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Gorshkov, A S
Total publications: 28 (28)
in MathSciNet: 8 (8)
in zbMATH: 9 (9)

Number of views:
This page:183
Abstract pages:965
Full texts:352
Candidate of physico-mathematical sciences (1993)
E-mail:

https://www.mathnet.ru/eng/person156428
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:gorshkov.a-s

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

Articles
1. Gorshkov A.S., “Computer Algorithms Package for 3D CAD-CAM Applications”, SAPRiGraphica, 2003, no. 3, 72-74 https://sapr.ru/article/7034
2. Gorshkov A.S., “High-Performance Algorithmic Technology for 3D Graphics”, Proc. of GRAPHICON-1999 (Moscow, 1999), 1999, 272-276
3. A. S. Gorshkov, “Generalized system of linear algorithms for information digital processing”, Dokl. Akad. Nauk, 336:5 (1994), 605–609  mathnet
4. A. S. Gorshkov, V. F. Kravchenko, V. L. Rvachev, “Atomic harmonic functions and a generalized FFT algorithm”, Dokl. Math., 39:6 (1994), 403–406  mathnet  mathscinet  zmath
5. A. S. Gorshkov, V. F. Kravchenko, V. L. Rvachev, “Atomic exponential functions”, Dokl. Math., 39:5 (1994), 297–299  mathnet  mathscinet  zmath
6. A. S. Gorshkov, “Method of fast multiplication modulo Fermat primes”, Dokl. Akad. Nauk, 336:2 (1994), 175–178  mathnet  zmath
7. A. S. Gorshkov, “On the method of the number-theoretic Mersenne transform”, Dokl. Math., 39:5 (1994), 312–313  mathnet  mathscinet  zmath
8. Gorshkov A.S. et al, “New Signals and Images Discretization and Interpolation Method”, Izmeritelnaya Tekhnika, 1993, no. 3, 3-5
9. Gorshkov A.S., “Quick Theoretic-Numeric Method for Image Synthesis and Compression”, Programmirovaniye, 1992, no. 4, 72-78
10. Gorshkov A.S. et al, “Discrete Derivative of the Signal Evaluation Based on Atomic Functions”, Izmeritelnaya Tekhnika, 1992, no. 1, 10-12
11. Gorshkov A.S. et al, “Super-Fast FFT-Processor Algorithm and Architecture”, Izmeritelnaya Tekhnika, 1992, no. 1, 12-14
12. Gorshkov A.S. et al, “Quick Theoretical-Numeric Multiplication Algorithm for Digital Processing Devices”, Izmeritelnaya Tekhnika, 1992, no. 1, 14-15
13. A. S. Gorshkov, V. F. Kravchenko, V. A. Rvachev, V. L. Rvachev, “The method of signal discretization and interpolation based on atomic function theory”, Dokl. Math., 36:12 (1991), 821–823  mathnet  mathscinet  zmath
14. A. S. Gorshkov, V. F. Kravchenko, V. A. Rvachev, V. L. Rvachev, “Application of atomic functions for the synthesis of digital filters”, Dokl. Math., 36:12 (1991), 819–820  mathnet  mathscinet  zmath
15. A. S. Gorshkov, V. F. Kravchenko, “Application of Fermat numbers in digital signal processing”, Dokl. Math., 36:10 (1991), 669–671  mathnet  mathscinet  zmath
16. A. S. Gorshkov, V. F. Kravchenko, V. A. Rvachev, V. L. Rvachev, “A method for computing Fourier and Hartley transforms in a finite digital computer system”, Dokl. Math., 36:9 (1991), 621–622  mathnet  mathscinet  zmath
17. A. S. Gorshkov, V. F. Kravchenko, V. A. Rvachev, V. L. Rvachev, “On a number-theoretic method for the fast Fourier transform in the Fermat ring”, Dokl. Math., 36:9 (1991), 616–618  mathnet  mathscinet  zmath
18. A. S. Gorshkov, V. F. Kravchenko, V. A. Rvachev, V. L. Rvachev, “Utilization of atome functions in digital differentiator synthesis”, Dokl. Akad. Nauk SSSR, 319:2 (1991), 347–351  mathnet

Books
19. Gorshkov A.S., “Digital signal processing: atomic functions and number theory”, Mashinostroeniye, Moscow, 1996 , 224 pp. https://www.graphicon.ru/oldgr/library/books/russian/html/rus2.html

Proceedings
20. Gorshkov A.S., “The Universal Algorithm for 3D Geophysical Volumes (“3D Cubes”) Synthesis with Compression from Non-regular Seismic Data Based on “Fourier-Splines” (“Cube without Cube”)”, Abstracts for «Geomodel-2022» (Gelendjik, Sept 5-8), EAGE, 2022, 1-4
21. Gorshkov A.S., “The Generalized Mathematical Approach of the Geophysical Objects Representation and Processing Based on the Combined Fourier-Hartley Transform and the New Convolutional Basis “Fourier-Splines””, Abstracts for «Geomodel-2021» (Gelendjik, Sept 6-10), EAGE, 2021
22. Gorshkov A.S., “Automatic Searching and Synthesis of 3D Faults in Seismic Data Based on the New Functions Class “Fourier-Splines””, Abstracts for «Geomodel-2020» (Gelendjik, Sept 7-11), EAGE, 2020
23. Gorshkov A.S., “Classical Physical Laws Refinement and Generalization based on Fourier Splines Relatively Electro-Magnetic-Gravitational-Seismic Prospection in Geophysics”, Abstracts for «Geomodel-2019» (Gelendjik, Sept 9-13), EAGE, 2019
24. Gorshkov A.S., “The Method of Geophysical Objects’ Deconvolutional Transform with Comrpession Based on Fourier-Splines”, Abstracts for «Geomodel-2018» (Gelendjik, Sept 10-14), EAGE, 2018
25. Gorshkov A.S., “The Universal Mathematical Modelling Technique for Geophysical Objects Approximation Based on the New Functions Class “Fourier-Splines”.”, Abstracts for «Geomodel-2017» (Gelendjik, Sept 11-14), EAGE, 2017
26. Gorshkov A.S., “The Universal Algorithm for Parametric Maps with Faults Synthesis Based on Fourier-Splines”, Abstracts for «Geomodel-2016» (Gelendjik, Sept 11-15 2016), EAGE, 2016
27. Gorshkov A.S., “The Universal Method of Seismic Cube Visualization and Processing Based on Fourier-Spline Decomposition”, Abstracts for «Geomodel-2009» (Gelendjik, Sept 7-10 2009), EAGE, 2009
28. Gorshkov A.S., “The Universal Method of Seismic Cube Visualization and Processing Based on Fourier-Spline Decomposition”, Abstracts for «Geomodel-2008» (Gelendjik, Sept 22-25 2008), EAGE, 2008

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