Generalizing the trapezoidal rule in the complex plane (Q2021767)
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scientific article; zbMATH DE number 7340122
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalizing the trapezoidal rule in the complex plane |
scientific article; zbMATH DE number 7340122 |
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Generalizing the trapezoidal rule in the complex plane (English)
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27 April 2021
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The authors use the trapezoidal rule to integrate periodic functions defined along some line in the complex plane using a representation of the function to be integrated by grid-based function values. The choice of the trapezoidal rule is natural because of its accuracy and simplicity. The accuracy of the trapezoidal rule can be increased, for example, by using an end correction strategy for finite interval integrations.
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Euler-Maclaurin formula
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trapezoidal rule
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contour integrals
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equispaced grids
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hexagonal grid
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