Finding an optimal partition for a numerical integration using the trapezoidal rule

DOI10.1016/0378-4754(79)90139-3zbMath0443.65006OpenAlexW2055684975MaRDI QIDQ1144355

J. Dumontet, Jean Vignes

Publication date: 1979

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(79)90139-3

zbMATH Keywords

algorithmquadrature ruletrapezoidal rulecomputational erroranalytic errordifferent step lengthsmachine arithmeticoverall error

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Roundoff error (65G50) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items

Review on stochastic approach to round-off error analysis and its applications, Détermination d'un pas optimum d'intégration pour la méthode de Simpson

Cites Work

• New methods for evaluating the validity of the results of mathematical computations
• Evaluation de l'incertitude sur la solution d'un système linéaire
• Error Analysis of Direct Methods of Matrix Inversion
• Détermination du pas optimal dans le calcul des dérivées sur ordinateur
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