Monotonicity and error bound in schemes of Rombergtype for the computation of \(f^{(n)}(0)\) by central differences and extrapolation

DOI10.1007/BF01436182zbMath0337.65016OpenAlexW409501864MaRDI QIDQ1230492

Torsten Ström

Publication date: 1973

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

Full work available at URL: https://eudml.org/doc/132208

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Numerical differentiation (65D25) Numerical integration (65D30)

Related Items (3)

Asymptotic expansions for classical and generalized divided differences including applications ⋮ On numerical differentiation ⋮ The selection of interpolation points in numerical differentiation

Cites Work

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• Ausdehnung des Rombergschen Prinzips
• Asymptotic upper and lower bounds for results of extrapolation methods
• Asymptotische Einschließung bei konvergenzbeschleunigenden Verfahren
• Asymptotische Einschließung bei konvergenzbeschleunigenden Verfahren. II
• Rings of algebraic numbers and functions
• Survey of Extrapolation Processes in Numerical Analysis
• Monotonicity in Romberg Quadrature

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