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- Runges_phenomenon abstract "In the mathematical field of numerical analysis, Runge's phenomenon is a problem of oscillation at the edges of an interval that occurs when using polynomial interpolation with polynomials of high degree over a set of equispaced interpolation points. It was discovered by Carl David Tolmé Runge (1901) when exploring the behavior of errors when using polynomial interpolation to approximate certain functions.The discovery was important because it shows that going to higher degrees does not always improve accuracy. The phenomenon is similar to the Gibbs phenomenon in Fourier series approximations.".
- Runges_phenomenon thumbnail Rungesphenomenon.png?width=300.
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- Runges_phenomenon wikiPageRevisionID "683157668".
- Runges_phenomenon wikiPageWikiLink Approximation_theory.
- Runges_phenomenon wikiPageWikiLink Bernstein_polynomial.
- Runges_phenomenon wikiPageWikiLink Carl_David_Tolmé_Runge.
- Runges_phenomenon wikiPageWikiLink Category:Continuous_mappings.
- Runges_phenomenon wikiPageWikiLink Category:Interpolation.
- Runges_phenomenon wikiPageWikiLink Chebyshev_nodes.
- Runges_phenomenon wikiPageWikiLink Continuous_function.
- Runges_phenomenon wikiPageWikiLink Gibbs_phenomenon.
- Runges_phenomenon wikiPageWikiLink Interpolation.
- Runges_phenomenon wikiPageWikiLink Interval_(mathematics).
- Runges_phenomenon wikiPageWikiLink Least_squares.
- Runges_phenomenon wikiPageWikiLink Mathematics.
- Runges_phenomenon wikiPageWikiLink Numerical_analysis.
- Runges_phenomenon wikiPageWikiLink Polynomial.
- Runges_phenomenon wikiPageWikiLink Polynomial_interpolation.
- Runges_phenomenon wikiPageWikiLink Runges_phenomenon.
- Runges_phenomenon wikiPageWikiLink Spline_(mathematics).
- Runges_phenomenon wikiPageWikiLink Spline_curve.
- Runges_phenomenon wikiPageWikiLink Stone–Weierstrass_theorem.
- Runges_phenomenon wikiPageWikiLink Taylor_series.
- Runges_phenomenon wikiPageWikiLink Uniform_convergence.
- Runges_phenomenon wikiPageWikiLink Weierstrass_approximation_theorem.
- Runges_phenomenon wikiPageWikiLink File:Rungesphenomenon.png.
- Runges_phenomenon wikiPageWikiLinkText "Runge's phenomenon".
- Runges_phenomenon wikiPageWikiLinkText "classical example, due to Carl Runge".
- Runges_phenomenon wikiPageWikiLinkText "oscillations between exact-fit values".
- Runges_phenomenon hasPhotoCollection Runges_phenomenon.
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- Runges_phenomenon subject Category:Continuous_mappings.
- Runges_phenomenon subject Category:Interpolation.
- Runges_phenomenon hypernym Problem.
- Runges_phenomenon type Disease.
- Runges_phenomenon type Redirect.
- Runges_phenomenon comment "In the mathematical field of numerical analysis, Runge's phenomenon is a problem of oscillation at the edges of an interval that occurs when using polynomial interpolation with polynomials of high degree over a set of equispaced interpolation points.".
- Runges_phenomenon label "Runge's phenomenon".
- Runges_phenomenon label "Runges phenomenon".
- Runges_phenomenon sameAs Fenomen_de_Runge.
- Runges_phenomenon sameAs Runges_phenomenon.
- Runges_phenomenon sameAs Fenómeno_de_Runge.
- Runges_phenomenon sameAs پدیده_رونگه.
- Runges_phenomenon sameAs Phénomène_de_Runge.
- Runges_phenomenon sameAs रुंग_परिघटना.
- Runges_phenomenon sameAs Fenomeno_di_Runge.
- Runges_phenomenon sameAs ルンゲ現象.
- Runges_phenomenon sameAs Efekt_Rungego.
- Runges_phenomenon sameAs Fenómeno_de_Runge.
- Runges_phenomenon sameAs m.01ct76.
- Runges_phenomenon sameAs Fenomenul_Runge.
- Runges_phenomenon sameAs Феномен_Рунге.
- Runges_phenomenon sameAs Rungeho_jav.
- Runges_phenomenon sameAs Runges_fenomen.
- Runges_phenomenon sameAs Феномен_Рунге.
- Runges_phenomenon sameAs Q1990319.
- Runges_phenomenon sameAs Q1990319.
- Runges_phenomenon sameAs 龙格现象.
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- Runges_phenomenon depiction Rungesphenomenon.png.
- Runges_phenomenon isPrimaryTopicOf Runges_phenomenon.