Concepedia

Divergence (Runge Phenomenon) for least-squares polynomial approximation on an equispaced grid and Mock–Chebyshev subset interpolation

John P. Boyd, Fei Xu

Applied Mathematics and Computation · 2009 · 100 citations · 5 references

DOI

Concepts

References

5

On the Runge Example

James F. Epperson · American Mathematical Monthly · 1987 · 128 citations

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Two results on polynomial interpolation in equally spaced points

Lloyd N. Trefethen, J. A. C. Weideman · Journal of Approximation Theory · 1991 · 87 citations

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Exponentially-Convergent Strategies for Defeating the Runge Phenomenon for the Approximation of Non-Periodic Functions, Part I: Single-Interval Schemes

John P. Boyd, Jun Rong Ong · Communications in Computational Physics · 2009 · 63 citations

, , +13

Bounds for polynomials with a unit discrete norm

Evguenii Andreevich Rakhmanov · Annals of Mathematics · 2007 · 51 citations · Full text

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Exponentially accurate Runge-free approximation of non-periodic functions from samples on an evenly spaced grid

John P. Boyd · Applied Mathematics Letters · 2007 · 19 citations

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