Unformatted text preview: ± t = ± ± ± ± I tI a I t ± ± ± ± × 100% where I t is the true value and I a is an estimated integral. 2. [3pt] Use the Romberg integration algorithm to evaluate Z 2 e 2 x sin( x ) 1 + x 2 dx to the error equal or smaller than 0.5%. Use an estimate of the percent relative error deﬁned by ± a = ± ± ± ± ± I 1 ,kI 2 ,k1 I 1 ,k ± ± ± ± ± × 100% . 1...
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 Spring '11
 LEE
 Romberg's method

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