An algorithmic approach to Hermite-Birkhoff-interpolation

DOI10.1007/BF01400313zbMath0468.65008OpenAlexW2005091828MaRDI QIDQ1156450

Günter W. Mühlbach

Publication date: 1981

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132735

zbMATH Keywords

numerical exampleinterpolation errorbiorthogonal expansionHermite-Birkhoff-interpolationChebyshev-systemsNewton's classical formula

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Related Items (6)

Birkhoff Polynomial Basis ⋮ Reconstruction of a function from Hermite-Birkhoff data ⋮ Implicit multiderivative collocation solvers for linear partial differential equations with discontinuous Galerkin spatial discretizations ⋮ Polynomial algebra for Birkhoff interpolants ⋮ A general recurrence interpolation formula and its applications to multivariate interpolation ⋮ An error term and uniqueness for Hermite-Birkhoff interpolation involving only function values and/or first derivative values

Cites Work

• On Tschebycheffian spline functions
• Some Poised and Nonpoised Problems of Interpolation
• Newton‐ und Hermite‐Interpolation mit Čebyšev‐Systemen
• A Partial Characterization of Poised Hermite–Birkhoff Interpolation Problems
• On Hermite-Birkhoff interpolation

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