Suppose f"(x) = N(h) + a,h2 + a,h* + azh6 + …. The value of N2(h) using Richardson's extrapolation is: N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h) N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h^2) N2 (h)3(4N1(h/2)-N1 (h))/3 with error of order O(h^4) N2 (h)-(4N1(h/2)-N1 (h))/3 with error of order O(h^2)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Suppose f"(x) = N,(h) + a,h2 +azh* + azh6 + ….
*..
The value of N2(h) using Richardson's extrapolation is:
N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h)
N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h^2)
N2 (h)=(4N1(h/2)-N1 (h))/3 with error of order O(h^4)
N2 (h)-(4N1(h/2)-N1 (h))/3 with error of order O(h^2)
Transcribed Image Text:Suppose f"(x) = N,(h) + a,h2 +azh* + azh6 + …. *.. The value of N2(h) using Richardson's extrapolation is: N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h) N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h^2) N2 (h)=(4N1(h/2)-N1 (h))/3 with error of order O(h^4) N2 (h)-(4N1(h/2)-N1 (h))/3 with error of order O(h^2)
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