Interpolation Approximation

Function interpolation and approximation methods

a5c-ai Updated 1.7k repo stars

File contents

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

a5c-ai/babysitter/tree/main/library/specializations/domains/science/mathematics/skills/interpolation-approximation commit f54daa5a23

Frequently asked questions

npx skillmds@latest add a5c-ai/interpolation-approximation