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Package motivation #7

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SouthEndMusic opened this issue Jul 25, 2024 · 1 comment
Open

Package motivation #7

SouthEndMusic opened this issue Jul 25, 2024 · 1 comment

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@SouthEndMusic
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Refactor: remove TaylorDiff as a dependency, and let the input of the evaluation and rule computation be a function which gives the first 2s derivatives of the integrand at the input x (either in place or out of place?).

Motivation: This package is useful for numerically integrating functions for which computing higher order derivatives can be cheaply implemented. This then has a preference over a gaussian quadrature rule with more nodes. Use the sine function as an example, first evaluating the quadrature rule with TaylorDiff and then with hardcoded derivatives.

@SouthEndMusic SouthEndMusic changed the title Refactor + package motivation Package motivation Jul 26, 2024
@SouthEndMusic
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The refactor was done in #14. Storing the derivatives in a preallocated cache: #15.
This issue is now only for the motivation part.

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