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Untersuchungen über das Wachstum von Potenzreihenabschnitten mit Anwendungen für das Hornerschema.
UR Birkhoff interpolation with rectangular sets of derivatives
In this paper we characterize the regular UR Birkhoff interpolation schemes ( uniform, rectangular sets of nodes) with rectangular sets of derivatives, and beyond.
Variable-precision arithmetic considered perilous - a detective story.
Vector Valued Rational Interpolants I.
Vereinfachte Rekursionen zur Richardson-Extrapolation in Spezialfällen.
Visualisation of the electromagnetic vector fields
Modern computer algebra software can be used to visualize vector fields. One of the most used is the Maple program. This program is used to visualize two and three-dimensional vector fields. The possibilities of plotting direction vectors, lines of force, equipotential curves and the method of colouring the surface area for two-dimensional cases are shown step by step. For three-dimensional arrays, these methods are applied to various slices of three-dimensional space, such as a plane or a cylindrical...
Visualization of rainfall data distribution using quintic triangular Bézier patches.
Weakly Increasing Zero-Diminishing Sequences
The following problem, suggested by Laguerre’s Theorem (1884), remains open: Characterize all real sequences {μk} k=0...∞ which have the zero-diminishing property; that is, if k=0...n, p(x) = ∑(ak x^k) is any P real polynomial, then k=0...n, p(x) = ∑(μk ak x^k) has no more real zeros than p(x). In this paper this problem is solved under the additional assumption of a weak growth condition on the sequence {μk} k=0...∞, namely lim n→∞ | μn |^(1/n) < ∞. More precisely, it is established that...
Weighted approximation of derivatives on the half-line.
Weighted Markov inequalities for curved majorants.
Whitney elements on pyramids.
Zur Anwendung kubischer Splines auf die Richardson-Extrapolation.
Zur Existenz optimaler Quadraturformeln mit freien Knoten bei Integration analytischer Funktionen.
Zur Interpolation und Integration differenzierbarer periodischer Funktionen.
Zur Konvergenz von Näherungsverfahren bezüglich verschiedener Normen.
Zur numerischen Integration periodischer Funktionen nach der Rechteckregel.
Zur Optimalität interpolatorischer Quadraturformeln periodischer Funktionen.-Optimal Formulas of Interpolatory Type for the Quadrature of Periodic Functions.
Zur Restglieddarstellung der Gregoryschen Quadraturformel ungerader Ordnung.
Zur Stetigkeit rationaler T-Approximationen über unbeschränkten Intervallen.