ReddRadar
Agent skill
interpolation-approximation
Function interpolation and approximation methods
Install this agent skill to your Project
npx add-skill https://github.com/a5c-ai/babysitter/tree/main/library/specializations/domains/science/mathematics/skills/interpolation-approximation
Metadata
Additional technical details for this skill
- phase
- 6
- domain
- science
- category
- numerical-analysis
- specialization
- mathematics
SKILL.md
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
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