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Original Articles

Generalized taylor splines

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Pages 551-568 | Received 23 May 2000, Published online: 10 Jun 2010
 

Abstract

A generalization of polynomial spline theory is presented which allows the construction of splines of any order. The kernel is based on a Taylor series expansion of the governing equations and Gaussian elimination is used for the numerical calculation of the splines coefficients. The general steps are described and tests are performed for the classical cubic and quintic splines and also for an unorthodox 25th order spline.

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*Corresponding author

*Corresponding author

Notes

*Corresponding author

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