mws_com_int_txt_romberg_examples

mws_com_int_txt_romberg_examples - 07.05 Romberg Rule for...

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07.05.1 07.05 Romberg Rule for Integration-More Examples Computer Engineering Example 1 Human vision has the remarkable ability to infer 3D shapes from 2D images. The intriguing question is: can we replicate some of these abilities on a computer? Yes, it can be done and to do this, integration of vector fields is required. The following integral needs to integrated. 100 0 ) ( dx x f I Where,  200 172 , 0 172 30 , 6778 9 10 8487 2 10 7961 2 10 1688 9 30 0 0 1 2 3 3 6 x x . x . x . x . x , x f Table 1 Values obtained for Trapezoidal rule. n Trapezoidal Rule 1 0.85000 2 63.493 4 36.062 8 55.753 a) Use Richardson’s extrapolation formula to find the value of the integral. Use the 2- segment and 4-segment Trapezoidal rule results given in Table 1. b) Find the true error, t E , for part (a). c) Find the absolute relative true error for part (a). Solution
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mws_com_int_txt_romberg_examples - 07.05 Romberg Rule for...

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