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Math Help - Numerical analysis

  1. #1
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    Numerical analysis

    For the following function, let x0=0, x1=0.6, and x2=0.9. Construct interpolation polynomials of degree at most one and at most two to approximate f(0.45), and find the actual error.
    f(x)=cosx
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  2. #2
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    Quote Originally Posted by wvlilgurl View Post
    For the following function, let x0=0, x1=0.6, and x2=0.9. Construct interpolation polynomials of degree at most one and at most two to approximate f(0.45), and find the actual error.
    f(x)=cosx
    There are many ways of doing this, what methods have you been shown?

    My personal favourite is to construct an orthonormal basis of polynomials up to degree 2 on the set \{0,1,2\} with respect to an appropriate inner product and norm and then expand \cos(x) in terms of these.

    .
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  3. #3
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    Thats the problem. Our professor has not shown us how to do these and the book only gives us formulas they have proven.
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