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Savyolova, Tat'yana Ivanovna
Professor
Doctor of physico-mathematical sciences (1991)
Speciality: 05.13.16 (Application of Computers and Mathematical Models in Science)
E-mail:

https://www.mathnet.ru/eng/person52948
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/189188
https://elibrary.ru/author_items.asp?authorid=22989

Publications in Math-Net.Ru Citations
2015
1. A. O. Antonova, T. I. Savyolova, “Error estimation for computed polycrystalline texture characteristics by varying measurement parameters in electron microscopy methods”, Zh. Vychisl. Mat. Mat. Fiz., 55:2 (2015),  322–334  mathnet  elib; Comput. Math. Math. Phys., 55:2 (2015), 317–329  isi  elib  scopus 4
2010
2. K. N. Roginskii, T. I. Savyolova, “Polar figure computation by a kernel method from a set of individual grain orientations on $SO(3)$”, Zh. Vychisl. Mat. Mat. Fiz., 50:5 (2010),  949–966  mathnet; Comput. Math. Math. Phys., 50:5 (2010), 900–916  isi  scopus 4
2009
3. T. I. Savyolova, M. V. Sypchenko, “Error estimation of grain distribution function recovery for dependent orientations with allowance for grain sizes”, Zh. Vychisl. Mat. Mat. Fiz., 49:5 (2009),  879–890  mathnet  zmath; Comput. Math. Math. Phys., 49:5 (2009), 846–856  isi  scopus 3
2008
4. K. P. Aganin, T. I. Savyolova, “Error estimates for kernel and projection methods of recovering the orientation distribution function on $\mathrm{SO}(3)$”, Zh. Vychisl. Mat. Mat. Fiz., 48:6 (2008),  1087–1101  mathnet  zmath; Comput. Math. Math. Phys., 48:6 (2008), 1024–1038  isi  scopus 4
2007
5. T. I. Savyolova, M. V. Sypchenko, “Calculation of the orientation distribution function from a set of individual orientations on $\mathrm{SO}(3)$”, Zh. Vychisl. Mat. Mat. Fiz., 47:6 (2007),  1015–1028  mathnet; Comput. Math. Math. Phys., 47:6 (2007), 970–982  scopus 7
6. T. M. Ivanova, T. I. Savyolova, “New inversion formula for the solution to an inverse diffraction problem”, Zh. Vychisl. Mat. Mat. Fiz., 47:1 (2007),  16–20  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 47:1 (2007), 14–18  scopus 3
2005
7. T. I. Savyolova, “Solutions of ultrahyperbolic equations and their application in texture analysis”, Zh. Vychisl. Mat. Mat. Fiz., 45:12 (2005),  2159–2167  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 45:12 (2005), 2077–2084
2002
8. M. V. Borovkov, T. I. Savyolova, “Computation of normal distributions on rotation groups by the Monte Carlo method”, Zh. Vychisl. Mat. Mat. Fiz., 42:1 (2002),  112–128  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:1 (2002), 108–123 8
1990
9. T. I. Savyolova, “A numerical algorithm for solving the Cauchy characteristic problem for ultrahyperbolic equations”, Zh. Vychisl. Mat. Mat. Fiz., 30:2 (1990),  320–325  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 30:1 (1990), 233–237 1
1987
10. D. I. Nikolaev, T. I. Savelova, “Approximation of the solution of an inverse difraction problem by delta-functions and Gauss distributions”, Zh. Vychisl. Mat. Mat. Fiz., 27:5 (1987),  791–793  mathnet; U.S.S.R. Comput. Math. Math. Phys., 27:3 (1987), 101–102 2
1985
11. T. I. Bukharova, T. I. Savyolova, “Approximate solution of an inverse problem of diffraction”, Zh. Vychisl. Mat. Mat. Fiz., 25:4 (1985),  617–622  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 25:2 (1985), 189–193 2
1983
12. N. G. Volkov, T. I. Savyolova, “An ill-posed problem of crystal physics”, Zh. Vychisl. Mat. Mat. Fiz., 23:4 (1983),  922–928  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 23:4 (1983), 96–100 2
1982
13. T. I. Savelova, “Solution of an inverse problem of diffraction”, Dokl. Akad. Nauk SSSR, 266:3 (1982),  590–593  mathnet  mathscinet
14. T. I. Savelova, “The relation of A. N. Tikhonov's regularization method for certain equations of convolution type to the solution of boundary value problems”, Zh. Vychisl. Mat. Mat. Fiz., 22:6 (1982),  1316–1322  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 22:6 (1982), 35–42
