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Positive, monotone, andS-convexC 1-histopolation on rectangular grids

Positive, monotone undS-konvexeC 1-Histopolation auf Rechteckgittern

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Abstract

In this paper we are interested in volume matchingC 1-splines which, in addition, are positive, monotone, orS-convex. Using particular rational biquadratic splines sufficient conditions are derived in form of linear equalities and inequalities, and these conditions are shown to be satisfied for sufficiently large rationality parameters.

Zusammenfassung

In dieser Arbeit sind wir an Volumenabgleichssplines interessiert, welcheC 1-stetig und zusätzlich positiv, monoton oderS-konvex sind. Unter Verwendung von bestimmten rational-biquadratischen Splines werden für diese Eigenschaften hinreichende Bedingungen in Form von linearen Gleichungen und Ungleichungen angegeben, und diese lassen sich erfüllen, sofern die Rationalitätsparameter hinreichend groß sind.

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  1. Institut für Numerische Mathematik, Technische Universität Dresden, Mommsenstrasse 13, D-O-8027, Dresden, Federal Republic of Germany

    Jochen W. Schmidt

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  1. Jochen W. Schmidt
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Schmidt, J.W. Positive, monotone, andS-convexC 1-histopolation on rectangular grids. Computing 50, 19–30 (1993). https://doi.org/10.1007/BF02280037

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  • DOI: https://doi.org/10.1007/BF02280037

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