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Publications in Math-Net.Ru |
Citations |
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2023 |
1. |
A. S. Belyaev, A. V. Goncharsky, S. Y. Romanov, “Development of numerical algorithms for solving the direct problem of propagation of ultrasonic waves in thin plates”, Num. Meth. Prog., 24:3 (2023), 275–290 |
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2021 |
2. |
A. V. Goncharsky, S. Y. Romanov, S. Yu. Seryozhnikov, “Implementation and performance of wave tomography algorithms on simd cpu and gpu computing platforms”, Num. Meth. Prog., 22:4 (2021), 322–332 |
2
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2019 |
3. |
A. V. Goncharsky, V. A. Kubyshkin, S. Y. Romanov, S. Yu. Seryozhnikov, “Inverse problems of experimental data interpretation in 3D ultrasound tomography”, Num. Meth. Prog., 20:3 (2019), 254–269 |
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2018 |
4. |
A. V. Goncharsky, S. Y. Romanov, S. Yu. Seryozhnikov, “Low-frequency 3D ultrasound tomography: dual-frequency method”, Num. Meth. Prog., 19:4 (2018), 479–495 |
5. |
A. V. Goncharsky, S. Y. Romanov, S. Yu. Seryozhnikov, “Inverse problems of sounding pulse formation in ultrasound tomography: mathematical modeling and experiments”, Num. Meth. Prog., 19:2 (2018), 150–157 |
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2017 |
6. |
A. V. Goncharsky, S. Y. Romanov, S. Yu. Seryozhnikov, “The problem of choosing initial approximations in inverse problems of ultrasound tomography”, Num. Meth. Prog., 18:3 (2017), 312–321 |
7. |
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”, Num. Meth. Prog., 18:3 (2017), 267–276 |
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2015 |
8. |
A. V. Goncharsky, S. Y. Romanov, “Iterative methods for solving inverse problems of ultrasonic tomography”, Num. Meth. Prog., 16:4 (2015), 464–475 |
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2014 |
9. |
A. V. Goncharsky, S. Yu. Romanov, S. Yu. Seryozhnikov, “Problems of limited-data wave tomography”, Num. Meth. Prog., 15:2 (2014), 274–285 |
1
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2012 |
10. |
A. V. Goncharsky, S. Yu. Romanov, “Supercomputer technologies in the development of methods for solving inverse problems in ultrasound tomography”, Num. Meth. Prog., 13:1 (2012), 235–238 |
4
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11. |
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 ; Comput. Math. Math. Phys., 52:2 (2012), 245–251 |
33
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2011 |
12. |
A. V. Goncharsky, S. Yu. Romanov, “On a problem of ultrasonic tomography”, Num. Meth. Prog., 12:3 (2011), 317–320 |
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2009 |
13. |
A. V. Goncharsky, S. L. Ovchinnikov, S. Y. Romanov, “The inverse problem of wave diagnostics of pavement”, Num. Meth. Prog., 10:2 (2009), 275–280 |
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2008 |
14. |
A. V. Goncharsky, “An approach to solving inverse problems of computational diagnostics on supercomputers”, Num. Meth. Prog., 9:3 (2008), 327–331 |
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2007 |
15. |
G. M. Agayan, N. S. Vinogradov, A. V. Goncharsky, S. L. Ovchinnikov, S. Y. Romanov, “Diagnostics of three-dimensional media by synthesized-aperture methods”, Num. Meth. Prog., 8:2 (2007), 154–159 |
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2006 |
16. |
A. V. Goncharsky, S. Y. Romanov, S. A. Kharchenko, “The inverse problem of acoustic diagnosis for three-dimensional media”, Num. Meth. Prog., 7:1 (2006), 113–121 |
3
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17. |
A. V. Goncharsky, S. Y. Romanov, “A computer tomography problem in wave approximation”, Num. Meth. Prog., 7:1 (2006), 36–40 |
1
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2000 |
18. |
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 ; Comput. Math. Math. Phys., 40:9 (2000), 1308–1311 |
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1994 |
19. |
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 |
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1992 |
20. |
A. N. Tikhonov, A. V. Goncharsky, A. N. Matvienko, S. Y. Romanov, V. G. Shchetinin, I. N. Chubarov, S. I. Markachev, M. I. Grishko, E. A. Ksenofontov, “Image reconstruction problems for synthetic aperture radars”, Dokl. Akad. Nauk, 322:5 (1992), 884–886 |
21. |
A. V. Goncharsky, G. N. Morozova, O. Z. Shemkov, “Problem in focusing of laser radiation”, Kvantovaya Elektronika, 19:6 (1992), 584–586 [Sov J Quantum Electron, 22:6 (1992), 538–540 ] |
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1990 |
22. |
A. N. Tikhonov, A. V. Goncharsky, A. N. Matvienko, Yu. M. Platonov, D. O. Savin, “Computer tomography of multilayer electronic devices”, Dokl. Akad. Nauk SSSR, 311:4 (1990), 859–861 |
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1989 |
23. |
A. N. Tikhonov, A. V. Goncharsky, A. N. Matvienko, I. Yu. Pikus, V. A. Yakubov, “Seismic tomography in the problems of engineering geophysics”, Dokl. Akad. Nauk SSSR, 304:4 (1989), 840–844 |
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1988 |
