Evaluation of Taylor coefficients in Pade-Laplace method using cubic splines

Ibryaeva Olga

Abstract

A new method for the evaluation of the Taylor coefficients in the Pade-Laplace method is proposed. It is based on replacing a signal (with noise) in the integrals defining Taylor coefficients with its (smoothing) cubic spline. This makes possible to carry out integration exactly and avoid numerical integration errors. The proposed method gives more accurate results at some center points of Taylor series expansion compared to the trapezoidal rule and Simpson’s rule.

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IMEKO TC

TC10 - Measurement for Diagnostics, Optimization and Control

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