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

DOI10.1137/18M1181985zbMath1485.65014arXiv1804.08561MaRDI QIDQ5216250

Leili Rafiee Sevyeri, Robert M. Corless

Publication date: 17 February 2020

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.08561

zbMATH Keywords

sensitivityinterpolationconditioningrootfinding

Mathematics Subject Classification ID

Numerical interpolation (65D05)

Related Items (3)

Exponential fitting for interpolation of oscillatory functions. A numerical approach ⋮ Extrapolation quadrature from equispaced samples of functions with jumps ⋮ Computation and Applications of Mathieu Functions: A Historical Perspective

Uses Software

• mctoolbox
• UNCMND
• pchip

Cites Work

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• On the numerical condition of polynomials in Bernstein form
• The condition number of real Vandermonde, Krylov and positive definite Hankel matrices
• Optimal stability of the Lagrange formula and conditioning of the Newton formula
• Pseudospectra and delay differential equations
• On the optimal stability of the Bernstein basis
• Accuracy and Stability of Numerical Algorithms
• A New Approach to Probabilistic Rounding Error Analysis
• A Graduate Introduction to Numerical Methods
• Numerical Analysis

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