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Unformatted text preview: -1 , 1]. You may use the Matlab scripts supplied with the previous homework. (b) Apply your program to the functions f ( x ) = | x | and g ( x ) = sign( x ) for each n = 4 , 8 , 16. For each function, report whether the interpolants appear to be converging on [-1 , 1]. If so, is the convergence pointwise or uniform? (3) Piecewise Linear Interpolation) Use the error theorem on p. 390 to compute an upper bound on the pointwise error from interpolating f ( x ) = e-x 2 on the interval [-4 , 4] with piecewise linear functions at the points-4,-2, 0, 2, and 4. (4) (Cubic Spline Interpolation) P. 403 #10, P. 404 #15. 1...
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This note was uploaded on 12/16/2011 for the course MATH 371 taught by Professor Krasny during the Fall '08 term at University of Michigan.
- Fall '08