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Interpolation von Daten und Funktionen

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Brand
Springer Nature
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N/A
Part Number
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GTIN
9783658306571
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Product Description

Dieses essential vermittelt in leicht zugnglicher Sprache verschiedene Techniken zur Interpolation von Daten und Funktionen. Der Fokus liegt dabei zunchst auf der Interpolation mit Polynomen, also ganzrationalen Funktionen, da diese in der Lage sind, jede beliebige Konstellation von Daten eindeutig zu interpolieren. Des Weiteren soll die Mglichkeit aufgezeigt werden, nicht nur die Werte einer Funktion, sondern auch die ihrer Ableitung also die Steigungen in den einzelnen Punkten durch Interpolation mit Polynomen darzustellen. Weisen die vorgelegten Daten ein periodisches oder exponentielles Verhalten auf, ist die Verwendung von Polynomen weniger geeignet. In diesen Fllen sollte man besser trigonometrische Summen oder Exponentialsummen verwenden. Zahlreiche Beispiele machen das essential leicht verstndlich.

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