On forming the Romberg table

DOI10.1016/0377-0427(84)90009-8zbMath0557.65003OpenAlexW2039339640MaRDI QIDQ761762

J. A. Shanks

Publication date: 1984

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(84)90009-8

zbMATH Keywords

asymptotic expansionerror boundpropagation of errorsRomberg algorithm

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Roundoff error (65G50) Approximation to limiting values (summation of series, etc.) (40A25)

Related Items (3)

Rounding error analysis of divided differences schemes: Newton's divided differences; Neville's algorithm; Richardson extrapolation; Romberg quadrature; etc. ⋮ Increasing the convergence modulus of an asymptotic expansion ⋮ A divergent sequence of Romberg integrals

Cites Work

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• Bemerkungen zur Romberg-Integration
• Fehlerabschätzungen und Extrapolation mit rationalen Funktionen bei Verfahren vom Richardson-Typus
• Propagation of initial rounding error in Romberg-like quadrature
• Romberg tables for singular integrands
• An Error Analysis for Numerical Differentiation

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