Tuesday, January 24, 2012

[ vuZs.net ] GDB of MTH603 Solution not complete

 Dear

I have provide you GDB of MTH603 but be aware this is not complete, so please do not rely on this, include some more material in this text.

"

There are two special properties of Simpson's rule. One is that because of the symmetric placement of the three grid points, with the center point coinciding with the Gaussian point, one extra degree of accuracy is obtained in the polynomial. The second is that by using an equally spaced grid in the extended Simpson's rule, the endpoints are shared, so that with n+1 points, we can perform n/2 Simpson's rules, and not (n+1)/3.


Accuracy is more when we have taken more iteration using Rishardson extropolation method. In that we taken more iteration and answer is negative value, this point is extrapolation of Richardson`s. For such functions, general purpose adaptive integration schemes perform much better, but narrowing in on discontinuities and asymptotes.
"

Best Regards

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