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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

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2018
2018
Аппроксимация сингулярными вейвлетами
The problem of approximation is relevant for most engineering applications. In this connection, the universal methods of… 
2017
2017
Proposal of heuristic regression method applied in descriptive data analysis: case studies
The purpose of this paper is to use the hybridized optimization method in order to find mathematical structures for analysis of… 
2016
2016
Spectral/hp Hull: A Degree of Freedom Reducing Discontinuous Spectral Element Method for Conservation Laws with Application to Compressible Fluid Flow
In conventional spectral/finite element methods, the triangulation/quadrilateralization of the domain produces many interior… 
2015
2015
Picard Trajectory Approximation Iteration for Efficient Orbit Propagation
Abstract : This report covers the third year of the contract AFOSR Contract FA9550-11-1-0279 which has involved the effort of the… 
2015
2015
Advanced Gauss Pseudospectral Method for Continuous-time Hammerstein System Identification
In the paper, an advanced Gauss pseudospectral method (AGPM) is proposed to estimate the parameters of the continuous-time (CT… 
2014
2014
ANALYTICAL SOLUTION OF GLOBAL 2 D DESCRIPTION OF SHIP GEOMETRY WITH DISCONTINUITIES USING COMPOSITION OF POLYNOMIAL RADIAL BASIS FUNCTIONS UDC 629
One of the well-known problems in the curves and surfaces reconstruction theory regarding global analytic object description… 
2013
2013
Solving the problem of Runge phenomenon by coefficients-and-order-determination method
The Runge phenomenon demonstrates that it is not suitable to use high-order interpolation polynomials with equidistant nodes to… 
2011
2011
Accurate state-of-charge determination for lithium-iron phosphate battery packs
................................................................................................................................................. iii Acknowledgements ................................................................................................................................. v Table of 
2011
2011
Treatment of Runge's phenomenon in fitting & interpolating GPS precise ephemeris
Broadcast ephemeris and precise ephemeris are the foundation of using GPS for positioning;the ground control part updates… 
2006
2006
RADIAL BASIS FUNCTIONS - SOME RECENT DEVELOPMENTS
Radial basis functions (RBF) is a recent methodology for scattered data interpolation. offering possibilities for meshfree…