Derivative formulae and errors for non-uniformly spaced points

DOI10.1098/RSPA.2004.1430zbMath1186.41005OpenAlexW1983261609MaRDI QIDQ5427608

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Publication date: 21 November 2007

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2004.1430

zbMATH Keywords

Lagrange interpolationTaylor seriesfinite difference

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Numerical differentiation (65D25)

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Uses Software

• FINDIF

Cites Work

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• An optimum implicit recurrence formula for the heat conduction equation
• Generation of Finite Difference Formulas on Arbitrarily Spaced Grids
• Classroom Note:Calculation of Weights in Finite Difference Formulas
• Optimal and near-optimal advection-diffusion finite-difference schemes. II. Unsteadiness and non-uniform grid
• Polynomials arising in factoring generalized Vandermonde determinants: An algorithm for computing their coefficients

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