A method for the localization of singularities of a solution to a convolution-type equation of the first kind with a step kernel

DOI10.3103/S1066369X11070012zbMath1302.65273OpenAlexW1981282959MaRDI QIDQ471496

A. L. Ageev, T. V. Antonova

Publication date: 17 November 2014

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

Full work available at URL: https://doi.org/10.3103/s1066369x11070012

zbMATH Keywords

regularization methodill-posed problemslocalization of singularitiesseparability threshold

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Cites Work

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• Problem on separation of singularities
• Localization algorithms for singularities of solutions to convolution equations of the first kind
• Regularizing algorithms for detecting discontinuities in ill-posed problems
• Approximation of function with finite number of discontinuities by noised data

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