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...

numerical methods

Extracted 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.