Lecture30

# Lecture30 - Chapter 15 Polynomial Interpolation...

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Polynomial Interpolation Chapter 15

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Interpolation & Extrapolation Interpolation : data to be found are within the range of observed data. Extrapolation : data to be found are beyond the range of observation data. (not reliable*)
Interpolation Used to estimate values between data points Difference from regression - exactly goes through data points therefore, no error at data points The most common method is the polynomial interpolation

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Interpolation vs. Regression Same data points, different curve fitting
Superheat tables -- compressed liquid tables are similar u = u ( P,T ) , h = h ( P,T ) , etc.

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Given n data points, fit a unique (n-1) th - order polynomial through them Use polynomial interpolation to determine a ’s For consistency with MATLAB, use ( 29 1 n n 2 3 2 1 x a x a x a a x f - + + + + = ... Polynomial Interpolation n 1 n 2 n 2 1 n 1 p x p x p x p x f + + + + = - - - ) (
Interpolating Polynomials First-order second-order third-order

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Coefficients of an Interpolating Polynomial Newton and Lagrange polynomials
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## This note was uploaded on 09/05/2011 for the course EGM 3344 taught by Professor Raphaelhaftka during the Spring '09 term at University of Florida.

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Lecture30 - Chapter 15 Polynomial Interpolation...

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