Methods for estimating the remainder in linear rules of approximation. Application to the Romberg algorithm
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Publication:2528224
DOI10.1007/BF02162979zbMath0161.12704MaRDI QIDQ2528224
Publication date: 1966
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/131709
Related Items (3)
An Error Analysis for Numerical Multiple Integration. I ⋮ Asymptotic properties of minimum norm and optimal quadratures ⋮ Optimal approximation and error bounds in seminormed spaces
Cites Work
- Ausdehnung des Rombergschen Prinzips
- Eine Verallgemeinerung der Summenformel von Euler und ihre Anwendung auf ausgewählte Probleme der numerischen Integration
- Über ableitungsfreie Schranken für Quadraturfehler. II: Ergänzungen und Möglichkeiten zur Verbesserung. (On constraints without derivatives for quadrature errors. II: Completions and possibilities to improve)
- Über ableitungsfreie Schranken für Quadraturfehler
- Bemerkungen zur Romberg-Integration
- Altes und Neues über numerische Quadratur
- Note on waves through gases at pressures small compared with the magnetic pressure, with applications to upper-atmosphere aerodynamics
- Über das Restglied der Mittelwertformeln für angenäherte Quadratur
- On the Estimation of Quadrature Errors for Analytic Functions
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