Публикации СКЦМИ СКФУ за 2022 год

1. Nikki Kedia, Anatoly A. Alikhanov, Vineet Kumar Singh. Stable numerical schemes for time-fractional diffusion equation with generalized memory kernel // Applied Numerical Mathematics, 2022, Volume 172, Pages 546-565, DOI: 10.1016/j.apnum.2021.11.006 (Q1 SJR)

2. P.N. Vabishchevich Numerical solution of the Cauchy problem for Volterra integrodifferential equations with difference kernels // Applied Numerical Mathematics, 2022, Volume 174, P. 177-190, DOI: 10.1016/j.apnum.2022.01.013 (Q1 SJR)

3. Tchernykh, A., Babenko, M., Shiriaev, E., Pulido-Gaytan, B., Cortés-Mendoza, J. M., Avetisyan, A., Drozdov, A. Y., and Kuchukov, V. (2022) An Efficient Method for Comparing Numbers and Determining the Sign of a Number in RNS for Even Ranges // Computation, 10(2), 17. https://doi.org/10.3390/computation10020017 (Q2 SJR)

4. Babenko, M., Tchernykh, A., & Kuchukov, V. (2022). Improved Modular Division Implementation with the Akushsky Core Function // Computation, 10(1), 9. https://doi.org/10.3390/computation10010009 (Q2 SJR)

5. Rewer M. Canosa-Reyes, Andrei Tchernykh, Jorge M. Cortés-Mendoza, Bernardo Pulido-Gaytan, Raúl Rivera-Rodriguez, Jose E. Lozano-Rizk, Eduardo R. Concepción-Morales, Harold Enrique Castro Barrera, Carlos J. Barrios-Hernandez, Favio Medrano-Jaimes, Arutyun Avetisyan, Mikhail Babenko, Alexander Yu. Drozdov. Dynamic performance–Energy tradeoff consolidation with contention-aware resource provisioning in containerized clouds // Plos one, (2022). 17(1), e0261856. doi: 10.1371/journal.pone.0261856 (Q1 SJR)

6. Babenko, M., Nazarov, A., Deryabin, M., Kucherov, N., Tchernykh, A., Hung, N. V., Avetisyan, A., Toporkov, V. (2022). Multiple Error Correction in Redundant Residue Number Systems: A Modified Modular Projection Method with Maximum Likelihood Decoding // Applied Sciences, 12(1), 463. doi: 10.3390/app12010463 (Q2 Q3 SJR)

Tchernykh, A., Babenko, M., Avetisyan, A., Drozdov, A. Y. (2022). En-AR-PRNS: Entropy-Based Reliability for Configurable and Scalable Distributed Storage Systems // Mathematics, 10(1), 84. doi: 10.3390/math10010084 (Q2 SJR)

7. N. N. Nagornov, P. A. Lyakhov, M. V. Valueva and M. V. Bergerman, "RNS-Based FPGA Accelerators for High-Quality 3D Medical Image Wavelet Processing Using Scaled Filter Coefficients," in IEEE Access, vol. 10, pp. 19215-19231, 2022, doi: 10.1109/ACCESS.2022.3151361. (Q1 SJR)

8. Abdulkadirov, R.; Lyakhov, P. Estimates of Mild Solutions of Navier–Stokes Equations in Weak Herz-Type Besov–Morrey Spaces. Mathematics 2022, 10, 680. https://doi.org/10.3390/math10050680. (Q2 SJR)

9. Lyakhov, P.A.; Lyakhova, U.A.; Nagornov, N.N. System for the Recognizing of Pigmented Skin Lesions with Fusion and Analysis of Heterogeneous Data Based on a Multimodal Neural Network. Cancers 2022, 14, 1819. doi: 10.3390/cancers14071819 (Q1 SJR)

10. Babenko, M.; Tchernykh, A.; Pulido-Gaytan, B.; Avetisyan, A.; Nesmachnow, S.; Wang, X.; Granelli, F. Towards the Sign Function Best Approximation for Secure Outsourced Computations and Control. Mathematics 2022, 10, 2006. https://doi.org/10.3390/math10122006 (Q2 SJR)

