Alexander G. Ramm
Abstract
Formulas for stable differentiation of piecewise-smooth functions are given. The data are noisy values of these functions. The locations of discontinuity points and the sizes of the jumps across these points are not assumed known, but found stably from the noisy data.
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Formulas for stable differentiation of piecewise-smooth functions are given. The data are noisy values of these functions. The locations of discontinuity points and the sizes of the jumps across these points are not assumed known, but found stably from the noisy data.
Key concepts: Classification of discontinuities, Piecewise, Discontinuity (linguistics), Mathematics, Noisy data, Mathematical analysis, Algorithm