WOLFRAM SYSTEM MODELER

Polynomials_Temp

Temporary Functions operating on polynomials (including polynomial fitting); only to be used in Modelica.Media.Incompressible.TableBased

Package Contents

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

Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

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 © 2004-2019, Modelica Association and contributors

Wolfram Language

In[1]:=
SystemModel["Modelica.Media.Incompressible.TableBased.Polynomials_Temp"]
Out[1]:=

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