Eine kurze Anmerkung zur Romberg-Integration

DOI10.1007/BF01389471zbMath0535.65005OpenAlexW186173867MaRDI QIDQ791271

Kurt Jetter

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/132968

zbMATH Keywords

asymptotic inclusionasymptotically monotonous convergenceRomberg's extrapolation method

Mathematics Subject Classification ID

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

Cites Work

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• Asymptotic upper and lower bounds for results of extrapolation methods
• Asymptotische Einschließung bei konvergenzbeschleunigenden Verfahren
• Bemerkungen zur Romberg-Integration
• Error derivation in Romberg integration
• Romberg integration as a problem in interpolation theory
• On a modification of Romberg's algorithm
• Derivation of explicit expressions for the error terms in the ordinary and the modified Romberg algorithms
• Monotonicity in Romberg Quadrature
• Intervallschachtelungen beim Romberg‐Verfahren

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