RUS  ENG
Full version
PEOPLE

Goncharsky Aleksandr Vladimirovich

Publications in Math-Net.Ru

  1. 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
  2. Implementation and performance of wave tomography algorithms on simd cpu and gpu computing platforms

    Num. Meth. Prog., 22:4 (2021),  322–332
  3. Inverse problems of experimental data interpretation in 3D ultrasound tomography

    Num. Meth. Prog., 20:3 (2019),  254–269
  4. Low-frequency 3D ultrasound tomography: dual-frequency method

    Num. Meth. Prog., 19:4 (2018),  479–495
  5. Inverse problems of sounding pulse formation in ultrasound tomography: mathematical modeling and experiments

    Num. Meth. Prog., 19:2 (2018),  150–157
  6. The problem of choosing initial approximations in inverse problems of ultrasound tomography

    Num. Meth. Prog., 18:3 (2017),  312–321
  7. Inverse problems of layer-by-layer ultrasonic tomography with the data measured on a cylindrical surface

    Num. Meth. Prog., 18:3 (2017),  267–276
  8. Iterative methods for solving inverse problems of ultrasonic tomography

    Num. Meth. Prog., 16:4 (2015),  464–475
  9. Problems of limited-data wave tomography

    Num. Meth. Prog., 15:2 (2014),  274–285
  10. Supercomputer technologies in the development of methods for solving inverse problems in ultrasound tomography

    Num. Meth. Prog., 13:1 (2012),  235–238
  11. Two approaches to the solution of coefficient inverse problems for wave equations

    Zh. Vychisl. Mat. Mat. Fiz., 52:2 (2012),  263–269
  12. On a problem of ultrasonic tomography

    Num. Meth. Prog., 12:3 (2011),  317–320
  13. The inverse problem of wave diagnostics of pavement

    Num. Meth. Prog., 10:2 (2009),  275–280
  14. An approach to solving inverse problems of computational diagnostics on supercomputers

    Num. Meth. Prog., 9:3 (2008),  327–331
  15. Diagnostics of three-dimensional media by synthesized-aperture methods

    Num. Meth. Prog., 8:2 (2007),  154–159
  16. The inverse problem of acoustic diagnosis for three-dimensional media

    Num. Meth. Prog., 7:1 (2006),  113–121
  17. A computer tomography problem in wave approximation

    Num. Meth. Prog., 7:1 (2006),  36–40
  18. On a three-dimensional problem of diagnostics in the wave approximation

    Zh. Vychisl. Mat. Mat. Fiz., 40:9 (2000),  1364–1367
  19. Mathematical model s and the phase problem in inverse problem of $x$-ray diffractometry

    Mat. Model., 6:12 (1994),  117–127
  20. Image reconstruction problems for synthetic aperture radars

    Dokl. Akad. Nauk, 322:5 (1992),  884–886
  21. Problem in focusing of laser radiation

    Kvantovaya Elektronika, 19:6 (1992),  584–586
  22. Computer tomography of multilayer electronic devices

    Dokl. Akad. Nauk SSSR, 311:4 (1990),  859–861
  23. Seismic tomography in the problems of engineering geophysics

    Dokl. Akad. Nauk SSSR, 304:4 (1989),  840–844
  24. An inverse problem of the formation of coherent radiation

    Dokl. Akad. Nauk SSSR, 303:2 (1988),  279–283
  25. 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. Problems of the focusing of radiation in the Fresnel approximation

    Dokl. Akad. Nauk SSSR, 299:1 (1988),  115–118
  27. 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
  28. Fast linear iterative algorithms of image restoration

    Zh. Vychisl. Mat. Mat. Fiz., 28:6 (1988),  933–937
  29. Microtomography of layered media in conical beams

    Dokl. Akad. Nauk SSSR, 296:5 (1987),  1095–1097
  30. Ill-posed problems of image processing

    Dokl. Akad. Nauk SSSR, 294:4 (1987),  832–837
  31. The computer diagnostics of semiconductor crystals

    Dokl. Akad. Nauk SSSR, 292:1 (1987),  60–63
  32. On an inverse problem of optical element synthesis

    Dokl. Akad. Nauk SSSR, 291:3 (1986),  591–595
  33. Computing tomography of objects in X-ray and optical scanning microscopy

    Dokl. Akad. Nauk SSSR, 289:5 (1986),  1104–1107
  34. 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. 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. Planar focusing components for the visible range

    Kvantovaya Elektronika, 13:3 (1986),  660–662
  37. Inverse problems of coherent optics. Focusing in a line

    Zh. Vychisl. Mat. Mat. Fiz., 26:1 (1986),  80–91
  38. Focusing elements for material laser treatment

    Pisma v Zhurnal Tekhnicheskoi Fiziki, 11:23 (1985),  1428–1432
  39. The existence of smooth solutions in problems of electromagnetic radiation focusing

    Dokl. Akad. Nauk SSSR, 279:4 (1984),  788–792
  40. Solvability of certain inverse problems of focusing laser radiation

    Dokl. Akad. Nauk SSSR, 279:1 (1984),  68–71
  41. Devices for focusing laser radiation incident at an angle

    Kvantovaya Elektronika, 11:1 (1984),  166–168
  42. Solution to an inverse problem of the laser radiation focusing into a arbitrary curve

    Dokl. Akad. Nauk SSSR, 273:3 (1983),  605–608
  43. On the nature of Wolf–Rayet stars

    Dokl. Akad. Nauk SSSR, 253:3 (1980),  572–576
  44. On uniformly approximating a solution of bounded variation for ill-posed problems

    Dokl. Akad. Nauk SSSR, 248:1 (1979),  20–22
  45. Algorithms for the approximate solution of incorrectly posed problems on certain compact sets

    Dokl. Akad. Nauk SSSR, 245:6 (1979),  1296–1299
  46. A numerical study of the fundamental equation of superconductivity

    Dokl. Akad. Nauk SSSR, 231:4 (1976),  837–840
  47. 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
  48. On the residual principle for solving nonlinear ill-posed problems

    Dokl. Akad. Nauk SSSR, 214:3 (1974),  499–500
  49. The regularization of ill-posed problems with approximately given operator

    Zh. Vychisl. Mat. Mat. Fiz., 14:4 (1974),  1022–1027
  50. Finite difference approximation of linear ill-posed problems

    Zh. Vychisl. Mat. Mat. Fiz., 14:1 (1974),  15–24
  51. A generalized residual principle

    Zh. Vychisl. Mat. Mat. Fiz., 13:2 (1973),  294–302
  52. 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
  53. A certain regularizing algorithm for ill-posed problems with an approximately given operator

    Zh. Vychisl. Mat. Mat. Fiz., 12:6 (1972),  1592–1594
  54. 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
  55. 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
  56. 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
  57. 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
  58. The uniform approximation of a monotonic solution of ill-posed problems

    Dokl. Akad. Nauk SSSR, 184:4 (1969),  771–773

© Steklov Math. Inst. of RAS, 2026