On the control net of certain multivariate spline functions
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 an Algorithm for Discrete Lp Aprroximation.
On the Convergence of Cartesian Multidimensional Quadrature Formulae.
On the Convergence of Interpolating Periodic Spline Functions of High Degree.
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 efficiency of some optimal quadrature formulas attached to some given quadrature formulas.
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 estimation in numerical methods
On the error of compound quadrature formulas for r-convex functions.
On the Existence of Optimal Integration Formulas for Analytic Functions.
On the Generation of Heronian Triangles
We describe several algorithms for the generation of integer Heronian triangles with diameter at most n. Two of them have running time O(n^(2+ε)). We enumerate all integer Heronian triangles for n ≤ 600000 and apply the complete list on some related problems.
On the discrepancy of distances of points from a finite sequence
On the midpoint quadrature formula for lipschitzian mappings and applications
On the midpoint quadrature formula for mappings with bounded variations and applications
On the motion of a curve by its binormal curvature
We propose a weak formulation for the binormal curvature flow of curves in . This formulation is sufficiently broad to consider integral currents as initial data, and sufficiently strong for the weak-strong uniqueness property to hold, as long as self-intersections do not occur. We also prove a global existence theorem in that framework.
On the Number of Best Approximations in Certain Non-Linear Families of Functions. (Short Communication).
On the numerical solution of an Abel integral equation
On the numerical solution of the multidimensional singular integrals and integral equations, used in the theory of linear viscoelasticity.