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 ) = ex 2 on the interval [4 , 4] with piecewise linear functions at the points4,2, 0, 2, and 4. (4) (Cubic Spline Interpolation) P. 403 #10, P. 404 #15. 1...
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 Fall '08
 KRASNY
 matlab, Numerical Analysis, Piecewise linear function, Chebyshev nodes

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