Runge's Phenomenon
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What it is
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large oscillations, often near interval endpoints, that can occur when increasing the degree of polynomial interpolation on equally spaced nodes
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Example
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the classing function is on
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Mitigation
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consider Chebyshev Nodes or piecewise nethods such as Cubic Spline Interpolation
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the phenomenon is not a claim that every high-degree interpolating polynomial behaves badly
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