11. Wenyuan Li, Anatoly Alikhanov, Yalchin Efendiev, Wing Tat Leung. Partially explicit time discretization for nonlinear time fractional diffusion equations // Communications in Nonlinear Science and Numerical Simulation. 2022. Volume 113. 106440. doi: 10.1016/j.cnsns.2022.106440 (Q1 SJR)

12. Anatoly A. Alikhanov, Chengming Huang. A class of time-fractional diffusion equations with generalized fractional derivatives // Journal of Computational and Applied Mathematics. 2022. Volume 414. 114424. doi: 10.1016/j.cam.2022.114424 (Q2 SJR)

13. Petr N. Vabishchevich. Numerical solution of the heat conduction problem with memory // Computers and Mathematics with Applications. Vol. 118, 15 July 2022, pp. 230-236. DOI: 10.1016/j.camwa.2022.05.020 (Q1 Q2 SJR)

14. Beshtokov M.Kh. Numerical methods for solving the second boundary value problem for a multidimensional Sobolev type equation // Differencialnie Uravnenia i Protsesy Upravlenia. 2022, Vol 1, Pp 114 – 139. (Q3 SJR)

15. Beshtokova Z.V. Numerical method for solving an initial-boundary value problem for a multidimensional loaded parabolic equation of a general form with conditions of the third kind // Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta, Seriya Fiziko-Matematicheskie Vol. 26, № 1, Pp. 7 – 35. 2022 DOI 10.14498/vsgtu1908 (Q3 SJR)

16. Бештокова З.В. Разностный метод решения уравнения конвекции-диффузии с неклассическим граничным условием в многомерной области // Компьютерные исследования и моделирование. 2022. Т.14. №3. C. 559-579 doi.org/10.20537/2076-7633-2022-14-3-559-579 (Q3 SJR)

17. Kulterbayev Kh. P.. Determination of eigenvalues in problems on the buckling of compressed rods (part I). ISTC-EARTHSCI. IOP Publishing. IOP Conference Series: Earth and Environmental Science 988(5) 052061 (2022) doi:10.1088/1755-1315/988/5/052061 (SJR)

18. Kulterbayev Kh. P. Determination of eigenvalues in problems of loss of stability of compressed rods (part II). ISTC-EARTHSCI. IOP Publishing. IOP Conference Series: Earth and Environmental Science 988(5) 052072 (2022) doi:10.1088/1755-1315/988/5/052072 (SJR)

19. Pachev, U.M., Khalilova, L.A. On an Asymptotics of the Number of Representations of a Pair of Integers by Quadratic and Linear Forms with Congruential Condition // Mathematical Notes, 2022, 111(5-6), стр. 736–746 DOI 10.1134/S0001434622050078 (Q2 SJR)

20. Singh, A.K., Mehra, M., Alikhanov, A.A. (2022). Data-Driven Discovery of Time Fractional Differential Equations // In: Groen, D., de Mulatier, C., Paszynski, M., Krzhizhanovskaya, V.V., Dongarra, J.J., Sloot, P.M.A. (eds) Computational Science – ICCS 2022. ICCS 2022. Lecture Notes in Computer Science, vol 13351. Springer, Cham. https://doi.org/10.1007/978-3-031-08754-7_8 (Q2 SJR)

21. Abshaev M.T., Zakinyan R.G., Abshaev A.M., Zakinyan A.R., Ryzhkov R.D., Wehbe Y., Al Mandous A. Atmospheric conditions favorable for the creation of artificial clouds by a jet saturated with hygroscopic aerosol // Atmospheric Research, 2022, 277, 106323, DOI: 10.1016/j.atmosres.2022.106323 (Q1 SJR)

22. Tyrylgin Aleksei, Stepanov Sergei, Ammosov Dmitry, Grigorev Aleksandr, Vasilyeva Maria. Partial Learning Using Partially Explicit Discretization for Multicontinuum/Multiscale Problems with Limited Observation: Dual Continuum Heterogeneous Poroelastic Media Simulation // Mathematics, 2022, 10(15), 2629; https://doi.org/10.3390/math10152629 (Q2 SJR)

23. Tyrylgin Aleksei, Vasilyeva Maria, Alikhanov Anatoly, Sheen Dongwoo. A computational macroscale model for the time fractional poroelasticity problem in fractured and heterogeneous media // Journal of Computational and Applied Mathematics, 2022, V. 418, 114670, DOI: 10.1016/j.cam.2022.114670 (Q2 SJR)

