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Numerical algorithms for problems in analysis and algebra, scientific computation

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Can numerical differentiation be applied to tensor derivatives?

I know that for a 1D function, I can calculate the numerical derivative at every point, $\DeclareMathOperator{\d}{d\!} (x_1,y_1)$, with $\d y/\d x$ where $\d y = y_2 - y_0$ and $\d x = x_2 - x_0$. If …
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