Explicit representations for local Lagrangian numerical differentiation

DOI10.1007/s10114-005-0902-0zbMath1122.65024OpenAlexW2003039679MaRDI QIDQ884906

Feng Cui, Xinghua Wang, Heyu Wang

Publication date: 7 June 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0902-0

zbMATH Keywords

asymptotic expansionsymmetric groupexplicit representationlocal estimate\(k\)-numerical differentiationcycle indicator

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Numerical differentiation (65D25)

Related Items

A remainder formula of numerical differentiation for the generalized Lagrange interpolation ⋮ On a \(q\)-analogue of Faà di Bruno's determinant formula ⋮ A unified approach to some recurrence sequences via Faà di Bruno's formula ⋮ Some extensions of Faà di Bruno's formula with divided differences ⋮ Hermite interpolation and its numerical differentiation formula involving symmetric functions ⋮ Representation for the Lagrangian numerical differentiation formula involving elementary symmetric functions ⋮ On the Hermite interpolation ⋮ Simplified analytical expressions for numerical differentiation via cycle index ⋮ A meshless finite difference method based on polynomial interpolation

Cites Work

• On the divided differences of the remainder in polynomial interpolation
• The Landau problem on compact intervals and optimal numerical differentiation
• The pseudospectral method for solving differential eigenvalue problems
• Error bounds for Lagrange interpolation
• Kombinatorische Anzahlbestimmungen für Gruppen, Graphen und chemische Verbindungen
• A divided difference formula for the error in Hermite interpolation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item