Example of error estimation for the composite Simpson formula, Numerical Methods #7 - Angewandte Mathematik für Ingenieure - World Latest Movie, Series, Videos and Trailers | fetery.com

Example of error estimation for the composite Simpson formula, Numerical Methods #7

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Angewandte Mathematik für Ingenieure

Published on Sep 28, 2024

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How can the number of support points required or the number of equidistant sub-intervals required to calculate a definite integral using the compound Simpson formula for a given absolute error? In this video, physicist Dietmar Haase uses the Gaussian bell curve, which is relevant in probability theory, to show how the absolute error for calculating the definite integral can be estimated upwards using the compound Simpson formula. Because the antiderivative of the Gaussian bell curve does exist but cannot be represented analytically using elementary functions, one has to rely on numerical approximation methods for the explicit evaluation. In particular, it shows how the required minimum number of support points or the required minimum number of equidistant sub-intervals can be determined for a given absolute error so that the required absolute error can be met with certainty. Website: https://www.ingmathe.de Youtube channel: / ingmathede Online calculator: https://www.wolframalpha.com

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