24. |
A. V. Goncharsky, V. V. Stepanov, “An inverse problem of the formation of coherent radiation”, Dokl. Akad. Nauk SSSR, 303:2 (1988), 279–283 ; Dokl. Math., 38:3 (1989), 511–515 |
25. |
A. V. Goncharsky, E. V. Zakharov, G. I. Manankova, E. V. Nikitina, “On the boundaries of applicability of Kirchhoff and Fresnel approximation in the inverse problems of plane optics synthesis”, Dokl. Akad. Nauk SSSR, 301:4 (1988), 840–844 |
26. |
A. V. Goncharsky, V. V. Stepanov, “Problems of the focusing of radiation in the Fresnel
approximation”, Dokl. Akad. Nauk SSSR, 299:1 (1988), 115–118 ; Dokl. Math., 33:3 (1988), 185–187 |
27. |
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 ; U.S.S.R. Comput. Math. Math. Phys., 28:5 (1988), 169–177 |
28. |
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 ; U.S.S.R. Comput. Math. Math. Phys., 28:3 (1988), 210–213 |
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1987 |
29. |
A. N. Tikhonov, P. N. Bochikashvili, A. V. Goncharsky, A. N. Matvienko, E. I. Rau, D. O. Savin, V. V. Stepanov, “Microtomography of layered media in conical beams”, Dokl. Akad. Nauk SSSR, 296:5 (1987), 1095–1097 |
30. |
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 |
31. |
A. V. Goncharsky, V. V. Stepanov, “The computer diagnostics of semiconductor crystals”, Dokl. Akad. Nauk SSSR, 292:1 (1987), 60–63 |
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1986 |
32. |
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 |
33. |
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 |
1
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34. |
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 |
35. |
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 |
36. |
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 [Sov J Quantum Electron, 16:3 (1986), 432–433 ] |
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37. |
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 ; U.S.S.R. Comput. Math. Math. Phys., 26:1 (1986), 50–57 |
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1985 |
38. |
A. V. Goncharsky, V. A. Danilov, V. V. Popov, A. M. Prokhorov, I. N. Sisakyan, V. A. Soifer, V. V. Stepanov, “Focusing elements for material laser treatment”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 11:23 (1985), 1428–1432 |
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1984 |
39. |
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 |
40. |
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 |
41. |
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 [Sov J Quantum Electron, 14:1 (1984), 108–109 ] |
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1983 |
42. |
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 |
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1980 |
43. |
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 |
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1979 |
44. |
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 |
2
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45. |
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 |
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1976 |
46. |
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 |
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1975 |
47. |
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 ; U.S.S.R. Comput. Math. Math. Phys., 15:2 (1975), 8–16 |
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1974 |
48. |
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 |
49. |
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 ; U.S.S.R. Comput. Math. Math. Phys., 14:4 (1974), 195–201 |
3
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50. |
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 ; U.S.S.R. Comput. Math. Math. Phys., 14:1 (1974), 14–23 |
4
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1973 |
51. |
A. V. Goncharsky, A. S. Leonov, A. G. Yagola, “A generalized residual principle”, Zh. Vychisl. Mat. Mat. Fiz., 13:2 (1973), 294–302 ; U.S.S.R. Comput. Math. Math. Phys., 13:2 (1973), 25–37 |
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1972 |
52. |
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 |
1
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53. |
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 ; U.S.S.R. Comput. Math. Math. Phys., 12:6 (1972), 286–290 |
9
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54. |
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 ; U.S.S.R. Comput. Math. Math. Phys., 12:3 (1972), 243–254 |
2
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55. |
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 ; U.S.S.R. Comput. Math. Math. Phys., 12:2 (1972), 1–18 |
1
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1971 |
56. |
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 ; U.S.S.R. Comput. Math. Math. Phys., 11:5 (1971), 253–260 |
3
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1970 |
57. |
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 |
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1969 |
58. |
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 |
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