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Publications in Math-Net.Ru
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Regular algorithms for the localization of discontinuity lines based on a separation of perturbed function values
Sib. Zh. Vychisl. Mat., 28:3 (2025), 241–256
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Study of separation-based methods for localization of discontinuity lines
Trudy Inst. Mat. i Mekh. UrO RAN, 31:3 (2025), 5–19
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On the localization of fractal discontinuity lines from noisy data
Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 9, 27–44
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A Study of New Methods for Localizing Discontinuity Lines on Extended Correctness Classes
Trudy Inst. Mat. i Mekh. UrO RAN, 29:2 (2023), 10–22
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Approximation of the Normal to the Discontinuity Lines of a Noisy Function
Trudy Inst. Mat. i Mekh. UrO RAN, 28:2 (2022), 7–23
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Algorithms for localizing discontinuity lines with a new type of averaging
Trudy Inst. Mat. i Mekh. UrO RAN, 27:4 (2021), 5–18
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New accuracy estimates for methods for localizing
discontinuity lines of a noisy function
Sib. Zh. Vychisl. Mat., 23:4 (2020), 351–364
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Investigation of methods of localization of $q$-jumps and discontinities of firsth king of noisy function
Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 7, 3–14
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Estimates of characteristics of localization methods for discontinuities of the first kind of a noisy function
Sib. Zh. Ind. Mat., 22:1 (2019), 3–12
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On the localization of nonsmooth discontinuity lines of a function of two variables
Trudy Inst. Mat. i Mekh. UrO RAN, 25:3 (2019), 9–23
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On the problem of global localization of discontinuity lines for a function of two variables
Trudy Inst. Mat. i Mekh. UrO RAN, 24:2 (2018), 12–23
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Localization of boundaries for subsets of discontinuity points of noisy function
Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 11, 13–19
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A discrete algorithm for the localization of lines of discontinuity of a two-variable function
Sib. Zh. Ind. Mat., 20:4 (2017), 3–12
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High accuracy algorithms for approximation of discontinuity lines of a noisy function
Trudy Inst. Mat. i Mekh. UrO RAN, 23:2 (2017), 10–21
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Research of a threshold (correlation) method and application for localization of singularities
Sib. Èlektron. Mat. Izv., 13 (2016), 829–848
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Discretization of a new method for localizing discontinuity lines of a noisy two-variable function
Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016), 8–17
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Methods for the approximating the discontinuity lines of a noisy function of two variables with countably many singularities
Sib. Zh. Ind. Mat., 18:2 (2015), 3–11
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On discretization of methods for localization of singularities a noisy function
Trudy Inst. Mat. i Mekh. UrO RAN, 21:1 (2015), 3–13
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Approximation of discontinuity lines of a noisy function of two variables
Sib. Zh. Ind. Mat., 15:1 (2012), 3–13
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On the localization of singularities of the first kind for a function of bounded variation
Trudy Inst. Mat. i Mekh. UrO RAN, 18:1 (2012), 56–68
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A method for the localization of singularities of a solution to a convolution-type equation of the first kind with a step kernel
Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 7, 3–12
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On ill-posed problems of localization of singularities
Trudy Inst. Mat. i Mekh. UrO RAN, 17:3 (2011), 30–45
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Regularizing algorithms for detecting discontinuities in ill-posed problems
Zh. Vychisl. Mat. Mat. Fiz., 48:8 (2008), 1362–1370
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Problem on separation of singularities
Izv. Vyssh. Uchebn. Zaved. Mat., 2007, no. 11, 3–9
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Regular algorithms for the analysis of radio-location images
Num. Meth. Prog., 8:3 (2007), 275–285
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A method of separating functionals for extracting of a local atomic structure
Mat. Model., 16:10 (2004), 81–92
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Direct and inverse problems of oblique radiosounding of ionosphere with waveguids
Mat. Model., 16:3 (2004), 22–32
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Algorithms for solving direct and inverse problems of oblique radio-sounding ionosphere
Mat. Model., 14:11 (2002), 23–32
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Conditional estimates for stability in a nonsymmetric eigenvalue problem
Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 9, 3–12
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Solution of equations of the first kind with a finite-dimensional nonlinearity
Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 3, 68–72
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Methods for parametric errors suppression under solution integral equations of the first kind
Mat. Model., 8:12 (1996), 110–124
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Regularized spectral analysis and the solution of equations of the first kind
Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 11, 3–16
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Algorithms for the finite-dimensional approximation of stabilizing
corrections
Zh. Vychisl. Mat. Mat. Fiz., 31:7 (1991), 943–952
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The method of quasi-solutions for the problem of determining the eigenfunctions of a linear operator
Zh. Vychisl. Mat. Mat. Fiz., 27:5 (1987), 643–650
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On the question of the construction of an optimal method for solving a linear equation of the first kind
Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 3, 67–68
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A regular algorithm for finding the basis of the kernel of a linear operator
Zh. Vychisl. Mat. Mat. Fiz., 23:5 (1983), 1041–1051
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Regularization of nonlinear operator equations on the class of discontinuous functions
Zh. Vychisl. Mat. Mat. Fiz., 20:4 (1980), 819–826
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International conference “Algorithmic analysis of unstable problems (AAUP-2011)”
Trudy Inst. Mat. i Mekh. UrO RAN, 18:1 (2012), 329–333
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Uniqueness and nonuniqueness of solution of the totality of the first kind equations equivalent with respect to a given accuracy
Trudy Inst. Mat. i Mekh. UrO RAN, 5 (1998), 85–96
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