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Finding discontinuities of piecewise-smooth functions

Research paper by A. G. Ramm

Indexed on: 29 Aug '05Published on: 29 Aug '05Published in: Mathematics - Numerical Analysis



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.