several examples show the efficiency of this method. This paper continues the results from [Solak W., Szydełko Z., Quadrature rules with Gregory-Laplace end corrections,...
On the approximation of an integral by a sum of random variables.