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Paper's Title:
Reconstruction of Discontinuities of Functions Given Noisy Data
Author(s):
Eric D. Mbakop
67A Beaver Park Rd,
Framingham, MA, 01702,
U. S. A.
ericsteve86@yahoo.fr
Abstract:
Suppose one is given noisy data of a discontinuous piecewise-smooth
function along with a bound on its second derivative. The locations
of the points of discontinuity of f and their jump sizes are not
assumed known, but are instead retrieved stably from the noisy data.
The novelty of this paper is a numerical method that allows one to
locate some of these points of discontinuity with an accuracy that
can be made arbitrarily small.
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