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 Detection of C2-singularities using uniform spline approximations
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/21427

title: Detection of C2-singularities using uniform spline approximations
authors: Nagler, Johannes
Kaehler, Uwe
keywords: Inverse theorem
Schoenberg operator
Singularity detection
Spline approximation
issue date: 2017
publisher: Wiley
abstract: For the detection of C2-singularities, we present lower estimates for the error in Schoenberg variation-diminishing spline approximation with equidistant knots in terms of the classical second-order modulus of smoothness. To this end, we investigate the behaviour of the iterates of the Schoenberg operator. In addition, we show an upper bound of the second-order derivative of these iterative approximations. Finally, we provide an example of how to detect singularities based on the decay rate of the approximation error.
URI: http://hdl.handle.net/10773/21427
ISSN: 1099-1476
publisher version/DOI: https://doi.org/10.1002/mma.4614
source: Mathematical Methods in the Applied Sciences
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