15. T. I. Savelova, “Regularization of an equation of convolution type in a class of generalized functions”, Zh. Vychisl. Mat. Mat. Fiz., 22:1 (1982),  231–235  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 22:1 (1982), 245–250
1980
16. T. I. Savelova, “On stable differentiation of functions”, Zh. Vychisl. Mat. Mat. Fiz., 20:2 (1980),  501–505  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 20:2 (1980), 232–238
1979
17. T. I. Savyolova, S. M. Knopova, “The use of projection methods to solve unstable problems”, Zh. Vychisl. Mat. Mat. Fiz., 19:5 (1979),  1091–1096  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 19:5 (1979), 1–7 1
18. T. I. Savyolova, “On the stable summation of fourier series”, Zh. Vychisl. Mat. Mat. Fiz., 19:4 (1979),  830–835  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 19:4 (1979), 31–37
19. T. I. Savyolova, “Regularization of non-linear integral equations of the convolution type”, Zh. Vychisl. Mat. Mat. Fiz., 19:1 (1979),  22–28  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 19:1 (1979), 20–27
1978
20. T. I. Savyolova, “Regularization by means of operators of Fejer type”, Zh. Vychisl. Mat. Mat. Fiz., 18:3 (1978),  582–588  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 18:3 (1978), 53–60
21. T. I. Savyolova, “Optimal regularization of equations of convolution type with random errors in the kernel and on the right-hand side”, Zh. Vychisl. Mat. Mat. Fiz., 18:2 (1978),  275–283  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 18:2 (1978), 1–7
22. T. I. Savyolova, “The optimal regularization of convolution-type equations with approximate right side and kernel”, Zh. Vychisl. Mat. Mat. Fiz., 18:1 (1978),  218–222  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 18:1 (1978), 209–215
1977
23. T. I. Savyolova, “The optimal regularization of operator equations with errors in the formulas for the operator and for the right-hand side”, Zh. Vychisl. Mat. Mat. Fiz., 17:6 (1977),  1579–1583  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 17:6 (1977), 227–232
1976
24. N. B. Zyabrev, T. I. Savyolova, “Estimation of the rate of convergence of regularized solutions of an equation of convolution type with errors in the kernel and the right-hand side”, Zh. Vychisl. Mat. Mat. Fiz., 16:5 (1976),  1091–1101  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 16:5 (1976), 1–12
1975
25. T. I. Savyolova, “The regularization of systems of linear integral equations of the first kind of convolution type”, Zh. Vychisl. Mat. Mat. Fiz., 15:6 (1975),  1381–1388  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 15:6 (1975), 15–22
26. T. I. Savyolova, “The regularization of integral equations of the first kind of convolution type”, Zh. Vychisl. Mat. Mat. Fiz., 15:2 (1975),  298–304  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 15:2 (1975), 16–22
1974
27. T. I. Savyolova, “Projection methods for solving linear incorrect equations”, Zh. Vychisl. Mat. Mat. Fiz., 14:4 (1974),  1027–1031  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 14:4 (1974), 201–206
28. T. I. Savyolova, “The application of a class of regularizing algorithms to the solution of integral equations of the first kind of the convolution type in Banach space”, Zh. Vychisl. Mat. Mat. Fiz., 14:2 (1974),  479–483  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 14:2 (1974), 202–207
1973
29. T. I. Savyolova, V. V. Tikhomirov, “The solution of convolution type integral equations of the first kind in the multi-dimensional case”, Zh. Vychisl. Mat. Mat. Fiz., 13:3 (1973),  555–563  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 13:3 (1973), 21–31
1972
30. T. I. Savelova, “Solution of an equation of convolution type with an inaccurately prescribed kernel by the regularization method”, Zh. Vychisl. Mat. Mat. Fiz., 12:1 (1972),  212–218  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 12:1 (1972), 274–280
1969
31. V. Ya. Arsenin, T. I. Savyolova, “The application of the method of regularization to convolution type integral equations of first kind”, Zh. Vychisl. Mat. Mat. Fiz., 9:6 (1969),  1392–1396  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 9:6 (1969), 204–210

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