Dual algorithms for convex approximations of histograms using cubic C¹-splines
Duffin-Schaeffer type inequalities.
Dynamics of an artificial slope
The slope shape is replaced by a 3D regression function which corresponds with high precision to the position of several hundred points which were determined on the surface of the slope body. The position of several points was repeatedly measured for several years. The time changes in the position of these points were used to create regression functions that describe vertical movements, slope settlement and horizontal movements, slope movement. The model results are presented in the form of mathematical...
Eberlein integral and polynomial interpolation
Edge-based a Posteriori Error Estimators for Generating Quasi-optimal Simplicial Meshes
We present a new method for generating a d-dimensional simplicial mesh that minimizes the Lp-norm, p > 0, of the interpolation error or its gradient. The method uses edge-based error estimates to build a tensor metric. We describe and analyze the basic steps of our method
Efficient calculation of sensitivities for optimization problems
Sensitivity information is required by numerous applications such as, for example, optimization algorithms, parameter estimations or real time control. Sensitivities can be computed with working accuracy using the forward mode of automatic differentiation (AD). ADOL-C is an AD-tool for programs written in C or C++. Originally, when applying ADOL-C, tapes for values, operations and locations are written during the function evaluation to generate an internal function representation....
Efficient L2 Approximation by Splines.
Efficient Stable Ways to Calculate Continued Fraction Coefficients From some Series.
Ein ableitungsfreies Restglied für die trigonometrische Interpolation periodischer analytischer Funktionen.
Ein Abstiegsverfahren für Approximationsaufgaben in normierten Räumen.
Ein Konstruktionsverfahren bei allgemeiner linearer Approximation.
Ein verallgemeinerter Kettenbruch-Algorithmus zur rationalen Hermite-Interpolation.
Eine Aussage über Alternanten.
Eine Aussage zur L...-Stabilität und zur genauen Konvergenzordnung der H...-Projektionen.
Eine Bemerkung zur Konvergenz Hermitescher Interpolationsprozesse.
Eine Faktorisierung der bei der rationalen Interpolation auftretenden Matrizen.
Eine Familie interpolatorischer Quadraturformeln mit ableitungsfreien Fehlerschranken.
Eine Fehlerabschätzung zum Quadraturverfahren von Clesnshaw und Curtis.
Eine Iterationsmethode zur mehrdimensionalen gleichmäßigen Approximation bei gegebener Näherung.
Eine kurze Anmerkung zur Romberg-Integration.