Generalized taylor splines

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.

Keywords:

• Splines
• Taylor Series
• Matrix Computation

Mathematical Index:

• 41A15
• 41A58

C.R. Categories:

• G.1.2

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^*Corresponding author

Notes

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