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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 …
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 …