Numerical Analysis, Books A La Carte Edition (3rd Edition)
Numerical Analysis, Books A La Carte Edition (3rd Edition)
3rd Edition
ISBN: 9780134697338
Author: Timothy Sauer
Publisher: PEARSON
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Chapter 7.2, Problem 7CP

Extrapolate the approximate solutions in Computer Problem 5. Apply Richardson extrapolation (Section 5.1) to the formula

N ( h ) = w h ( 1 / 2 ) , the finite difference approximation with step size h . How close can extrapolation get to the exact value

y ( 1 / 2 ) by using only the approximate values from

h = 1 / 4 , 1 / 8 , and

1 / 16

?

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Numerical Analysis, Books A La Carte Edition (3rd Edition)

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