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Leontev, Victor Leontevich
Statistics Math-Net.Ru
Total publications: 20
Scientific articles: 20

Number of views:
This page:3348
Abstract pages:5044
Full texts:2288
References:642
Professor
Doctor of physico-mathematical sciences (2002)
Speciality: 05.13.18 (Mathematical modeling, numerical methods, and the program systems)
E-mail:
Keywords: variational principles; mixed numerical methods; the theory of approximation; orthogonal compactly supported functions; wavelets.

Subject:

The new techniques of construction of orthogonal compactly supported functions are developed, which have the certain advantages before wavelets. The variational grid methods connected to mixed variational principles and to such orthogonal compactly supported functions are investigated.

Biography

Graduated from Faculty of Physics and Mechanics of the Leningrad Polytechnical Institute in 1973 (department of mechanics and control processes).
   
Main publications:
  • Leontev V. L., Lukashanets N. Ch. O setochnykh bazisakh ortogonalnykh finitnykh funktsii // Zhurnal vychislit. matematiki i matem. fiziki, 1999, t. 39, # 7, 1158–1168.
  • Leontev V. L. Ortogonalnye finitnye funktsii v zadachakh na sobstvennye znacheniya // Zhurnal vychislit. matematiki i matem. fiziki, 2001, t. 41, # 6, 874–880.
  • Leontev V.L. Ortogonalnye finitnye funktsii i chislennye metody. UlGU: Ulyanovsk. 2003

https://www.mathnet.ru/eng/person17518
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:leontev.v-l
https://mathscinet.ams.org/mathscinet/MRAuthorID/654027

Publications in Math-Net.Ru Citations
2022
1. V. L. Leontiev, “Fourier method related with orthogonal splines in parabolic initial boundary value problem for domain with curvilinear boundary”, Ufimsk. Mat. Zh., 14:2 (2022),  58–69  mathnet; Ufa Math. J., 14:2 (2022), 56–66
2. V. L. Leont'ev, “Finite Fourier series in hyperbolic initial-boundary value problems for domains with curved boundaries”, Zh. Vychisl. Mat. Mat. Fiz., 62:10 (2022),  1662–1681  mathnet  elib; Comput. Math. Math. Phys., 62:10 (2022), 1632–1650
2017
3. S. V. Bulyarskii, A. A. Dudin, A. P. Orlov, A. A. Pavlov, V. L. Leontev, “Forced vibration of a carbon nanotube with emission currents in an electromagnetic field”, Zhurnal Tekhnicheskoi Fiziki, 87:11 (2017),  1624–1627  mathnet  elib; Tech. Phys., 62:11 (2017), 1627–1630 8
4. A. V. Shchurenko, V. L. Leontiev, “Compactly supported functions in cryptography algorithms”, Prikl. Diskr. Mat., 2017, no. 36,  73–83  mathnet
2015
5. V. L. Leontiev, “Orthogonal Franklin system and orthogonal system of finite functions in numerical methods of boundary problems solving”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 19:2 (2015),  398–404  mathnet  zmath  elib
2011
6. V. L. Leont'ev, A. V. Kochulimov, “On orthogonal second order finite functions associated with triangular meshes and their application in mathematical modeling”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(22) (2011),  241–243  mathnet
2009
7. V. L. Leont'ev, “О численном методе решения задач теории пластичности”, Matem. Mod. Kraev. Zadachi, 1 (2009),  145–146  mathnet
2008
8. A. V. Kochulimov, V. L. Leont'ev, “Orthogonal finite functions of the second degree on triangular meshes and their application in geometrical models”, Trudy SVMO, 10:2 (2008),  126–129  mathnet
2006
9. V. L. Leont'ev, E. A. Rikov, “Integral transforms associated with orthogonal finite functions in the spectral analysis of signals”, Matem. Mod., 18:7 (2006),  93–100  mathnet  mathscinet  zmath 3
2005
10. A. R. Krasilnikov, V. L. Leont'ev, “On the variational-grid method of the plates theory”, Matem. Mod., 17:3 (2005),  23–34  mathnet  zmath 2
11. V. L. Leont'ev, E. A. Rikov, “Интегральные ОФФ преобразования в задачах моделирования сигналов”, Matem. Mod. Kraev. Zadachi, 2 (2005),  168–170  mathnet
12. A. R. Krasilnikov, V. L. Leont'ev, “Апостериорная оценка точности приближенного решения краевой задачи изгиба пластины”, Matem. Mod. Kraev. Zadachi, 1 (2005),  157–160  mathnet
2004
13. V. L. Leont'ev, “Об ортогональных финитных функциях и связанных с ними вариационно-сеточных методах решения краевых задач”, Matem. Mod. Kraev. Zadachi, 3 (2004),  140–143  mathnet
2003
14. V. L. Leont'ev, A. Yu. Melent'ev, “Grid methods of calculations curvilinear bars”, Matem. Mod., 15:10 (2003),  95–104  mathnet  zmath
2002
15. V. L. Leont'ev, “Orthogonal splines and variational-grid method”, Matem. Mod., 14:3 (2002),  117–127  mathnet  mathscinet  zmath 3
16. V. L. Leont'ev, A. Yu. Melent'ev, “Orthogonal finite functions in variational-grid methods of the theory of curvilinear bars”, Matem. Mod., 14:2 (2002),  39–50  mathnet  zmath 1
17. V. L. Leont'ev, “About convergence of a mixed variational-grid method”, Sib. Zh. Vychisl. Mat., 5:1 (2002),  25–34  mathnet  zmath
2001
18. V. L. Leont'ev, N. Ch. Lukashanets, “Orthogonal compactly supported functions on triangular grids and their use in a mixed variational-difference method”, Zh. Vychisl. Mat. Mat. Fiz., 41:7 (2001),  1090–1098  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:7 (2001), 1038–1046
19. V. L. Leont'ev, “Orthogonal compactly supported functions in eigenvalue problems”, Zh. Vychisl. Mat. Mat. Fiz., 41:6 (2001),  874–880  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:6 (2001), 825–831 1
1999
20. V. L. Leont'ev, N. Ch. Lukashanets, “Grid bases of orthogonal compactly supported functions”, Zh. Vychisl. Mat. Mat. Fiz., 39:7 (1999),  1158–1168  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:7 (1999), 1116–1126 9

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