Newton interpolation using \(\Re \)-Leja sequences

DOI10.1007/s10543-022-00918-yzbMath1498.41002OpenAlexW4229065741MaRDI QIDQ2100545

Moulay Abdellah Chkifa

Publication date: 22 November 2022

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-022-00918-y

zbMATH Keywords

Lagrange interpolationNewton interpolation formula\( \Re \)-Leja sequences

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Uses Software

• mctoolbox

Cites Work

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• High-dimensional adaptive sparse polynomial interpolation and applications to parametric PDEs
• On the Lebesgue constant of Leja sequences for the unit disk and its applications to multivariate interpolation
• Pivoting strategies leading to diagonal dominance by rows
• Optimal stability of the Lagrange formula and conditioning of the Newton formula
• On the Lebesgue constant of Leja sequences for the complex unit disk and of their real projection
• Optimal interval length for the collocation of the Newton interpolation basis
• On the Stability of Polynomial Interpolation Using Hierarchical Sampling
• Lagrange interpolation at real projections of Leja sequences for the unit disk
• New Bounds on the Lebesgue Constants of Leja Sequences on the Unit Disc and on $$\mathfrak {R}$$-Leja Sequences
• High Degree Polynomial Interpolation in Newton Form
• Interpolation Processes
• Newton Interpolation in Fejer and Chebyshev Points
• Barycentric Lagrange Interpolation
• The Accuracy of Solutions to Triangular Systems
• Accuracy and Stability of Numerical Algorithms
• Numerical Methods for Special Functions

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