Unformatted text preview: x i , f i ) with f i = f ( x i ) for some unknown function f . 1. Use the Newton’s Forward Diﬀerence Interpolation polynomial of degree 3 (with coeﬃcients rounded to 4 decimal places) to interpolate a value of f (1 . 6). 2. Given that 1 . 0446 ≤  f (4) ( t )  ≤ 2 . 0126 for any t ∈ [1 , 1 . 75], give bounds for the error in your estimation of f (1 . 6). 1...
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 Spring '11
 STADNIK
 Numerical Analysis, MAT 2384AFall 2010Homework, following nonhomogeneous ODEs, corresponding unique solution, Diﬀerence Interpolation polynomial

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