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Unformatted text preview: CSci 5302 HW4 Due: 1 Apr 2010 1. This problem requires that you write a program in any language you like. The program is not very big, but can behave in different ways. You should not use any prewritten integration programs. (a) Use Trapezoidal rule to compute the following integrals (i) integraldisplay 1 1 x 4 dx (iv) integraldisplay 1 √ x dx. (ii) integraldisplay π/ 2 cos x dx [ x in radians], (v) integraldisplay 5 e x 2 / 2 dx, (iii) integraldisplay 10 1 1 + 100 x 2 dx, (vi) integraldisplay 1 x log x dx. In the expressions above, the log is the natural logarithm, and the function x log x takes the value 0 at x = 0. Divide the interval into n = 8 , 16 , 32 , 64 , 128 , 256 subintervals and assemble the results into a table. The table should show the four different approximations, the error estimates obtained using Richardson Extrapolation and the ratios between them. Do not compute the true errors....
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This note was uploaded on 10/21/2011 for the course CSCI 5302 taught by Professor Boley,d during the Spring '08 term at Minnesota.
 Spring '08
 Boley,D
 Algorithms

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