Interpolation - Approximating functions using Lagrange Interpolation

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This video looks at how we can use Lagrange interpolation to approximate functions like we use Taylor's polynomials.

The xample used in this video is taken from Numerical Analysis by Burden, Faires & Burden, Cengage learning.
  1. The Math Guy
  2. Lagrance polynomial interpolation
  3. approximating functions using Lagrange
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Автор

Great video! In the book, the denominator of
L_0 is (2 - *2.5*)(2 - 4)
L_2 is (4 - 2) (4 - *2.5*)

I got confused for a while just to realize it was a typo in the book

desrucca
Автор

Your videos are really helping me understand the Numerical Methods book by burden et al. Do you perhaps have a video that explains the parametric curves section in the textbook? If so, could you post a link here? Thank you so much for your videos!

melaniemolifie
Автор

Hi! Great video! You wrote there at 2:45 minute sum from i = 0 to 2. Where does that 2 come from? :) Is it the lower bound of the interval?Also, where did you get the 2/3, -16/15 and 2/5 from? Thx

alexadurdunescu