АСТРАХАНЦЕВ Г.П.

Gennady P. Astrakhantsev

1. Астраханцев Г.П.  Двумерные  краевые задачи с локальными особенностями //Сб. Экономико-математические исследования: математические модели и информационные технологии. VI. СПб: СПб ЭМИ РАН, Нестор-История. (274с.) 2007. с.265-279
2. Astrakhantsev, G.P. On the choice of almost-optimal parameters in algorithms of Arrow-Hurwicz type. (English. Russian original),
   [J] Russ. Math. 47, No. 1, 10-17 (2003); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2003, No. 1, 12-19 (2003).
3. Астраханцев Г.П., Меншуткин В.В., Петрова Н.А, Руховец Л.А. Моделирование экосистем больших стратифицированных озер. “Наука”, СПб отделение, 2003
4. Rukhovets L.A., Astrakhantsev, G.P.,  Menshutkin V.V., et al., Development of Lake Ladoga ecosystem models: modeling of the phytoplankton succession in the eutrophication process. I. Ecological Modelling 165, Issue 1, P.49-77, 2003
5. Руховец Л.А., Астраханцев Г.П., Меншуткин В.В., Петрова Н.А. Комплекс моделей экосистемы Ладожского озера. Журнал “Обозрение прикладной и промышленной математики”, т. 10, вып. 1, 2003, c.39-62
6. Astrakhantsev, G.P., Analysis of algorithms of the Arrow-Hurwicz type (English. Russian original), Comp. Math. and Math. Physics, v.41 (1) (2001), 15-26
7. Астраханцев Г.П. , Руховец Л.А. О работах по вычислительной математике и математическому моделированию //Экономико-математические исследования: математические модели и информационные технологии. СПб. :АО “Центр стратегического анализа общественных процессов”, 2001. С. 160-185
8. Астраханцев Г.П., Капустина Л.Л. и др. Моделирование экосистемы Ладожского озера //Интегрированное управление водными ресурсами Санкт-Петербурга и Ленинградской области. СПб.: Borey Print, 2001. C. 87-192
9. Астраханцев Г.П. Метод фиктивных компонент для эллиптических задач высокого порядка // Экономико-математические иследования: математические модели и информационные технологии. СПб. :Наука,2000. С. 310-315
10. Руховец Л.А., Астраханцев Г.П., Меншуткин В.В. и др. Моделирование экосистемы Ладожского озера: результаты и перспективы. В кн. "Ладожское озеро"(под ред. Н.Н.Филатова.) Петрозаводск: Ин-т водных проблем Севера РАН, 2000, с.405-426.
11. Astrakhantsev G.P. Domain-decomposition method for the problem of bending heterogeneous plate. (English. Russian original) Comput. Math. Math. Phys. 38, No.10, 1686-1694 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No.10, 1758-1766
12. Menshutkin V.V Astrakhantsev G.P., Yegorova N.B., Rukhovets L.A, Simo T.L., Petrova N.A., Mathematical modelling of the evolution and current conditions of the Ladoga Lake ecosystem (English)//Ecological Modelling, 107, N 1, 1-24 pp. (1998)
13. Astrakhantsev, G.P.; Rukhovets, L.A. Fictitious component method of solving the schemes of the finite element method for elliptic boundary value problems with nonlocal boundary conditions in multiply connected domains. (English). [J] Russ. J. Numer. Anal. Math. Model. 13, No.2, 93-105 (1998)
14. Астраханцев Г.П. Численные методы (итерационные методы решения сеточных уравнений) Учеб. Пособие. СПб.: Изд. Центр СПб ГМТУ, 1997.92 с.
15. Astrakhantsev, G. P. Difference analogs of potentials, fictitious-component methods, and decomposition. Vestnik St. Petersburg Univ. Math. (1996), no. 1, 1-7.
16. Astrakhantsev, G.P., Egorova N.B., Menshutkin V.V., Pisulin I.V., Rukhovets L.A., (1996). Mathematical model for the ecosystem response of Lake Ladoga to phosphorus loading. (English) Hydrobiologia 322, 153-157 pp.
17. Astrakhantsev, G.P. The decomposition method for solving elliptic problems in a three-dimensional domain. (English. Russian original) Comput. Math. Math. Phys. 36, No.10, 1393-1400 (1996); translation from Zh. Vychisl. Mat. Mat. Fiz. 36, No.10, 87-96 (1996)
18. Astrakhantsev, G.P.; Rukhovets, L.A. A three-dimensional model of transformation of biogenes and organic matter in lakes. (English) Russ. J. Numer. Anal. Math. Model. 9, No.1, 1-12 (1994).
19. Astrakhantsev, G.P.; Rukhovets, L.A. A numerical method for solving the stratified basin dynamics problem. I. (English) Sov. J. Numer. Anal. Math. Model. 4, No.1, 1-17 (1989).
20. Astrakhantsev, G.P.; Rukhovets, L.A. A numerical method for solving the stratified basin dynamic problem. II. (English) Sov. J. Numer. Anal. Math. Model. 4, No.2, 87-97 (1989)
21. Astrakhantsev, G.P. On a mixed finite-element method in problems of shell theory. (English. Russian original) U.S.S.R. Comput. Math. Math. Phys. 29, No.5, 167-176 (1989 )
22. Astrakhantsev, G.P.; Rukhovets, L.A. On a method of determination of integral circulation in the problem of geophyisical hydrothermodynamics. (Russian) Vychisl. Protsessy Sist. 6, 40-47 (1988 )