24. Vabishchevich P.N. Splitting Schemes for One Class of Operator Differential Equations // Computational Mathematics and Mathematical Physics 2022. Vol. 62, P. 1033–1040 DOI: 10.1134/S0965542522070107 (Q3 SJR)

25. Vabishchevich P.N. Numerical Solution of the Cauchy Problem for a Second-Order Integro-Differential Equation // Differential Equations, 2022, 58(7), pp. 899–907 DOI: 10.1134/S0012266122070047 (Q2 SJR)

26. Zakinyan, R.G., Zakinyan, A.R., Kulgina, L.M. Analytical Solution of a Two-Dimensional Model of Dry Air Convection in a Stratified Atmosphere. In: Zakinyan, R., Zakinyan, A. (eds) Physics of the Atmosphere, Climatology and Environmental Monitoring. PAPCEM 2022. Springer Proceedings in Earth and Environmental Sciences. Springer, Cham. (2023). https://doi.org/10.1007/978-3-031-19012-4_33 (Scopus)

27. Afanasyev, I.S., Zakinyan, R.G., Smerek, Y.L. (2023). Vibrational Regimes in the Atmosphere. In: Zakinyan, R., Zakinyan, A. (eds) Physics of the Atmosphere, Climatology and Environmental Monitoring. PAPCEM 2022. Springer Proceedings in Earth and Environmental Sciences. Springer, Cham. https://doi.org/10.1007/978-3-031-19012-4_3 (Scopus)

28. Lyakhov P., Vahabi M., Bahar A.N., Otsuki A., Wahid K.A. Novel Reversible Comparator Design in Quantum Dot-Cellular Automata with Power Dissipation Analysis // Applied Sciences, Vol. 12(15), p. 7846 (Q2 Q3 SJR)

29. Lyakhov P., Special Issue on Mathematics and Digital Signal Processing // Applied Sciences, Vol. 12(18), p. 9033 (Q2 Q3 SJR)

30. Lyakhov P., Special Issue on Advanced Information Processing Methods and Their Applications // Applied Sciences, Vol. 12(18), p. 9090 (Q2 SJR)

31. Ляхов П.А., Валуева М.В., Нагорнов Н.Н., Валуев Г.В. Высокопроизводительные архитектуры цифровой фильтрации изображений в системе остаточных классов на основе метода Винограда // Компьютерная оптика Vol. 46(5), p. 752-762 (Q2 SJR)

32. Abdulkadirov R., Lyakhov P., Nagornov N. Accelerating Extreme Search of Multidimensional Functions Based on Natural Gradient Descent with Dirichlet Distributions // Mathematics, Vol. 10(19), p. 3556 (Q2 SJR)

33. Lyakhov P., Valueva M., Levina A., Mukhamedjanov D., Bogaevskiy D., Kaplun D. High Performance Parallel Pseudorandom Number Generator on Cellular Automata // Symmetry, Vol. 14(9), p. 1869 (Q2 SJR)

34. Lyakhov PA, Dolgalev AA, Lyakhova UA, Muraev AA, Zolotayev KE and Semerikov DY (2022) Neural network system for analyzing statistical factors of patients for predicting the survival of dental implants. // Frontiers in Neuroinformatics 16:1067040. doi: 10.3389/fninf.2022.1067040 (Q1 SJR)

35. Hu, J., Alikhanov, A., Efendiev, Y. et al. Partially explicit time discretization for time fractional diffusion equation // Fractional Calculus and Applied Analysis, 2022, 25(5), pp. 1908-1924, https://doi.org/10.1007/s13540-022-00092-6 (Q1 SJR)

36. Apekov А.М., Shebzukhova I.G. Orientational Dependence of the Interphase Energy of Low Temperature Modification of Titanium at the Boundary with an Organic Liquid // Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials, 2022, V. 14, P. 17-23. DOI: 10.26456/pcascnn/2022.14.017 (WoS)

37. Beshtokov M.Kh. Finite-difference method for solving a multidimensional pseudoparabolic equation with boundary conditions of the third kind // Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki, 2022, vol. 32, issue 4, pp. 502-527 DOI: 10.35634/vm220402 (Q3 SJR)

