On the Runge Example¶
Epperson, J. F. (1987). On the Runge Example. The American Mathematical Monthly, 94(4), 329-341.
Cited by¶
1 citation across 1 artifact.
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Mechanisms¶
- Interpolation
- High-degree polynomial interpolation famously oscillates wildly between the very points it passes through — Runge's phenomenon — so a fit that looks sophisticated can be worse than a straight line.
This sourceEpperson's Runge example shows equidistant high-degree polynomial interpolants diverging near interval ends even though they pass through every node, while fixed-degree piecewise interpolation can converge.
- High-degree polynomial interpolation famously oscillates wildly between the very points it passes through — Runge's phenomenon — so a fit that looks sophisticated can be worse than a straight line.
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