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Goncharsky, Aleksandr Vladimirovich

Statistics Math-Net.Ru
Total publications: 48
Scientific articles: 48

Number of views:
This page:488
Abstract pages:5252
Full texts:2529
References:56
Professor
Doctor of physico-mathematical sciences
E-mail:

http://www.mathnet.ru/eng/person39134
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/214554

Publications in Math-Net.Ru
2019
1. A. V. Goncharsky, V. A. Kubyshkin, S. Y. Romanov, S. Yu. Seryozhnikov, “Inverse problems of experimental data interpretation in 3D ultrasound tomography”, Vychisl. Metody Programm., 20:3 (2019),  254–269  mathnet  elib
2018
2. A. V. Goncharsky, S. Y. Romanov, S. Yu. Seryozhnikov, “Low-frequency 3D ultrasound tomography: dual-frequency method”, Vychisl. Metody Programm., 19:4 (2018),  479–495  mathnet
3. A. V. Goncharsky, S. Y. Romanov, S. Yu. Seryozhnikov, “Inverse problems of sounding pulse formation in ultrasound tomography: mathematical modeling and experiments”, Vychisl. Metody Programm., 19:2 (2018),  150–157  mathnet
2017
4. A. V. Goncharsky, S. Y. Romanov, S. Yu. Seryozhnikov, “The problem of choosing initial approximations in inverse problems of ultrasound tomography”, Vychisl. Metody Programm., 18:3 (2017),  312–321  mathnet
5. A. V. Goncharsky, S. Y. Romanov, S. Yu. Seryozhnikov, “Inverse problems of layer-by-layer ultrasonic tomography with the data measured on a cylindrical surface”, Vychisl. Metody Programm., 18:3 (2017),  267–276  mathnet
2015
6. A. V. Goncharsky, S. Y. Romanov, “Iterative methods for solving inverse problems of ultrasonic tomography”, Vychisl. Metody Programm., 16:4 (2015),  464–475  mathnet
2014
7. A. V. Goncharsky, S. Yu. Romanov, S. Yu. Seryozhnikov, “Problems of limited-data wave tomography”, Vychisl. Metody Programm., 15:2 (2014),  274–285  mathnet
2012
8. A. V. Goncharsky, S. Yu. Romanov, “Supercomputer technologies in the development of methods for solving inverse problems in ultrasound tomography”, Vychisl. Metody Programm., 13:1 (2012),  235–238  mathnet
9. A. V. Goncharskii, S. Yu. Romanov, “Two approaches to the solution of coefficient inverse problems for wave equations”, Zh. Vychisl. Mat. Mat. Fiz., 52:2 (2012),  263–269  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 52:2 (2012), 245–251  isi  elib  scopus
2011
10. A. V. Goncharsky, S. Yu. Romanov, “On a problem of ultrasonic tomography”, Vychisl. Metody Programm., 12:3 (2011),  317–320  mathnet
2009
11. A. V. Goncharsky, S. L. Ovchinnikov, S. Y. Romanov, “The inverse problem of wave diagnostics of pavement”, Vychisl. Metody Programm., 10:2 (2009),  275–280  mathnet
2008
12. A. V. Goncharsky, “An approach to solving inverse problems of computational diagnostics on supercomputers”, Vychisl. Metody Programm., 9:3 (2008),  327–331  mathnet
2007
13. G. M. Agayan, N. S. Vinogradov, A. V. Goncharsky, S. L. Ovchinnikov, S. Y. Romanov, “Diagnostics of three-dimensional media by synthesized-aperture methods”, Vychisl. Metody Programm., 8:2 (2007),  154–159  mathnet
2006
14. A. V. Goncharsky, S. Y. Romanov, S. A. Kharchenko, “The inverse problem of acoustic diagnosis for three-dimensional media”, Vychisl. Metody Programm., 7:1 (2006),  113–121  mathnet
15. A. V. Goncharsky, S. Y. Romanov, “A computer tomography problem in wave approximation”, Vychisl. Metody Programm., 7:1 (2006),  36–40  mathnet
2000
16. A. V. Goncharsky, S. Yu. Romanov, “On a three-dimensional problem of diagnostics in the wave approximation”, Zh. Vychisl. Mat. Mat. Fiz., 40:9 (2000),  1364–1367  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 40:9 (2000), 1308–1311
1994