38.Lyakhov, P., Nagornov, N., Bergerman, M. (2022). Comparison of Approaches to the Circuits Design for DWT with CDF 9/7 Wavelet // Lecture Notes in Networks and Systems, 2022, vol 424, pp 1–9. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_1 (Q4 Scopus)

39. Shaposhnikov, A., Orazaev, A., Eremenko, E., Malakhov, D. (2022). Hamming Neural Network in Discrete Form // Lecture Notes in Networks and Systems, 2022, vol 424, pp 11–17 Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_2 (Q4 Scopus)

40. Abdulkadirov, R.I., Lyakhov, P.A. (2022). Improving Extreme Search with Natural Gradient Descent Using Dirichlet Distribution // Lecture Notes in Networks and Systems, 2022, vol 424, pp 19–28. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_3 (Q4 Scopus)

41. Bergerman, M., Lyakhov, P., Semyonova, N., Bogaevskiy, D., Kaplun, D. (2022). CRTf-Based Reverse Converter for RNS with Low-Cost Modules {2n,2n−1,2n+1−1}{2n,2n−1,2n+1−1} // Lecture Notes in Networks and Systems, 2022, vol 424, pp 29–39. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_4 (Q4 Scopus)

42. Lyakhov, P.A., Lyakhova, U.A., Baboshina, V.A. (2022). Neural Network Classification of Dermatoscopic Images of Pigmented Skin Lesions // Lecture Notes in Networks and Systems, 2022, vol 424, pp 41–49. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_5 (Q4 Scopus)

43. Lyakhov, P., Abdulsalyamova, A. (2022). On the Algorithmic Complexity of Digital Image Processing Filters with Winograd Calculations // Lecture Notes in Networks and Systems, 2022, vol 424, pp 71–89. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_8 (Q4 Scopus)

44. Kulterbaev, K.P., Lafisheva, M.M. (2022). Non-classical Methods of Determination Critical Forces of Compressed Rods // Lecture Notes in Networks and Systems, 2022, vol 424, pp 91–102. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_9 (Q4 Scopus)

45. Lyakhov, P., Kalita, D., Bergerman, M. (2022). Hardware Implementation of the Kalman Filter for Video Signal Processing // Lecture Notes in Networks and Systems, 2022, vol 424, pp 133–142. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_12 (Q4 Scopus)

46. Kulterbaev, K., Lafisheva, M., Baragunova, L. (2022). Solving the Euler Problem for a Flexible Support Rod Base on the Finite Difference Method // Lecture Notes in Networks and Systems, 2022, vol 424, pp 143–151. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_13 (Q4 Scopus)

47. Tyrylgin, A., Vasilyeva, M., Alikhanov, A. (2022). Multiscale Model Reduction for the Poroelasticity Problems Using Embedded Fracture Model // Lecture Notes in Networks and Systems, 2022, vol 424, pp 153–162. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_14 (Q4 Scopus)

48. Berezhnoy, V. (2022). Error Correction Method in Modular Redundant Codes // Lecture Notes in Networks and Systems, 2022, vol 424, pp 163–174. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_15 (Q4 Scopus)

49. Rozhenko, O., Darzhania, A., Bondar, V., Mirzoyan, M., Skvortsova, O. (2022). Comparative Analysis of the Mathematical Literacy Level in First-Year Students of the North-Caucasus Federal University, Based on the International PISA Studies // Lecture Notes in Networks and Systems, 2022, vol 424, pp 175–183. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_16 (Q4 Scopus)

50. Malofey, A., Malofey, O., Zhuk, A., Troshkov, A., Bondar, V. (2022). Implementation of the Learning Procedure with Equalized Errors on the Receiving Side of the Information Transmission System // Lecture Notes in Networks and Systems, 2022, vol 424, pp 185–196. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_17 (Q4 Scopus)

51. Kedia, N., Alikhanov, A.A., Singh, V.K. (2022). Numerical Methods for Solving the Robin Boundary Value Problem for a Generalized Diffusion Equation with a Non-smooth Solution // Lecture Notes in Networks and Systems, 2022, vol 424, pp 219–228. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_20 (Q4 Scopus)

52. Kocherov, Y., Babenko, M., Samoylenko, D. (2022). Group Method of Data Separation in Wireless Sensor Networks // Lecture Notes in Networks and Systems, 2022, vol 424, pp 263–270. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_24 (Q4 Scopus)