23. Астраханцев; Г.П.,;Егорова Н.Б.,; Руховец Л.А. Численное моделирование круглогодичной циркуляции глубоких озер // ДАН СССР, т.296, №6, 1987, с.1331-1334
24. Astrakhantsev, G.P.; Rukhovets, L.A. Fictitious component method for solving grid equations used to approximate higher-order elliptic equations with natural boundary conditions. (English) Sov. J. Numer. Anal. Math. Model. 1, No.1, 37-46 (1986)
25. Astrakhantsev, G.P. Numerical solution of the Dirichlet problem using a discrete analogue of the double-layer potential. (English)
    Sov. J. Numer. Anal. Math. Model. 1, No.4, 267-276 (1986).
26. Astrakhantsev, G.P.; Rukhovets, L.A. A discrete hydrothermodynamic model of climatic circulation of a deep lake. (Russian) Vychisl. Protsessy Sist. 4, 135-178 (1986).
27. Astrakhantsev, G.P. Numerical solution of mixed boundary value problems for second-order elliptic equations in an arbitrary domain. (English. Russian original) U.S.S.R. Comput. Math. Math. Phys. 25, No.1, 129-135 (1985)
28. Astrakhantsev, G.P. Numerical solution of a mixed boundary value problem using difference analogs of simple and double layer potential. (Russian) Variational-difference methods in mathematical physics, Part 1, Collect. Sci. Works, Moskva 1984, 26-34 (1984)
29. Astrakhantsev, G.P.; Rukhovets, L.A. The method of relaxation on a sequence of meshes for elliptic equations with natural boundary conditions. (English. Russian original) U.S.S.R. Comput. Math. Math. Phys. 21, No.4,1 11-130 (1981); translation from Zh. Vychisl. Mat. Mat. Fiz. 21, 926-944 (1981)
30. Astrakhantsev, G.P.; Rukhovets, L.A. Fedorenko's method for variational difference schemes with extrapolation. (Russian) Variational-difference methods in mathematical physics, IV. All-Union Conf. 1980, Novosibirsk 1981, 20-26 (1981)
31. Astrahancev, G.P. Method of fictitious domains for a second-order elliptic equation with natural boundary conditions. (English. Russian original)
    U.S.S.R. Comput. Math. Math. Phys. 18, No.1, 114-121 (1978).
32. Astrahancev, G.P. A method for the approximate solution of the Dirichlet problem for the biharmonic equation. (English. Russian original)
    U.S.S.R. Comput. Math. Math. Phys. 17(1977), No.4, 157-175
33. Astrahancev, G. P. Numerical solution of the Dirichlet problem in an arbitrary domain. (Russian) Difference and variational-difference methods (Proc. Second Sem. Methods of Numer. Appl. Math., Novosibirsk, 1977) (Russian), pp. 63--72, Akad. Nauk SSSR Sibirsk. Otdel., Vychisl. Tsentr, Novosibirsk, 1977
34. Astrahancev, G.P.The iterative improvement of eigenvalues. (English. Russian original)
    U.S.S.R. Comput. Math. Math. Phys. 16(1976), No.1, 123-132 (1977).
35. Astrakhantsev G.P., Rukhovets L.A. Rate of convergence of the method of group over-relaxation for solving variational difference schemes for elliptic equations of order 2m in a two-dimensional region. (English. Russian original) U.S.S.R. Comput. Math. Math. Phys. 13(1973), No.6, 68-88
36. Astrahancev, G.P. Selection of relaxation parameter. (English. Russian original) Math. Notes 11, 338-340 (1972)
37. Astrahancev, G.P. The finite difference solution of the third boundary value problem for elliptic and parabolic equations in an arbitrary domain. Iterative solution of the difference equations. II. (English. Russian original) U.S.S.R. Comput. Math. Math. Phys. 11(1971), No.3, 168-182
38. Astrahancev, G.P. An iterative method of solving elliptic net problems. (English. Russian original) U.S.S.R. Comput. Math. Math. Phys. 11(1971), No.2, 171-182
39. Astrakhantsev, G.P. Sharply directed propagation of Love-type surface waves (Russian, English) Semin. Math., V. A. Steklov Math. Inst., Leningrad 9, 1-5 (1968); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklov 9, 5-14 (1968)

Research support:

• Grant Russian Foundation for Basic Research (RFBR) -№ 05-05-08018-офи_а
• RFBR РФФИ –№ 03-05-65392 (2003-2005)
• Grant Russian Foundation for Basic Research (RFBR)РФФИ - N 02-01-1214 (2002-2003)
• TACIS,TSPP/0302/0033 (2003-2004)
• RFBR РФФИ -N99-05-65305 (1999-2001)
• RFBR РФФИ –N99-06-80211 (1999-2001)
• RFBR TACIS, TSP 40/97 (1997-1999)
• RFBR РФФИ –N96-04-48960 (1996-1998)
• RFBR РФФИ -N96-01-00783 (1996-1998)
• RFBR РФФИ- N93-04-6960 (1993-1995)

Teaching experience:
Professor of Mathematics (1999) St.Petersburg State Marine Technical University; St. Petersburg State Technical University

Courses taught: Iterative solutions of large sparse linear systems

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