Error estimation for the composite trapezoidal formula, Numerical Methods #4

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Angewandte Mathematik für Ingenieure

Published on Sep 7, 2024
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How can the absolute approximation error be estimated upwards when calculating a definite integral using the compound trapezoidal formula? In this video, physicist Dietmar Haase shows how the absolute approximation error can be estimated upwards when calculating a definite integral using the compound trapezoidal formula. First, the definite integral to be calculated is approximated using only a single trapezoid and then this result is used to approximate the initial interval broken down into n equidistant subintervals. It can be seen that the absolute approximation error is smaller the smaller the interval width of the subintervals and larger the greater the curvature of the Riemann-integrable function under consideration. Website: https://www.ingmathe.de Youtube channel: / ingmathede Online calculator: https://www.wolframalpha.com

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