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Publications in Math-Net.Ru |
Citations |
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2023 |
1. |
A. L. Ageev, T. V. Antonova, “On the localization of fractal discontinuity lines from noisy data”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 9, 27–44 |
2. |
A. L. Ageev, T. V. Antonova, “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 ; Proc. Steklov Inst. Math. (Suppl.), 323, suppl. 1 (2023), S19–S31 |
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2022 |
3. |
A. L. Ageev, T. V. Antonova, “Approximation of the Normal to the Discontinuity Lines of a Noisy Function”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:2 (2022), 7–23 ; Proc. Steklov Inst. Math. (Suppl.), 319, suppl. 1 (2022), S12–S29 |
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2021 |
4. |
A. L. Ageev, T. V. Antonova, “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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2020 |
5. |
A. L. Ageev, T. V. Antonova, “New accuracy estimates for methods for localizing
discontinuity lines of a noisy function”, Sib. Zh. Vychisl. Mat., 23:4 (2020), 351–364 ; Num. Anal. Appl., 13:4 (2020), 293–305 |
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2019 |
6. |
A. L. Ageev, T. V. Antonova, “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 ; Russian Math. (Iz. VUZ), 63:7 (2019), 1–11 |
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7. |
A. L. Ageev, T. V. Antonova, “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 ; J. Appl. Industr. Math., 13:1 (2019), 1–10 |
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8. |
A. L. Ageev, T. V. Antonova, “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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2018 |
9. |
A. L. Ageev, T. V. Antonova, “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 ; Proc. Steklov Inst. Math. (Suppl.), 307, suppl. 1 (2019), S1–S12 |
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2017 |
10. |
A. L. Ageev, T. V. Antonova, “Localization of boundaries for subsets of discontinuity points of noisy function”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 11, 13–19 ; Russian Math. (Iz. VUZ), 61:11 (2017), 10–15 |
11. |
A. L. Ageev, T. V. Antonova, “A discrete algorithm for the localization of lines of discontinuity of a two-variable function”, Sib. Zh. Ind. Mat., 20:4 (2017), 3–12 ; J. Appl. Industr. Math., 11:4 (2017), 463–471 |
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12. |
A. L. Ageev, T. V. Antonova, “High accuracy algorithms for approximation of discontinuity lines of a noisy function”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:2 (2017), 10–21 ; Proc. Steklov Inst. Math. (Suppl.), 303, suppl. 1 (2018), 1–11 |
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2016 |
13. |
D. V. Kurlikovskii, A. L. Ageev, T. V. Antonova, “Research of a threshold (correlation) method and application for localization of singularities”, Sib. Èlektron. Mat. Izv., 13 (2016), 829–848 |
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14. |
A. L. Ageev, T. V. Antonova, “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 ; Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 4–13 |
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2015 |
15. |
A. L. Ageev, T. V. Antonova, “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 ; J. Appl. Industr. Math., 9:3 (2015), 297–305 |
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16. |
T. V. Antonova, “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 ; Num. Anal. Appl., 8:2 (2015), 89–100 |
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17. |
A. L. Ageev, T. V. Antonova, “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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2012 |
18. |
A. L. Ageev, T. V. Antonova, “Approximation of discontinuity lines of a noisy function of two variables”, Sib. Zh. Ind. Mat., 15:1 (2012), 3–13 ; J. Appl. Industr. Math., 6:3 (2012), 269–279 |
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19. |
T. V. Antonova, “Localization method for lines of discontinuity of approximately defined function of two variables”, Sib. Zh. Vychisl. Mat., 15:4 (2012), 345–357 ; Num. Anal. Appl., 5:4 (2012), 285–296 |
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20. |
A. L. Ageev, T. V. Antonova, “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 ; Proc. Steklov Inst. Math. (Suppl.), 280, suppl. 1 (2013), 13–25 |
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2011 |
21. |
A. L. Ageev, T. V. Antonova, “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 ; Russian Math. (Iz. VUZ), 55:7 (2011), 1–8 |
22. |
A. L. Ageev, T. V. Antonova, “On ill-posed problems of localization of singularities”, Trudy Inst. Mat. i Mekh. UrO RAN, 17:3 (2011), 30–45 |
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2010 |
23. |
T. V. Antonova, “New methods for localizing discontinuities of a noisy function”, Sib. Zh. Vychisl. Mat., 13:4 (2010), 375–386 ; Num. Anal. Appl., 3:4 (2010), 306–316 |
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2009 |
24. |
T. V. Antonova, “Regularizing algorithms for localizing the breakpoints of a noisy function”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:1 (2009), 44–58 ; Proc. Steklov Inst. Math. (Suppl.), 265, suppl. 1 (2009), S24–S39 |
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2008 |
25. |
A. L. Ageev, T. V. Antonova, “Regularizing algorithms for detecting discontinuities in ill-posed problems”, Zh. Vychisl. Mat. Mat. Fiz., 48:8 (2008), 1362–1370 ; Comput. Math. Math. Phys., 48:8 (2008), 1284–1292 |
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2007 |
26. |
A. L. Ageev, T. V. Antonova, “Problem on separation of singularities”, Izv. Vyssh. Uchebn. Zaved. Mat., 2007, no. 11, 3–9 ; Russian Math. (Iz. VUZ), 51:11 (2007), 1–7 |
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2004 |
27. |
A. L. Ageev, T. V. Antonova, T. Y. Reich, C. Hennig, “A method of separating functionals for extracting of a local atomic structure”, Matem. Mod., 16:10 (2004), 81–92 |
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28. |
A. L. Ageev, T. V. Antonova, E. N. Bessonova, V. V. Vasin, “Direct and inverse problems of oblique radiosounding of ionosphere with waveguids”, Matem. Mod., 16:3 (2004), 22–32 |
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2002 |
29. |
A. L. Ageev, T. V. Antonova, E. N. Bessonova, V. V. Vasin, V. M. Markushevich, “Algorithms for solving direct and inverse problems of oblique radio-sounding ionosphere”, Matem. Mod., 14:11 (2002), 23–32 |
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30. |
T. V. Antonova, “Solving equations of the first kind on classes of functions with singularities”, Trudy Inst. Mat. i Mekh. UrO RAN, 8:1 (2002), 147–188 ; Proc. Steklov Inst. Math. (Suppl.), 2002no. , suppl. 1, S145–S189 |
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2001 |
31. |
T. V. Antonova, “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 ; Russian Math. (Iz. VUZ), 45:7 (2001), 63–66 |
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2000 |
32. |
T. V. Antonova, “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 ; Comput. Math. Math. Phys., 40:6 (2000), 781–792 |
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1996 |
33. |
A. L. Ageev, T. V. Antonova, E. V. Voronina, “Methods for parametric errors suppression under solution integral equations of the first kind”, Matem. Mod., 8:12 (1996), 110–124 |
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