AMATH 352 HW2 - discretization. The approximation is...

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AMATH 352 HW2 1) Actual: Matlab : >> quad(@(x) cos(x), 0, 6.283, 1e-4) ans = -1.7612e-004 a) Absolute Error: Relative Error: 1 correct digit. Based on the relative error though, it’s estimated at approx. 2 correct digits. b) Matlab: >> x = linspace(0, 6.283, 1000); >> f = @(x) cos(x) f = @(x) cos(x) >> plot(x, f(x)) I would suspect the trouble in computing this accurately would be due to
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Unformatted text preview: discretization. The approximation is computed through a finite set of values, but that isn’t equal to the integral. 2) a) b) c) d) 3) a) , , , , b) c) Absolute error = 1.712 x 10^-4 Relative error = 4.483 x 10^-4...
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This note was uploaded on 04/14/2008 for the course AMATH 352 taught by Professor Leveque during the Winter '07 term at University of Washington.

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AMATH 352 HW2 - discretization. The approximation is...

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