53. Troshkov, A., Malofey, A., Malofey, O., Bondar, V. (2022). A Simulation Device Model for Managing Access to Confidential Information Stored in a Cloud // Lecture Notes in Networks and Systems, 2022, vol 424, pp 291–300. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_27 (Q4 Scopus)

54. Oblasova, I., Timofeeva, E., Shiryaeva, N. (2022). Implementation of an Integro-Differential Model of a Singularly Loaded Rod by the Finite Element Method // Lecture Notes in Networks and Systems, 2022, vol 424, pp 301–315. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_28 (Q4 Scopus)

55. Timofeeva, E., Timofeeva, N., Oblasova, I., Shiryaeva, N., Grigoryan, L. (2022). Experience and Prospects of Implementing a Model of Mathematics Distance Learning in North-Caucasus Federal University Training e-Environment // Lecture Notes in Networks and Systems, 2022, vol 424, pp 317–326. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_29 (Q4 Scopus)

56. Rozhenko, O., Darzhanya, A., Bondar, V., Mirzoyan, M., Skvortsova, O. (2022). Employing the TIMSS International Study Tools to Evaluate Mathematical Competencies in Future Teachers of Mathematics // Lecture Notes in Networks and Systems, 2022, vol 424, pp 337–346. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_31 (Q4 Scopus)

57. Beshtokov, M., Beshtokova, Z., Olisaev, E., Khudalov, M. (2022). Difference Methods of Solving Non-local Boundary Value Problems for a Loaded Generalized Diffusion Equation with Bessel Operator // Lecture Notes in Networks and Systems, 2022, vol 424, pp 357–369. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_33 (Q4 Scopus)

58. Timofeeva, E., Sukhinov, A., Chistiakov, A., Timofeeva, N. (2022). Discrete Implementation of Korteweg de Vries Equation Based on a Modified “Cabaret” Scheme // Lecture Notes in Networks and Systems, 2022, vol 424, pp 371–383. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_34 (Q4 Scopus)

59. Beshtokov, M.K. (2022). Numerical Methods for Solving Boundary Value Problems for the Generalized Integro-differential Modified Moisture Transfer Equation with the Bessel Operator // Lecture Notes in Networks and Systems, 2022, vol 424, pp 427–440. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_39 (Q4 Scopus)

60. Shiriaev, E., Bezuglova, E., Kucherov, N., Valuev, G. (2022). Modeling Hyperchaotic Datasets for Neural Networks // Lecture Notes in Networks and Systems, 2022, vol 424, pp 441–453. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_40 (Q4 Scopus)

61. Vershkov N., Babenko M., Kuchukov V., Kuchukova N. (2022). Neural Network Analysis for Image Classification // Lecture Notes in Networks and Systems, 2022, vol 424, pp 455–466. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_41 (Q4 Scopus)

62. Bezuglova, E., Shiriaev, E., Kucherov, N., Valuev, G. (2022). An Overview of the Methods Used to Recognize Garbage // Lecture Notes in Networks and Systems, 2022, vol 424, pp 467–478. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_42 (Q4 Scopus)

63. Gladkov, A., Gladkova, N., Kucherov, N. (2022). Analytical Review of Methods for Detection, Localization and Error Correction in the Residue Number System // Lecture Notes in Networks and Systems, 2022, vol 424, pp 507–514. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_46 (Q4 Scopus)

64. Alikhanov, A., Apekov, A., Huang, C. (2022). A High-Order Difference Scheme for the Diffusion Equation of Multi-term and Distributed Orders // Lecture Notes in Networks and Systems, 2022, vol 424, pp 515–523. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_47 (Q4 Scopus)

65. Tarasenko, E.O., Gladkov, A.V., Gladkova, N.A. (2022). Solution for Inverse Boundary Value Problems on the Power of a Concentrated Charge in a Mathematical Model of Subsidence Soils Compaction // Lecture Notes in Networks and Systems, 2022, vol 424, pp 537–545. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_49 (Q4 Scopus)

66. Gudieva N., Toroptsev E. (2022). Dynamic Model of Inter-Industry Balance, the Problem of Its Digitizing and Simulation of Structural Transient Processes // Lecture Notes in Networks and Systems, 2022, vol 424, pp 547–568. Springer, Cham. https://doi.org/10.1007/978-3-030-97020-8_50 (Q4 Scopus)