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ListInterpolation

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

ListInterpolation[array, {{x_min, x_max}, {y_min, y_max}, ...}]
specifies the domain of the grid from which the values in array are assumed to come.

MORE INFORMATION

You can replace {x_min, x_max} 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 which returns values with the same precision as those in {array, domain}.

EXAMPLES

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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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Scope (4)

Generalizations & Extensions (3)

Options (6)

Properties & Relations (2)

Possible Issues (4)