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Interpolation for numerical integration

  1. Nov 30, 2011 #1
    Hallo,
    [itex]\Gamma[/itex](t) is a function that i can know only at dicrete points and appears in this integral:
    [itex]\int[/itex][itex]\Gamma[/itex](t) * tan ([itex]\Gamma(t)[/itex]*t + [itex]\varphi[/itex])
    My question is now, which could be the best interpolation of [itex]\Gamma[/itex](t) that would allopw an exact integration?
    Thank you very much in advance
     
  2. jcsd
  3. Nov 30, 2011 #2

    HallsofIvy

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  4. Nov 30, 2011 #3
    Simpon's rule is definitely a good option. What I was looking for is the following: imagine that in the place of [itex]\Gamma(t)[/itex] you have an approximation, like a Taylor series, or sine series or whatever, that would allow an analytical integration of this approximated expression.
     
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