Vol. 3, issue 11, article # 14

Kavkyanov S.I., Strepetova S.V. Numerical differentiation of experimental data using the fourier transform. // Atmospheric and oceanic optics. 1990. V. 3. No. 11. P. 1102-1106.
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Abstract:

The conditions under which the Fourier transform can be used for numerical differentiation of functions that are measured with some error are examined. Methods are given for taking into account boundary conditions on the differentiable function and its derivatives. The effect of the uncertainty of the boundary conditions on the quality of the differentiation is studied in a numerical experiment.

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