iterative solution of large sparse linear systems and eigenproblems, numerical solution of partial equations, Finite element methods, multigrid methods, iterating substructuring methods, mathematical modelling, ecological modelling.
Iterative solution of large sparse linear systems and eigenproblems.
Numerical solution of partial equations.
Finite element methods.
Multigrid methods, iterating substructuring methods.
Mathematical modelling, ecological modelling.
Main publications:
Astrakhantsev G. P., “Raznostnye analogi potentsialov, metody fiktivnykh komponent i dekompozitsii”, Vestnik S.-Peterb. un-ta, 1:1 (1996), 3–8
Astrakhantsev G. P., “Ob odnom iteratsionnom metode resheniya setochnykh ellipticheskikh zadach”, ZhVM i MF, 11:2 (1971), 439–448
Astrakhantsev G. P., “Metod fiktivnykh oblastei dlya ellipticheskikh uravnenii vtorogo poryadka s estestvennymi granichnymi usloviyami”, ZhVM i MF, 18:1 (1978), 118–125
Astrakhantsev G. P., “Dvumernye kraevye zadachi s lokalnymi osobennostyami”, Ekonomiko-matematicheskie issledovaniya: matematicheskie modeli i informatsionnye tekhnologii. VI, Sbornik trudov Sankt-Peterburgskogo ekonomiko-matematicheskogo instituta RAN, Nestor-Istoriya, SPb, 2007, 265–279
G. P. Astrakhantsev, “Assimilative capacity estimate generation using models of great lakes’ ecosystems”, UBS, 55 (2015), 17–34
2003
2.
G. P. Astrakhantsev, “On the choice of almost-optimal parameters in algorithms of Arrow–Hurwicz type”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 1, 12–19; Russian Math. (Iz. VUZ), 47:1 (2003), 10–17
G. P. Astrakhantsev, “Analysis of algorithms of the Arrow–Hurwicz type”, Zh. Vychisl. Mat. Mat. Fiz., 41:1 (2001), 17–28; Comput. Math. Math. Phys., 41:1 (2001), 15–26
G. P. Astrakhantsev, “Domain decomposition method for the problem of bending heterogeneous plate”, Zh. Vychisl. Mat. Mat. Fiz., 38:10 (1998), 1758–1766; Comput. Math. Math. Phys., 38:10 (1998), 1686–1694
G. P. Astrakhantsev, “The decomposition method for solving elliptic problems in a three-dimensional domain”, Zh. Vychisl. Mat. Mat. Fiz., 36:10 (1996), 87–96; Comput. Math. Math. Phys., 36:10 (1996), 1393–1400
G. P. Astrakhantsev, N. B. Egorova, L. A. Rukhovets, “Numerical modeling of the year circulation of deap lakes”, Dokl. Akad. Nauk SSSR, 296:6 (1987), 1331–1334
1985
8.
G. P. Astrakhantsev, “Numerical solution of mixed boundary value problems for second-order elliptic equations in an arbitrary domain”, Zh. Vychisl. Mat. Mat. Fiz., 25:2 (1985), 200–209; U.S.S.R. Comput. Math. Math. Phys., 25:1 (1985), 129–135
1981
9.
G. P. Astrakhantsev, L. A. Rukhovets, “The method of relaxation on a sequence of meshes for elliptic equations with natural boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 21:4 (1981), 926–944; U.S.S.R. Comput. Math. Math. Phys., 21:4 (1981), 111–130
1978
10.
G. P. Astrakhantsev, “The method of fictitious domains for a second order elliptic equation with natural boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 18:1 (1978), 118–125; U.S.S.R. Comput. Math. Math. Phys., 18:1 (1978), 114–121
G. P. Astrakhantsev, “Methods for the approximate solution of the Dirichlet problem for the biharmonic equation”, Zh. Vychisl. Mat. Mat. Fiz., 17:4 (1977), 980–998; U.S.S.R. Comput. Math. Math. Phys., 17:4 (1977), 157–175
G. P. Astrakhantsev, L. A. Rukhovets, “The rate of convergence of the block SOR method of solution of variational-difference schemes for elliptic equations of order $2m$ in arbitrary two-dimensional domain”, Zh. Vychisl. Mat. Mat. Fiz., 13:6 (1973), 1425–1440; U.S.S.R. Comput. Math. Math. Phys., 13:6 (1973), 68–88
14.
G. P. Astrakhantsev, “Convergence of the SOR method of solution of variational-difference equations for elliptic equations in an arbitrary domain”, Zh. Vychisl. Mat. Mat. Fiz., 13:2 (1973), 483–488; U.S.S.R. Comput. Math. Math. Phys., 13:2 (1973), 273–281
1972
15.
G. P. Astrakhantsev, “Selection of relaxation parameter”, Mat. Zametki, 11:5 (1972), 555–558; Math. Notes, 11:5 (1972), 338–340
1971
16.
G. P. Astrakhantsev, “A finite difference method for solving the third boundary value problem for elliptic and parabolic equations in an arbitrary region. Iterative solution of finite difference equations. II”, Zh. Vychisl. Mat. Mat. Fiz., 11:3 (1971), 677–687; U.S.S.R. Comput. Math. Math. Phys., 11:3 (1971), 168–182
17.
G. P. Astrakhantsev, “A certain iterative method of solution of network elliptic problems”, Zh. Vychisl. Mat. Mat. Fiz., 11:2 (1971), 439–448; U.S.S.R. Comput. Math. Math. Phys., 11:2 (1971), 171–182
G. P. Astrakhantsev, “A finite difference method for solving the third boundary value problem for elliptic and parabolic equations in an arbitrary region. Iterative solution of finite difference equations. I”, Zh. Vychisl. Mat. Mat. Fiz., 11:1 (1971), 105–120; U.S.S.R. Comput. Math. Math. Phys., 11:1 (1971), 141–161
G. P. Astrakhantsev, “Sharply directed propagation of Love-type surface waves”, Zap. Nauchn. Sem. LOMI, 9 (1968), 5–14
2014
20.
V. B. Andreev, G. P. Astrakhantsev, V. P. Dymnikov, L. A. Rukhovets, B. N. Chetverushkin, “In memory of Leonard Amayakovich Oganesyan (1925–2013)”, Zh. Vychisl. Mat. Mat. Fiz., 54:5 (2014), 892–896
Contact us: