Suppose f"(x) = N; (h) + a,h + azh² + azh" +-- The value of N, (h) using Richardson's extrapolation is: O N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h^2) O N2 (h)=(4N1(h/2)-N1 (h)/3 with error of order O(h^4) O N2 (h)=(4N1(h/2)-N1 (h))/3 with error of order O(h^2) N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h^3)

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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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,h + azh² + azh" + -
The value of N, (h) using Richardson's extrapolation is:
O N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h^2 )
O 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 )
N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h*3)
The degree of precision of a quadrature formula whose error term is
4.
Transcribed Image Text:Suppose f"(x) = N (h) + a,h + azh² + azh" + - The value of N, (h) using Richardson's extrapolation is: O N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h^2 ) O 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 ) N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h*3) The degree of precision of a quadrature formula whose error term is 4.
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