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Unformatted text preview: ( i ) number of data points used, ( ii ) step size, ( iii ) value of the integral, and ( iv ) exact error 1 . Print your code and include it in your solution. Name your code as simpson.m and submit soft copy as an email attachment to caner@uga.edu. (b) (3 pts.) Find the order of Simpsons method by running your code using various stepsizes. Include the output of your runs, and show clearly the operations you did to estimate the order. 3. (3 pts.) Find the quadrature formula Z 11 f ( x ) dx c 2 i = f ( x i ) that is exact for all quadratic polynomials. 4. (3 pts.) Find A , B and C so that the numerical integration rule of the form Z 11 xf ( x ) dx Af (1 ) + Bf ( ) + C f ( 1 ) is exact for all f ( x ) polynomials of maximum degree m . What is m ? 1 Compute the error using the exact value of the integral. 1...
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This note was uploaded on 03/16/2011 for the course ENGR 8101 taught by Professor Canor during the Fall '08 term at University of Georgia Athens.
 Fall '08
 CANOR

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