About a dubious proof of a correct result about closed Newton Cotes error formulas (Q6611500)
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scientific article; zbMATH DE number 7919403
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | About a dubious proof of a correct result about closed Newton Cotes error formulas |
scientific article; zbMATH DE number 7919403 |
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About a dubious proof of a correct result about closed Newton Cotes error formulas (English)
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26 September 2024
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The general Newton-Cotes formulae are a central class of methods for the numerical integration of functions in one variable. A number of algorithms such as the midpoint rule or Simpson's formula or the trapezoidal rule are special cases of the Newton-Cotes methods. In this paper, a corrected proof of their convergence behaviour is presented.
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Newton Cotes
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closed
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integration
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error formulas
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Simpson \(\frac{3}{8}\)
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