Construct · 1 fields · 1 citations

Runge's phenomenon: a standalone construct

One name. One construct. A landmark on the map.

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Runge'sphenomenon1 CONSTRUCTRunge's phenomenonEPPERSON · NUMERICAL ANALYSIS

A single standalone construct; nearby constructs are located against it in the Collider. Tap a field for its definition, unit, and measures.

Numerical analysis

large oscillations near the interval ends when high-degree polynomials interpolate a smooth function at equally spaced points, so error grows with degree.

In numerical analysis, Runge's phenomenon refers to large oscillations near the interval ends when high-degree polynomials interpolate a smooth function at equally spaced points, so error grows with degree. This meaning comes from Epperson (1987) in The American Mathematical Monthly.[1]

Unit
Recovery means
Measured by

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Nearby constructs

degree1 fields · 1 citationsanchor · a standalone constructerror4 fields · 8 citationsjingle · one word, four constructsfunction5 fields · 6 citationsjingle · one word, five constructs

References

  1. Epperson, J. F. (1987). On the Runge Example. The American Mathematical Monthly, 94(4), 329-341. https://doi.org/10.1080/00029890.1987.12000642

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