Find the number of interpolation nodes in Computer Problem 9 required to make the maximum…

Find the number of interpolation nodes in Computer Problem 9 required to make the maximum interpolation error at most 0.5 × 10−7.

Computer Problem 9

Find the clamped cubic spline that interpolates f (x) = ln x at five evenly spaced points in [1,3], including the endpoints. Empirically find the maximum interpolation error on [1,3]

 

 

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