Antonova Tat'yana Vladimirovna

Publications in Math-Net.Ru

1. 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
2. Study of separation-based methods for localization of discontinuity lines
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 31:3 (2025),  5–19
3. On the localization of fractal discontinuity lines from noisy data
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 9,  27–44
4. 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
5. Approximation of the Normal to the Discontinuity Lines of a Noisy Function
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 28:2 (2022),  7–23
6. Algorithms for localizing discontinuity lines with a new type of averaging
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 27:4 (2021),  5–18
7. New accuracy estimates for methods for localizing discontinuity lines of a noisy function
   
   Sib. Zh. Vychisl. Mat., 23:4 (2020),  351–364
8. 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
9. 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
10. 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
11. 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
12. Localization of boundaries for subsets of discontinuity points of noisy function
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 11,  13–19
13. A discrete algorithm for the localization of lines of discontinuity of a two-variable function
    
    Sib. Zh. Ind. Mat., 20:4 (2017),  3–12
14. High accuracy algorithms for approximation of discontinuity lines of a noisy function
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 23:2 (2017),  10–21
15. Research of a threshold (correlation) method and application for localization of singularities
    
    Sib. Èlektron. Mat. Izv., 13 (2016),  829–848
16. 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
17. 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
18. Methods of identifying a parameter in the kernel of the first kind equation of the convolution type on the class of functions with discontinuities
    
    Sib. Zh. Vychisl. Mat., 18:2 (2015),  107–120
19. On discretization of methods for localization of singularities a noisy function
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 21:1 (2015),  3–13
20. Approximation of discontinuity lines of a noisy function of two variables
    
    Sib. Zh. Ind. Mat., 15:1 (2012),  3–13
21. Localization method for lines of discontinuity of approximately defined function of two variables
    
    Sib. Zh. Vychisl. Mat., 15:4 (2012),  345–357
22. 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
23. 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
24. On ill-posed problems of localization of singularities
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 17:3 (2011),  30–45
25. New methods for localizing discontinuities of a noisy function
    
    Sib. Zh. Vychisl. Mat., 13:4 (2010),  375–386
26. Regularizing algorithms for localizing the breakpoints of a noisy function
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 15:1 (2009),  44–58
27. Regularizing algorithms for detecting discontinuities in ill-posed problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 48:8 (2008),  1362–1370
28. Problem on separation of singularities
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2007, no. 11,  3–9
29. A method of separating functionals for extracting of a local atomic structure
    
    Mat. Model., 16:10 (2004),  81–92
30. Direct and inverse problems of oblique radiosounding of ionosphere with waveguids
    
    Mat. Model., 16:3 (2004),  22–32
31. Algorithms for solving direct and inverse problems of oblique radio-sounding ionosphere
    
    Mat. Model., 14:11 (2002),  23–32
32. Solving equations of the first kind on classes of functions with singularities
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 8:1 (2002),  147–188
33. Reconstruction of a function with a finite number of discontinuities of the first kind from noisy data
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 7,  65–68
34. On the solution of integral equations of the first kind nonlinear in parameter in classes of distributions
    
    Zh. Vychisl. Mat. Mat. Fiz., 40:6 (2000),  819–831
35. Methods for parametric errors suppression under solution integral equations of the first kind
    
    Mat. Model., 8:12 (1996),  110–124