Write a short program to interpolate the hat function

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Write a short program to interpolate the hat function of Example 13.3 by trigonometric polynomials for l = 2,4,8,16, and 32. Measure maximum absolute error on the mesh 0:.01*pi:2*pi and observe improvement that is only linear in l (or n = 2l -1).

Reference no: EM131258947

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Write a short program to interpolate the hat function : Write a short program to interpolate the hat function of Example 13.3 by trigonometric polynomials for l = 2,4,8,16, and 32. Measure maximum absolute error on the mesh 0:.01*pi:2*pi and observe improvement that is only linear in l (or n = 2l -1).

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