On the localization of fractal lines of discontinuity from noisy data

DOI10.3103/S1066369X23090037OpenAlexW4389782742MaRDI QIDQ6117475

T. V. Antonova, A. L. Ageev

Publication date: 19 February 2024

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x23090037

zbMATH Keywords

discretizationregularization methodill-posed problemLipschitz conditionfractaldiscontinuity lineglobal localization

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Cites Work

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• Ill-posed problems with a priori information
• On the problem of global localization of discontinuity lines for a function of two variables
• New accuracy estimates for methods for localizing discontinuity lines of a noisy function
• Approximation of discontinuity lines of a noisy function of two variables
• A discrete algorithm for localizing the discontinuity lines of a function of two variables
• Localization method for lines of discontinuity of an approximately defined function of two variables

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