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- W1989701302 abstract "The first or higher derivatives of a function may be estimated numerically by applying Neville's polynomial extrapolation process to a sequence of approximations to the derivative, each consisting of a suitable linear combination of function values. The sequences of evaluation points which minimise the magnification of rounding errors relative to the truncation error for first, second and third order derivatives are determined, and it is shown that by defining the sequences of evaluation points by certain geometric progressions the amount of computation may be reduced without greatly increasing the rounding error magnification." @default.
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- W1989701302 date "1980-09-01" @default.
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- W1989701302 title "The selection of interpolation points in the numerical approximation of second and third order derivatives" @default.
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- W1989701302 doi "https://doi.org/10.1016/0771-050x(80)90030-3" @default.
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