# Interpolation Approximation

> Function interpolation and approximation methods

- Skill: `a5c-ai/interpolation-approximation` (Agent Skill)
- Install (CLI): `npx skillmds@latest add a5c-ai/interpolation-approximation`
- Raw SKILL.md: https://api.skillmd.com/api/skills/a5c-ai/interpolation-approximation/raw
- Safety review: pending (external: skill-scanner PASS, skillspector PASS)
- Works with: Claude Code, Claude.ai, OpenAI Codex
- Category: Coding & Dev Tools
- Author: a5c-ai (https://skillmd.com/u/a5c-ai)
- Updated: 2026-09-09
- Page: https://skillmd.com/skills/a5c-ai/interpolation-approximation

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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

1. **Method Selection**: Choose based on smoothness and accuracy needs
2. **Node Placement**: Use Chebyshev nodes to minimize Runge phenomenon
3. **Spline Order**: Select spline degree based on continuity requirements
4. **Error Analysis**: Bound approximation errors rigorously

## Tools/Libraries

- Chebfun
- scipy.interpolate