“Know how to solve every problem that has been solved.” “What I cannot create, I do not understand.” — Richard Feynman

Interpolating at Chebyshev nodes avoids Runge's phenomenon, which afflicts polynomial interpolation at equispaced points.

Claims

Interpolating at Chebyshev nodes avoids Runge's phenomenon, which afflicts polynomial interpolation at equispaced points.

✓ supported structural 90% stub numerical-methodsapproximation-theoryinterpolationpolynomials

Connections

instance-of orthogonal-polynomials-by-recurrence

Referenced by

generalizes Classical orthogonal polynomials are calculated in numerical contexts with their three-term recurrence relation, not explicit formulas — the latter suffer catastrophic cancellation at high degree.