Procedures for Kernel Approximation and Solution of Fredholm Integral Equations of the Second Kind.
Product Integration of Piecewise Continuous Integrands Based on Cubic Spline Interpolation at Equally Spaced Nodes.
Product Integration of Singular Integrands Based on Cubic Spline Interpolation at Equally Spaced Nodes.
Product Integration with the Clenshaw-Curtis Points: Implementation and Error Estimates.
Produktintegration mit nicht-äquidistanten Stützstellen.
Programming of differential equations with singularitiens of the type in using the extension to power series
Projections in uniform polynomial approximations
Properties of functions in an auxiliary spline space.
Quadratic Interpolatory Splines.
Quadratic spline quasi-interpolants on bounded domains of .
Quadratic splines smoothing the first derivatives
The extremal property of quadratic splines interpolating the first derivatives is proved. Quadratic spline smoothing the given values of the first derivative, depending on the knot weights and smoothing parameter , is then studied. The algorithm for computing appropriate parameters of such splines is given and the dependence on the smoothing parameter is mentioned.
Quadratic Time Computable Instances of MaxMin and MinMax Area Triangulations of Convex Polygons
We consider the problems of finding two optimal triangulations of a convex polygon: MaxMin area and MinMax area. These are the triangulations that maximize the area of the smallest area triangle in a triangulation, and respectively minimize the area of the largest area triangle in a triangulation, over all possible triangulations. The problem was originally solved by Klincsek by dynamic programming in cubic time [2]. Later, Keil and Vassilev devised an algorithm that runs in O(n^2 log n) time...
Quadrature Formulae for Hp Functions.
Quadrature formulas based on the scaling function
The scaling function corresponding to the Daubechies wavelet with two vanishing moments is used to derive new quadrature formulas. This scaling function has the smallest support among all orthonormal scaling functions with the properties and . So, in this sense, its choice is optimal. Numerical examples are given.
Quadrature Formulas for Oscillatory Integral Transforms.
Quadrature formulas for rational functions.
Quadrature Formulas Obtained by Variable Tranformation.
Quadrature of singular integrands over surfaces.
Quadrature over the sphere.
Quadrature-free quasi-interpolation on the sphere.