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The Runge Example for Interpolation and Wilkinson's Examples for Rootfinding

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4614-8453-0openalex-snapshot
A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis
inferredcites →https://doi.org/10.1007/pl00005392openalex-snapshot
The condition number of real Vandermonde, Krylov and positive definite Hankel matrices
inferredcites →https://doi.org/10.1016/0167-8396(87)90012-4openalex-snapshot
On the numerical condition of polynomials in Bernstein form
inferredcites →https://doi.org/10.1016/j.cam.2005.10.011openalex-snapshot
Pseudospectra and delay differential equations
inferredcites →https://doi.org/10.1016/j.jat.2017.07.005openalex-snapshot
Optimal stability of the Lagrange formula and conditioning of the Newton formula
inferredcites →https://doi.org/10.1090/s0025-5718-96-00759-4openalex-snapshot
On the optimal stability of the Bernstein basis
inferredcites →https://doi.org/10.1137/18m1226312openalex-snapshot
A New Approach to Probabilistic Rounding Error Analysis

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4188694openalex-extracted
PGLM: Piecewise Generalized Linear Modeling of Ventricular Repolarization for Estimation of ECG T-Wave Alternans
inferred← citeshttps://doi.org/10.1007/s00500-024-09918-2openalex-snapshot
On the accuracy of interpolation based on single-layer artificial neural networks with a focus on defeating the Runge phenomenon
inferred← citeshttps://doi.org/10.1007/s00500-025-10424-2openalex-snapshot
Short-term time series prediction based on evolutionary interpolation of Chebyshev polynomials with internal smoothing
inferred← citeshttps://doi.org/10.1007/s11075-022-01462-0openalex-snapshot
Extrapolation quadrature from equispaced samples of functions with jumps
inferred← citeshttps://doi.org/10.1016/j.cam.2023.115479openalex-snapshot
Exponential fitting for interpolation of oscillatory functions. A numerical approach
inferred← citeshttps://doi.org/10.1137/20m135786xopenalex-snapshot
Computation and Applications of Mathieu Functions: A Historical Perspective
inferred← citeshttps://doi.org/10.1186/s13634-025-01227-6openalex-snapshot
PGLM: Piecewise Generalized Linear Modeling of Ventricular Repolarization for Estimation of ECG T-wave Alternans
inferred← citeshttps://doi.org/10.37376/fesj.vi19.7429openalex-snapshot
مقارنة بين بعض طرق الاستكمال بكثيرات حدود لاغرانج التقليدية والمعدلة و نيوتن و كثيرات حدود تشيبيشيف
inferred← citeshttps://doi.org/10.5206/mt.v4i2.19001openalex-snapshot
Barycentric Hermite Interpolation
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