Interpolation approximation
Function interpolation and approximation methodsFrom its SKILL.md
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SKILL.md
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Interpolation and Approximation
Purpose
Provides function interpolation and approximation methods for data fitting and function representation.
Capabilities
- Polynomial interpolation (Lagrange, Newton, Chebyshev)
- Spline interpolation (cubic, B-spline)
- Rational approximation (Pade)
- Least squares fitting
- Minimax approximation (Remez algorithm)
- Approximation error bounds
Usage Guidelines
- Method Selection: Choose based on smoothness and accuracy needs
- Node Placement: Use Chebyshev nodes to minimize Runge phenomenon
- Spline Order: Select spline degree based on continuity requirements
- Error Analysis: Bound approximation errors rigorously
Tools/Libraries
- Chebfun
- scipy.interpolate
What ships with it
Read from the repository
Just SKILL.md. No reference files, no scripts.