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Unformatted text preview: MAE 107 Assignment 7 Due Thursday, 18 Nov., 2010 Epperson, Section 4.10 problems: 1, 4. Epperson, Section 5.2 problems: 6a, 6d. Use the form given at the bottom of page 258, rather than the form with the analytical derivative on the previous page. Also plot log( error ) versus log( n ) for each, and comment on the slopes. Epperson, Section 5.3 problems: 3, 7 for case 6a. (You are not required to do/hand-in 6a.) Epperson, Section 5.4 problem: 1. Find a root of f ( x ) = xe x- ( x 2 + 1) using both the methods given in (3.44) and (3.45) of Epperson, starting from x = 1. Also use Newtons method. Plot the log of the error at step n + 1 versus the log of the error at step n , where n is the iteration number. (Note that you can use the final iteration as the true solution.) What do the slopes look like? How does this compare with your expectation? (Dont worry about small deviations from your expectation.) We know that a system will behave according to x ( t ) = A...
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This note was uploaded on 01/15/2012 for the course MAE 107 taught by Professor Rottman during the Spring '08 term at UCSD.
- Spring '08