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Questions on the interpolation functions in Mathematica (InterpolatingFunction[], Interpolation[], ListInterpolation[], FunctionInterpolation[], InterpolatingPolynomial[], etc.)

16 votes
2 answers
2k views

Changing the `ExtrapolationHandler` Function in Any Interpolation

However, the same procedure does not work with spline interpolation (see the minimal code below). Is there a way to change the default ExtrapolationHandler in spline interpolation? … , InterpolationOrder -> 2, "ExtrapolationHandler" -> {(0.0 &), "WarningMessage" -> False}]; (* polynomial interpolation of order 2 *) splineintpF = Interpolation[points, Method -> "Spline", "ExtrapolationHandler …
AlQuemist's user avatar
  • 301
3 votes

Changing the `ExtrapolationHandler` Function in Any Interpolation

[points, Method -> "Spline"]; (* e.g., spline interpolation *) f[x_] := 0.; (* first, define f for all x; this will be the 'extrapolation method' *) f[x_? … (xmin <= # <= xmax &)] := splineintpF[x]; (* then, define f for x in the interpolated range [xmin, xmax] *) Now, interpolation/extrapolation yields the expected result in the whole range of the …
AlQuemist's user avatar
  • 301