ListInterpolation

ListInterpolation[array]
constructs an InterpolatingFunction object that represents an approximate function that interpolates the array of values given.

ListInterpolation[array,{{xmin,xmax},{ymin,ymax},}]
specifies the domain of the grid from which the values in array are assumed to come.

Details and OptionsDetails and Options

  • You can replace etc. by explicit lists of positions for grid lines. The grid lines are otherwise assumed to be equally spaced.
  • ListInterpolation[array] assumes grid lines at integer positions in each direction.
  • array can be an array in any number of dimensions, corresponding to a list with any number of levels of nesting.
  • ListInterpolation[array,domain] generates an InterpolatingFunction object that returns values with the same precision as those in .
  • ListInterpolation supports a Method option. Possible settings include for spline interpolation and for Hermite interpolation.

ExamplesExamplesopen allclose all

Basic Examples  (3)Basic Examples  (3)

Construct an approximate function that interpolates the data:

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Apply the function to find interpolated values:

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Plot the interpolation function:

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Compare with the original data:

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Construct an approximate function with the x values equally spaced on the interval :

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Apply the function to find interpolated values:

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Plot the interpolation function with the original data:

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Construct an approximate function that interpolates the values from an array of values:

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Plot the function with the original data:

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Introduced in 1996
(3.0)
| Updated in 2008
(7.0)