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• W2131929042 abstract "If experimental tables are numerically integrated using quadrature formulas, then the measurement errors of the physical instrument is not taken into account. The result of such numerical integration will be inaccurate because of the accumulation of errors due to the summation of random values, and the residual term of the quadrature formula cannot be calculated using solely classical concepts. The traditional approach consists of applying various smoothing algorithms. In this case, methods are used that are unrelated to the problem of integrating itself, which leads to excessive smoothing of the result. The authors propose a method for numerical integration of inaccurate numerical functions that minimizes the residual term of the quadrature formula for the set of unknown values based on the error confidence intervals by using ill-posed problem algorithms. The high level of effectiveness of this new method, for which it is sufficient to know the error level of the signal, is demonstrated through examples." @default.
• W2131929042 created "2016-06-24" @default.
• W2131929042 creator A5074028117 @default.
• W2131929042 creator A5091598186 @default.
• W2131929042 date "2014-05-19" @default.
• W2131929042 modified "2023-09-27" @default.
• W2131929042 title "Method for Integrating Tabular Functions that Considers Errors" @default.
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• W2131929042 doi "https://doi.org/10.11648/j.acm.20140302.14" @default.
• W2131929042 hasPublicationYear "2014" @default.
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