FunctionInterpolation

FunctionInterpolation[expr,{x,xmin,xmax}]

evaluates expr with x running from xmin to xmax and constructs an InterpolatingFunction object which represents an approximate function corresponding to the result.

FunctionInterpolation[expr,{x,xmin,xmax},{y,ymin,ymax},…]

constructs an InterpolatingFunction object with several arguments.

Details and Options

Examples

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Basic Examples  (1)

Computes an InterpolatingFunction representation of Exp[-Sin[x]^2]:

Use the resulting function as any function:

Scope  (1)

Use derivatives to improve the smoothness of the approximation:

Wolfram Research (1996), FunctionInterpolation, Wolfram Language function, https://reference.wolfram.com/language/ref/FunctionInterpolation.html.

Text

Wolfram Research (1996), FunctionInterpolation, Wolfram Language function, https://reference.wolfram.com/language/ref/FunctionInterpolation.html.

CMS

Wolfram Language. 1996. "FunctionInterpolation." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/FunctionInterpolation.html.

APA

Wolfram Language. (1996). FunctionInterpolation. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/FunctionInterpolation.html

BibTeX

@misc{reference.wolfram_2024_functioninterpolation, author="Wolfram Research", title="{FunctionInterpolation}", year="1996", howpublished="\url{https://reference.wolfram.com/language/ref/FunctionInterpolation.html}", note=[Accessed: 21-December-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_functioninterpolation, organization={Wolfram Research}, title={FunctionInterpolation}, year={1996}, url={https://reference.wolfram.com/language/ref/FunctionInterpolation.html}, note=[Accessed: 21-December-2024 ]}