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FilledSmallSquareInterpolation[data] constructs an InterpolatingFunction object which represents an approximate function that interpolates the data.

FilledSmallSquare The data can have the forms , , , , ... or , , ... , where in the second case, the are taken to have values 1, 2, ... .

FilledSmallSquare Data can be given in the form , , , , ... , ... to specify derivatives as well as values of the function at the points . You can specify different numbers of derivatives at different points.

FilledSmallSquare Function values and derivatives may be real or complex numbers, or arbitrary symbolic expressions. The must be real numbers.

FilledSmallSquare Multidimensional data can be given in the form , , ... , , ... . Derivatives in this case can be given by replacing and so on by , , , ... .

FilledSmallSquareInterpolation works by fitting polynomial curves between successive data points.

FilledSmallSquare The degree of the polynomial curves is specified by the option InterpolationOrder.

FilledSmallSquare The default setting is InterpolationOrder -> 3.

FilledSmallSquare You can do linear interpolation by using the setting InterpolationOrder -> 1.

FilledSmallSquareInterpolation[data] generates an InterpolatingFunction object which returns values with the same precision as those in data.

FilledSmallSquare See The Mathematica Book: Section 3.8.2.

FilledSmallSquare See also: ListInterpolation, FunctionInterpolation, InterpolatingPolynomial, Fit.

FilledSmallSquare Related packages: NumericalMath`SplineFit`, NumericalMath`PolynomialFit`, NumericalMath`Approximations`, DiscreteMath`ComputationalGeometry`.

Further Examples