17. A. V. Goncharsky, A. A. Stepanov, “Mathematical model s and the phase problem in inverse problem of $x$-ray diffractometry”, Matem. Mod., 6:12 (1994),  117–127  mathnet  mathscinet  zmath
1992
18. A. V. Goncharsky, G. N. Morozova, O. Z. Shemkov, “Problem in focusing of laser radiation”, Kvantovaya Elektronika, 19:6 (1992),  584–586  mathnet [Sov J Quantum Electron, 22:6 (1992), 538–540  isi]
1988
19. A. V. Goncharsky, M. V. Klibanov, V. V. Stepanov, “Inverse problems of coherent optics. The use of the stationary phase method in problems of focusing radiation on a curve”, Zh. Vychisl. Mat. Mat. Fiz., 28:10 (1988),  1540–1550  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 28:5 (1988), 169–177
20. A. B. Bakushinskii, A. V. Goncharsky, S. Yu. Levitan, “Fast linear iterative algorithms of image restoration”, Zh. Vychisl. Mat. Mat. Fiz., 28:6 (1988),  933–937  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 28:3 (1988), 210–213
1987
21. A. N. Tikhonov, A. V. Goncharsky, V. V. Stepanov, I. V. Kochikov, “Ill-posed problems of image processing”, Dokl. Akad. Nauk SSSR, 294:4 (1987),  832–837  mathnet  mathscinet
22. A. V. Goncharsky, V. V. Stepanov, “The computer diagnostics of semiconductor crystals”, Dokl. Akad. Nauk SSSR, 292:1 (1987),  60–63  mathnet
1986
23. A. V. Goncharsky, V. A. Danilov, V. V. Popov, I. N. Sisakyan, V. V. Stepanov, “On an inverse problem of optical element synthesis”, Dokl. Akad. Nauk SSSR, 291:3 (1986),  591–595  mathnet
24. A. N. Tikhonov, A. V. Goncharsky, I. V. Kochikov, E. I. Rau, D. O. Savin, G. V. Spivak, V. V. Stepanov, “Computing tomography of objects in X-ray and optical scanning microscopy”, Dokl. Akad. Nauk SSSR, 289:5 (1986),  1104–1107  mathnet
25. A. V. Goncharsky, A. A. Stepanov, “On the uniqueness of solution of the inverse problem of X-ray diffraction on thin single crystals”, Dokl. Akad. Nauk SSSR, 287:2 (1986),  309–312  mathnet
26. A. V. Goncharsky, S. Y. Romanov, V. V. Stepanov, L. V. Sumin, “Estimation of the mineral formation and transformation time from the data of thermoisochronal $\mathrm{Pb}$$\mathrm{Pb}$ method”, Dokl. Akad. Nauk SSSR, 286:5 (1986),  1088–1091  mathnet
27. A. V. Goncharsky, V. A. Danilov, V. V. Popov, I. N. Sisakyan, V. A. Soifer, V. V. Stepanov, “Planar focusing components for the visible range”, Kvantovaya Elektronika, 13:3 (1986),  660–662  mathnet [Sov J Quantum Electron, 16:3 (1986), 432–433  isi]
28. A. V. Goncharsky, V. V. Stepanov, “Inverse problems of coherent optics. Focusing in a line”, Zh. Vychisl. Mat. Mat. Fiz., 26:1 (1986),  80–91  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 26:1 (1986), 50–57
1984
29. A. V. Goncharsky, V. V. Stepanov, “The existence of smooth solutions in problems of electromagnetic radiation focusing”, Dokl. Akad. Nauk SSSR, 279:4 (1984),  788–792  mathnet  mathscinet  zmath
30. A. V. Goncharsky, I. N. Sisakyan, V. V. Stepanov, “Solvability of certain inverse problems of focusing laser radiation”, Dokl. Akad. Nauk SSSR, 279:1 (1984),  68–71  mathnet  mathscinet
31. A. V. Goncharsky, V. A. Danilov, V. V. Popov, A. M. Prokhorov, I. N. Sisakyan, V. A. Soifer, V. V. Stepanov, “Devices for focusing laser radiation incident at an angle”, Kvantovaya Elektronika, 11:1 (1984),  166–168  mathnet [Sov J Quantum Electron, 14:1 (1984), 108–109  isi]
1983
32. A. V. Goncharsky, V. A. Danilov, V. V. Popov, A. M. Prokhorov, I. N. Sisakyan, V. A. Soifer, V. V. Stepanov, “Solution to an inverse problem of the laser radiation focusing into a arbitrary curve”, Dokl. Akad. Nauk SSSR, 273:3 (1983),  605–608  mathnet
1980
33. A. N. Tikhonov, A. V. Goncharsky, A. M. Cherepashchuk, A. G. Yagola, “On the nature of Wolf–Rayet stars”, Dokl. Akad. Nauk SSSR, 253:3 (1980),  572–576  mathnet
1979
