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🔗 Source: people.maths.ox.ac.uk
📊 Size: 633 KB
📄 Pages: 5 pages
⬇️ Downloads: 50

Summary

Lloyd N. Trefethen discusses six myths about polynomial interpolation and quadrature, highlighting misconceptions entrenched by generations of textbooks. The myths include: polynomial interpolants diverge as n →∞, evaluating polynomial interpolants numerically is problematic, best approximations are optimal, Chebyshev points are optimal, polynomial interpolation is only for smooth functions, and the Runge phenomenon is the only important issue. Trefethen argues that these myths are not entirely false but miss important aspects, and he provides counterexamples and explanations to clarify the truths underlying each myth.

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Description

Lloyd N. Trefethen discusses six myths about polynomial interpolation and quadrature, highlighting misconceptions entrenched by generations of textbooks.

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  • File Format: PDF
  • File Size: 633 KB
  • Pages: 5
  • Language: EN
  • Total Downloads: 50
  • Last Updated: 1 month ago

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