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- W1964894721 abstract "We consider a numerical approximation of the mth derivative of a real-valued function of a real variable at a single point by the n-point rule. The coefficients of the n-point rule are obtained. In the general case this formula is of degree $n - m$ . We give a necessary and sufficient condition for the n-point rule to be of degree $n - m + 1$. It is also proved that no n-point rule is of degree $n - m + 2$. For the second derivative we give a normalized four-point rule of degree 3 which is optimal in the sense of minimizing the truncation error." @default.
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- W1964894721 date "1986-06-01" @default.
- W1964894721 modified "2023-09-22" @default.
- W1964894721 title "On a Numerical Differentiation" @default.
- W1964894721 doi "https://doi.org/10.1137/0723044" @default.
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