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Finding discontinuities of piecewise-smooth functions. (English) Zbl 1131.65024

Summary: 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.

MSC:

65D25 Numerical differentiation
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