Error bounds for the numerical evaluation of Legendre polynomials by a three-term recurrence
We study the numerical evaluation of the Legendre polynomials [P.sub.n] on the interval [-1, 1] via a three-term recurrence. We prove that in a neighborhood of an endpoint, the computed approximation exactly agrees with the line tangent to [P.sub.n] at this endpoint. As a consequence, we obtain shar...
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| Veröffentlicht in: | Electronic transactions on numerical analysis 2021-01, Vol.54, p.323-332 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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