Lagrange Polynomial Interpolation and Approximation

← Numerical Methods

Source inspiration: (Mathew 2000-2019).

Animation Focus

This page will prioritize intuitive animations that show the algorithm behavior step by step.

Planned animation ideas

• Visual state evolution of the method
• Parameter sensitivity controls
• Convergence and failure side-by-side comparison

Derivation Notes (Planned)

Short derivations will be added to explain the core equations and assumptions.

Worked Example (Planned)

A compact numerical example with intermediate steps will be included.

Implementation Notes (Planned)

Implementation details, numerical stability notes, and practical pitfalls will be added.

Legacy Animation Inventory (Stub)

• Legacy module page: Lagrange Polynomial Interpolation and Approximation (ok)
• Animation links found in module Animations paragraph: 4
• Unique animation portals: 1

Animation Portals

1. Lagrange Polynomials (ok)

• Animation item links found: 29

Animation Items

1. Lagrange & Newton Polynomial (ok)

• Main animated GIF count: 1
• http://localhost:8000/a2001/Animations/Interpolation/Lagrange/Lagrange01/Lagrangeaa.gif

2. Lagrange & Newton Polynomial (error)

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3. Lagrange & Newton Polynomial (error)

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4. Lagrange & Newton Polynomial (ok)

• Main animated GIF count: 1
• http://localhost:8000/a2001/Animations/Interpolation/Lagrange/Lagrange04/Lagrangedd.gif

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8. Lagrange & Newton Polynomial (ok)

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• http://localhost:8000/a2001/Animations/Interpolation/Lagrange/Lagrange08/Lagrangehh.gif

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12. Lagrange & Newton Polynomial (ok)

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• http://localhost:8000/a2001/Animations/Interpolation/Lagrange/Lagrange12/Lagrangell.gif

13. Lagrange & Newton Polynomial (error)

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28. Lagrange & Newton Polynomial (error)

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29. Lagrange & Newton Polynomial (error)

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References

Mathew, John H. 2000-2019. Numerical Analysis - Numerical Methods Modules. https://web.archive.org/web/20190808102217/http://mathfaculty.fullerton.edu/mathews/n2003/NumericalUndergradMod.html.