Propagation of initial rounding error in Romberg-like quadrature

DOI10.1007/BF01933660zbMath0311.65015OpenAlexW2062385224MaRDI QIDQ4069676

Dirk P. Laurie

Publication date: 1975

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01933660

Mathematics Subject Classification ID

Roundoff error (65G50) Approximate quadratures (41A55) Numerical integration (65D30)

Related Items

Rounding error analysis of divided differences schemes: Newton's divided differences; Neville's algorithm; Richardson extrapolation; Romberg quadrature; etc., An algorithm for the Hausdorff moment problem, Romberg integration as a problem in interpolation theory, A divergent sequence of Romberg integrals, On forming the Romberg table, New convergence results on the generalized Richardson extrapolation process GREP$^{(1)}$ for logarithmic sequences

Cites Work

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• Quasi double-precision in floating point addition
• Accurate floating-point summation
• Implementation of a low round-off summation method