represents an approximate function whose values are found by interpolation.



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Basic Examples  (2)

Make an InterpolatingFunction object that will go through the given points:

Only the domain is shown in standard output format:

Evaluate the function at a point in the domain:

Plot the function over its domain, showing the interpolation points:

Get an InterpolatingFunction object approximating the solution of a differential equation:

Plot the function and its derivative:

Find the indefinite integral of the solution:

Scope  (5)

Make an InterpolatingFunction with exact data:

Compute the value using exact arithmetic:

Compute using machine-number arithmetic:

Compute using arbitrary-precision arithmetic:

Make a new InterpolatingFunction with numerical values of all the data:

With this InterpolatingFunction values are computed using machine arithmetic:

Integrate an InterpolatingFunction:

Make a new InterpolatingFunction that is the indefinite integral:

The derivative of an InterpolatingFunction is another InterpolatingFunction:

Use partial derivatives of an InterpolatingFunction to check the residual for a PDE:

Make an InterpolatingFunction that takes 4 arguments:

Integrate it across the first and last dimensions:

Properties & Relations  (1)

InterpolatingFunction does a Piecewise polynomial interpolation:

Wolfram Research (1991), InterpolatingFunction, Wolfram Language function, (updated 1996).


Wolfram Research (1991), InterpolatingFunction, Wolfram Language function, (updated 1996).


Wolfram Language. 1991. "InterpolatingFunction." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 1996.


Wolfram Language. (1991). InterpolatingFunction. Wolfram Language & System Documentation Center. Retrieved from


@misc{reference.wolfram_2024_interpolatingfunction, author="Wolfram Research", title="{InterpolatingFunction}", year="1996", howpublished="\url{}", note=[Accessed: 13-July-2024 ]}


@online{reference.wolfram_2024_interpolatingfunction, organization={Wolfram Research}, title={InterpolatingFunction}, year={1996}, url={}, note=[Accessed: 13-July-2024 ]}