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Titlebook: Numerical Methods of Approximation Theory, Vol.6 Numerische Methoden der Approximationstheorie, Ban; Workshop on Numerica Lothar Collatz,G

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A Globally Convergent Method for (Constrained) Nonlinear Continuous Ll Approximation Problems, unconstrained problem, and when X is an interval of the real line, an algorithm is presented, and the effectiveness of this is illustrated by the numerical solution of a number of nonlinear problems.
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A Multivariate Adaptive Data Fitting Algorithm,lecting the best from the set of possible approximations is simple to apply and is derived from information-theoretic considerations. It is shown that under certain restrictive assumptions this method and that of generalized cross-validation are asymptotically equivalent. Numerical results are given to support the validity of the method.
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Conditions for a Smooth Junction Between Three Quasi-Rectangular Patches,n vertex. The conditions can not be met by pure bicubic splines, but can be met by increasing the polynomial order to six in the three patches surrounding the common vertex. By way of illustration, a spherical octant is represented by just three patches.
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Ein Parameteridentifizierungsproblem aus der Pulsradiolyse,ads to uncertainties concerning the quality of the solution. In the following controlltheoretic methods are applied to give characterizing equations which can be used to verify the solution. This requires the treatment of systems of coupled nonlinear boundary value problems.
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Konstanten im Approximationssatz von Jackson-Timan-Teljakowskii,ximation constants. The purpose of this paper is to establish Teljakowskii’s theorem with explicit constants. Furthermore asymptotic best upper bounds in the theorems of Jackson and Timan are presented.
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Polynom- und Spline-Interpolation ein Farbfilm, äquidistanten Punkten und mit Polynomen in Tschebyscheff-Punkten gegenübergestellt. Dieser Farbfilm mit deutschem Tonkommentar ist beim Institut für den wissenschaftlichen Film, Göttingen, für Hochschulen und Schulen i. w. kostenlos ausleihbar.
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