Error bounds for Romberg quadrature

DOI10.1007/s002110050424zbMath0938.65056OpenAlexW1971669888MaRDI QIDQ1806009

J.-W. Fischer, Helmut Brass

Publication date: 1 November 1999

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

Full work available at URL: https://doi.org/10.1007/s002110050424

zbMATH Keywords

comparison of methodserror boundsGauss quadratureextrapolation to the limitRomberg quadrature

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Remainders in approximation formulas (41A80)

Related Items (4)

Rounding error analysis of divided differences schemes: Newton's divided differences; Neville's algorithm; Richardson extrapolation; Romberg quadrature; etc. ⋮ A Chebyshev-Markov-Stieltjes separation type theorem for classical Romberg quadrature ⋮ A divergent sequence of Romberg integrals ⋮ Some numerical applications of generalized Bernstein operators

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