interpolation-approximation
// Function interpolation and approximation methods
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nameinterpolation-approximation
descriptionFunction interpolation and approximation methods
allowed-toolsBash,Read,Write,Edit,Glob,Grep
metadata[object Object]
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