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ASE 211 - Homework 11 Due April 23

# ASE 211 - Homework 11 Due April 23 - ASE 211 Homework 11...

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ASE 211 Homework 11 Due: in class, Wednesday, Apr. 23rd. 1. Write a matlab m-file which implements the Simpson’s rule. Test your code by showing that it computes the following integral exactly: 2 0 ( x 3 + 3 x 2 - 2 x + 3) dx 2. Next, generalize your m-file to the composite Simpson’s rule and test it on the integral 1 0 6 x 5 dx = 1 , and show that as you double n = 2 , 4 , 8, the error goes to zero like h 4 (the error should go down approximately by a factor of 16 with each doubling). Remark This extra order of convergence comes from the fact that Simp-
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