34. A. V. Goncharsky, V. V. Stepanov, “On uniformly approximating a solution of bounded variation for ill-posed problems”, Dokl. Akad. Nauk SSSR, 248:1 (1979),  20–22  mathnet  mathscinet  zmath
35. A. V. Goncharsky, V. V. Stepanov, “Algorithms for the approximate solution of incorrectly posed problems on certain compact sets”, Dokl. Akad. Nauk SSSR, 245:6 (1979),  1296–1299  mathnet  mathscinet  zmath
1976
36. V. A. Vinokurov, A. V. Goncharsky, S. V. Cheslavskii, A. G. Yagola, “A numerical study of the fundamental equation of superconductivity”, Dokl. Akad. Nauk SSSR, 231:4 (1976),  837–840  mathnet  mathscinet
1975
37. A. V. Goncharsky, A. S. Leonov, A. G. Yagola, “The applicability of the principle of the residual in the case of nonlinear ill-posed problems, and a new regularizing algorithm for their solution”, Zh. Vychisl. Mat. Mat. Fiz., 15:2 (1975),  290–297  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 15:2 (1975), 8–16
1974
38. A. V. Goncharsky, A. S. Leonov, A. G. Yagola, “On the residual principle for solving nonlinear ill-posed problems”, Dokl. Akad. Nauk SSSR, 214:3 (1974),  499–500  mathnet  mathscinet  zmath
39. A. V. Goncharsky, A. S. Leonov, A. G. Yagola, “The regularization of ill-posed problems with approximately given operator”, Zh. Vychisl. Mat. Mat. Fiz., 14:4 (1974),  1022–1027  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 14:4 (1974), 195–201
40. A. V. Goncharsky, A. S. Leonov, A. G. Yagola, “Finite difference approximation of linear ill-posed problems”, Zh. Vychisl. Mat. Mat. Fiz., 14:1 (1974),  15–24  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 14:1 (1974), 14–23
1973
41. A. V. Goncharsky, A. S. Leonov, A. G. Yagola, “A generalized residual principle”, Zh. Vychisl. Mat. Mat. Fiz., 13:2 (1973),  294–302  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 13:2 (1973), 25–37
1972
42. A. V. Goncharsky, A. S. Leonov, A. G. Yagola, “A generalization of the discrepancy principle for the case of an operator specified with an error”, Dokl. Akad. Nauk SSSR, 203:6 (1972),  1238–1239  mathnet  mathscinet  zmath
43. A. V. Goncharsky, A. S. Leonov, A. G. Yagola, “A certain regularizing algorithm for ill-posed problems with an approximately given operator”, Zh. Vychisl. Mat. Mat. Fiz., 12:6 (1972),  1592–1594  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 12:6 (1972), 286–290
44. A. V. Goncharsky, A. S. Leonov, A. G. Yagola, “Certain estimates of the rate of convergence of regularized approximations for equations of convolution type”, Zh. Vychisl. Mat. Mat. Fiz., 12:3 (1972),  762–770  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 12:3 (1972), 243–254
45. A. V. Goncharskii, L. G. Gushchina, A. S. Leonov, A. G. Yagola, “Certain algorithms for finding the approximate solution of ill-posed problems on a set of monotone functions”, Zh. Vychisl. Mat. Mat. Fiz., 12:2 (1972),  283–297  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 12:2 (1972), 1–18
1971
46. A. V. Goncharsky, A. G. Yagola, A. S. Leonov, “The solution of two-dimensional Fredholm integral equations of the first kind with a kernel that depends on the difference of the arguments”, Zh. Vychisl. Mat. Mat. Fiz., 11:5 (1971),  1296–1301  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 11:5 (1971), 253–260
1970
47. A. V. Goncharsky, A. G. Yagola, “The solution of integral equations of the form $\int_a^bK(x,s) dg(s)=u(x)$”, Dokl. Akad. Nauk SSSR, 193:2 (1970),  266–267  mathnet  mathscinet  zmath
1969
48. A. V. Goncharsky, A. G. Yagola, “The uniform approximation of a monotonic solution of ill-posed problems”, Dokl. Akad. Nauk SSSR, 184:4 (1969),  771–773  mathnet  mathscinet  zmath

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