Peeking at different interpolation algorithms

08042019, 01:28 PM
(This post was last modified: 08042019 01:44 PM by Albert Chan.)
Post: #3




RE: Peeking at different interpolation algorithms
Perhaps an easier way to produce Forward Divided Difference polynomial:
New Formulas and Methods for Interpolation, Numerical Differentiation and Numerical Integration Redoing post #2 with the New Divided Difference Table, again assume 6 sig. digits calculations Code: p y(p) New Divided Difference Table Top entries are "locked", and use to compute the slope (divided difference). 1st column = [ (y17.107) / (x0) for (x,y) in [[1,16.3432],[1,17.8144],[2,15.5154],[2,18.4708]]] 2nd colume = [ (y+0.7638)/(x1) for (x,y) in [[1,0.7074],[2,0.7958],[2,0.6819]]] ... y(p) = 17.107 + (p0)*(0.7638 + (p1)*(0.0282 + (p+1)*(0.00126667 + (p2)*(0.0000916675)))) This interpolation scheme were used by Acton Forman's Numerical Method that Work. The book were originally published in 1970, so perhaps above is not that "New" https://www.hpmuseum.org/forum/thread11...#pid102623 

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Messages In This Thread 
Peeking at different interpolation algorithms  Namir  10212017, 03:00 PM
RE: Peeking at different interpolation algorithms  Albert Chan  08022019, 09:27 PM
RE: Peeking at different interpolation algorithms  Albert Chan  08102019, 08:49 PM
RE: Peeking at different interpolation algorithms  Albert Chan  08042019 01:28 PM

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