A discrete algorithm for localizing the discontinuity lines of a function of two variables

DOI10.1134/S1990478917040019zbMath1399.65127OpenAlexW2770197207MaRDI QIDQ5374038

T. V. Antonova, A. L. Ageev

Publication date: 6 April 2018

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1990478917040019

zbMATH Keywords

discretizationregularization methodill-posed problemseparability thresholddiscontinuity line

Mathematics Subject Classification ID

Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items

New accuracy estimates for methods for localizing discontinuity lines of a noisy function ⋮ On the problem of global localization of discontinuity lines for a function of two variables ⋮ On the localization of fractal lines of discontinuity from noisy data

Cites Work

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• Ill-posed problems with a priori information
• Approximation of discontinuity lines for a noisy function of two variables with countably many singularities
• Approximation of discontinuity lines of a noisy function of two variables
• Localization method for lines of discontinuity of an approximately defined function of two variables

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