Suppose f(x) = N₁ (h) + a₂h + a₂h³ + ... The value of N₂(h) using Richardson's extrapolation is: O O N2 (h)=2N1 (h/2)-N1 (h) with error of order 0(h^2) N2 (h)=(4N1(h/2)-N1 (h))/3 with error of order 0(h^2) N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h^3) N2 (h)=(4N1(h/2)-N1 (h))/3 with error of order 0(h^4)
Suppose f(x) = N₁ (h) + a₂h + a₂h³ + ... The value of N₂(h) using Richardson's extrapolation is: O O N2 (h)=2N1 (h/2)-N1 (h) with error of order 0(h^2) N2 (h)=(4N1(h/2)-N1 (h))/3 with error of order 0(h^2) N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h^3) N2 (h)=(4N1(h/2)-N1 (h))/3 with error of order 0(h^4)
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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Transcribed Image Text:Suppose f"(x) = N(h) + a,h +a,h³ + ..
The value of N2(h) using Richardson's extrapolation is:
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^2)
N2 (h)=2N1 (h/2)-N1 (h) with error of order
O(h^3)
N2 (h)=(4N1(h/2)-N1 (h))/3 with error of
order O(h^4)
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