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InterpolatingFunction—Wolfram Language Documentation

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• See Also
  • Interpolation
  • CompiledFunction
  • FunctionInterpolation
  • Piecewise
  • InterpolatingPolynomial
  • BSplineFunction
  • NDSolve
  • Blend
  • FittedModel
• Related Guides
  • Curve Fitting & Approximate Functions
  • Differential Equations
• Tech Notes
  • Numerical Differential Equations
  • Expressions with Heads That Are Not Symbols
  • Approximate Functions and Interpolation
  • Implementation notes: Numerical and Related Functions
  • InterpolatingFunction Anatomy

InterpolatingFunction[domain,table]

represents an approximate function whose values are found by interpolation.

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:

Introduced in 1991 (2.0) | Updated in 1996 (3.0)

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