.TRANSFORM.Media.Interfaces.Solids.Polynomials_Temp

Information

This package contains functions to operate on polynomials, in particular to determine the derivative and the integral of a polynomial and to use a polynomial to fit a given set of data points.

Copyright © 2004-2016, Modelica Association and DLR.

This package is free software. It can be redistributed and/or modified under the terms of the Modelica license, see the license conditions and the accompanying disclaimer in the documentation of package Modelica in file "Modelica/package.mo".

Contents

Name	Description
evaluate	Evaluate polynomial at a given abscissa value
evaluateWithRange	Evaluate polynomial at a given abscissa value with linear extrapolation outside of the defined range
derivative	Derivative of polynomial
derivativeValue	Value of derivative of polynomial at abscissa value u
secondDerivativeValue	Value of 2nd derivative of polynomial at abscissa value u
integral	Indefinite integral of polynomial p(u)
integralValue	Integral of polynomial p(u) from u_low to u_high
fitting	Computes the coefficients of a polynomial that fits a set of data points in a least-squares sense
evaluate_der	Evaluate derivative of polynomial at a given abscissa value
evaluateWithRange_der	Evaluate derivative of polynomial at a given abscissa value with extrapolation outside of the defined range
integralValue_der	Time derivative of integral of polynomial p(u) from u_low to u_high, assuming only u_high as time-dependent (Leibniz rule)
derivativeValue_der	Time derivative of derivative of polynomial

Revisions

• Oct. 22, 2004 by Martin Otter (DLR):
  Renamed functions to not have abbreviations.
  Based fitting on LAPACK
  New function to return the polynomial of an indefinite integral
• Sept. 3, 2004 by Jonas Eborn (Scynamics):
  polyderval, polyintval added
• March 1, 2004 by Martin Otter (DLR):
  first version implemented