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Runge's phenomenon

Known as: Runge function, Runge's example, Runge phenomena 
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… 
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Related topics

Related topics

21 relations
Approximation theoryBernstein polynomialChebyshev nodesChebyshev polynomials

Broader (1)

Interpolation

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
Аппроксимация сингулярными вейвлетами
The problem of approximation is relevant for most engineering applications. In this connection, the universal methods of… 
2017
2017
Multidimensional quantification of uncertainty and application to a turbulent mixing model
This paper concerns the implementation of the generalized polynomial chaos (gPC) approach for parametric studies, including the… 
2016
2016
High order vector numerical integration schemes applied in state space milling stability analysis
2014
2014
On the constrained mock-Chebyshev least-squares
2011
2011
hp-Pseudospectral method for solving continuous-time nonlinear optimal control problems
In this dissertation, a direct hp-pseudospectral method for approximating the solution to nonlinear 
2011
2011
A Simple Regularization of the Polynomial Interpolation for the Resolution of the Runge Phenomenon
A polynomial interpolation based on a uniform grid yields the well-known Runge phenomenon, where maximum error is unbounded for… 
Highly Cited
2009
Highly Cited
2009
A spectrally refined interface approach for simulating multiphase flows
Highly Cited
2009
Highly Cited
2009
Exponentially-Convergent Strategies for Defeating the Runge Phenomenon for the Approximation of Non-PeriodicFunctions, PartI:Single-IntervalSchemes
Approximating a function from its values f (xi) at a set of evenly spaced points xi through (N+1)-point polynomial interpolation… 
2007
2007
Exponentially accurate Runge-free approximation of non-periodic functions from samples on an evenly spaced grid
Highly Cited
2006
Highly Cited
2006
Robust reprojection methods for the resolution of the Gibbs phenomenon
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