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. • You can replace {xmin, xmax} 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 {array, domain}.
• See also: Interpolation, ListContourPlot.
Examples Using InstantCalculatorsHere are the InstantCalculators for the ListInterpolation function. Enter the parameters for your calculation and click Calculate to see the result.
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Evaluate the function at a point.
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Entering Commands DirectlyYou can paste a template for this command via the Text Input button on the ListInterpolation Function Controller. ListInterpolation is similar to Interpolation, but provides a more convenient interface for data that does not include coordinates and for multidimensional data. Here is a table of values of a function on a regular three-dimensional grid.
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This constructs an approximate function that represents these values. There is not enough data in the z direction (only z = 0 and z = 1) for a higher order approximation, so the order in that direction is reduced automatically.
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The approximation reproduces the values at each of the points in the table.
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You can get approximate values at other points. In this case, the interpolation is a fairly good approximation to the function.
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Clear the variable definitions.
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