Exit criteria and monotonicity in compound quadrature of Gaussian type

DOI10.1007/BF01385700zbMath0801.65015OpenAlexW1970264096MaRDI QIDQ1326494

Klaus-Jürgen Förster

Publication date: 18 May 1994

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

Full work available at URL: https://eudml.org/doc/133765

zbMATH Keywords

compound quadrature rulesGauss-Lobatto quadrature formulasmonotonicity of errors

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Remainders in approximation formulas (41A80)

Related Items

Asymptotically optimal definite quadrature formulae of 4th order, Modified product cubature formulae

Uses Software

• QUADPACK

Cites Work

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• Dividierte Differenzen und Monotonie von Quadraturformeln
• Error estimates for interpolatory quadrature formulae
• Monotony in interpolatory quadratures
• Monotonie bei den Quadraturverfahren von Gauß und Newton-Cotes
• Bounds on the error of Gauss-type quadratures
• Über Monotonie und Fehlerkontrolle bei den Gregoryschen Quadraturverfahren
• Error Bounds and Stopping Rules for Extrapolation Methods
• Fehlerschranken bei der Romberg-Quadratur
• Exit Criteria for Newton–Cotes Quadrature Rules
• Monotonicity of Quadrature Approximations
• Monotonicity in Romberg Quadrature
• Intervallschachtelungen beim Romberg‐Verfahren
• Exit Criteria for Simpson's Compound Rule