F. P. Vasil'ev, L. A. Artem'eva, “Regularized Extragradient Method of Finding a Solution to an Optimal Control Problem with Inaccurately Specified Input Data”, Trudy Mat. Inst. Steklova, 304 (2019), 137–148; Proc. Steklov Inst. Math., 304 (2019), 124–135
2018
2.
F. P. Vasil'ev, M. M. Potapov, L. A. Artem'eva, “Extragradient method for correction of inconsistent linear programming problems”, Zh. Vychisl. Mat. Mat. Fiz., 58:12 (2018), 1992–1998; Comput. Math. Math. Phys., 58:12 (2018), 1919–1925
A. S. Antipin, L. A. Artem'eva, F. P. Vasil'ev, “Extragradient method for solving an optimal control problem with implicitly specified boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 57:1 (2017), 49–54; Comput. Math. Math. Phys., 57:1 (2017), 64–70
F. P. Vasil'ev, A. S. Antipin, L. A. Artem'eva, “Extragradient method for finding a saddle point in a multicriteria problem with dynamics”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016), 71–78; Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 203–210
2012
5.
F. P. Vasil'ev, A. S. Antipin, L. A. Artem'eva, “A regularized differential extraproximal method for finding an equilibrium in two-person saddle-point games”, Num. Meth. Prog., 13:1 (2012), 149–160
6.
A. S. Antipin, L. A. Artem'eva, F. P. Vasil'ev, “Regularized extraproximal method for finding equilibrium points in two-person saddle-point games”, Zh. Vychisl. Mat. Mat. Fiz., 52:7 (2012), 1231–1241; Comput. Math. Math. Phys., 52:7 (2012), 1007–1016
2011
7.
F. P. Vasil'ev, E. V. Khoroshilova, A. S. Antipin, “Regularized extragradient method for finding a saddle point in an optimal control problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 17:1 (2011), 27–37; Proc. Steklov Inst. Math. (Suppl.), 275, suppl. 1 (2011), S186–S196
A. S. Antipin, L. A. Artem'eva, F. P. Vasil'ev, “Extraproximal method for solving two-person saddle-point games”, Zh. Vychisl. Mat. Mat. Fiz., 51:9 (2011), 1576–1587; Comput. Math. Math. Phys., 51:9 (2011), 1472–1482
A. S. Antipin, L. A. Artem'eva, F. P. Vasil'ev, “Regularized extragradient method for solving parametric multicriteria equilibrium programming problem”, Zh. Vychisl. Mat. Mat. Fiz., 50:12 (2010), 2083–2098; Comput. Math. Math. Phys., 50:12 (2010), 1975–1989
A. S. Antipin, L. A. Artem'eva, F. P. Vasil'ev, “Multicriteria equilibrium programming: the extragradient method”, Zh. Vychisl. Mat. Mat. Fiz., 50:2 (2010), 234–241; Comput. Math. Math. Phys., 50:2 (2010), 224–230
A. S. Antipin, F. P. Vasil'ev, A. S. Stukalov, “A regularized Newton method for solving equilibrium programming problems with an inexactly specified set”, Zh. Vychisl. Mat. Mat. Fiz., 47:1 (2007), 21–33; Comput. Math. Math. Phys., 47:1 (2007), 19–31
F. P. Vasil'ev, A. S. Antipin, “Methods for solving unstable equilibrium programming problems with coupled variables”, Trudy Inst. Mat. i Mekh. UrO RAN, 12:1 (2006), 48–63; Proc. Steklov Inst. Math. (Suppl.), 253, suppl. 1 (2006), S229–S246
A. S. Antipin, B. A. Budak, F. P. Vasil'ev, “Methods for solving equilibrium programming problems”, Differ. Uravn., 41:1 (2005), 3–11; Differ. Equ., 41:1 (2005), 1–9
A. S. Antipin, F. P. Vasil'ev, A. Delavarkhalafi, “Regularization methods with penalty functions for finding nash equilibria in a bilinear nonzero-sum two-person game”, Zh. Vychisl. Mat. Mat. Fiz., 45:5 (2005), 813–823; Comput. Math. Math. Phys., 45:5 (2005), 783–793
A. S. Antipin, F. P. Vasil'ev, S. V. Shpirko, “A regularized extragradient method for solving equilibrium programming problems with an inexactly specified set”, Zh. Vychisl. Mat. Mat. Fiz., 45:4 (2005), 650–660; Comput. Math. Math. Phys., 45:4 (2005), 626–636
F. P. Vasil'ev, A. S. Stukalov, “Approximation of an equilibrium problem with respect to the argument”, Zh. Vychisl. Mat. Mat. Fiz., 44:11 (2004), 1972–1982; Comput. Math. Math. Phys., 44:11 (2004), 1875–1884
F. P. Vasil'ev, A. S. Stukalov, “Conditions for the approximation of equilibrium problems from the value of a functional”, Zh. Vychisl. Mat. Mat. Fiz., 44:7 (2004), 1196–1208; Comput. Math. Math. Phys., 44:7 (2004), 1132–1144
A. S. Antipin, F. P. Vasil'ev, “Regularized prediction method for solving variational inequalities with an inexactly given set”, Zh. Vychisl. Mat. Mat. Fiz., 44:5 (2004), 796–804; Comput. Math. Math. Phys., 44:5 (2004), 750–758
A. S. Antipin, F. P. Vasil'ev, S. V. Shpirko, “A regularized extra-gradient method for solving the equilibrium programming problems”, Zh. Vychisl. Mat. Mat. Fiz., 43:10 (2003), 1451–1458; Comput. Math. Math. Phys., 43:10 (2003), 1391–1393
A. S. Antipin, B. A. Budak, F. P. Vasil'ev, “A Regularized Continuous Extragradient Method of the First Order with a Variable Metric for Problems of Equilibrium Programming”, Differ. Uravn., 38:12 (2002), 1587–1595; Differ. Equ., 38:12 (2002), 1683–1693
A. S. Antipin, F. P. Vasil'ev, “A regularized extragradient method for solving variational inequalities”, Num. Meth. Prog., 3:1 (2002), 237–244
24.
A. S. Antipin, B. A. Budak, F. P. Vasil'ev, “A regularized first-order continuous extragradient method with variable
metric for solving the problems of equilibrium programming with an inexact set”, Num. Meth. Prog., 3:1 (2002), 211–221
25.
A. S. Antipin, F. P. Vasil'ev, “Regularization methods, based on the extension of a set, for solving an equilibrium programming problem with inexact input data”, Zh. Vychisl. Mat. Mat. Fiz., 42:8 (2002), 1158–1165; Comput. Math. Math. Phys., 42:8 (2002), 1115–1122
F. P. Vasil'ev, “Regularization methods with set extension for solving unstable problems of minimization”, Num. Meth. Prog., 2:1 (2001), 123–130
27.
F. P. Vasil'ev, “Regularization methods for solving unstable minimization problems of the first kind with an inaccurately given set”, Zh. Vychisl. Mat. Mat. Fiz., 41:2 (2001), 217–224; Comput. Math. Math. Phys., 41:2 (2001), 197–204
A. S. Antipin, F. P. Vasil'ev, “A residual method for equilibrium problems with an inexcactly specified set”, Zh. Vychisl. Mat. Mat. Fiz., 41:1 (2001), 3–8; Comput. Math. Math. Phys., 41:1 (2001), 1–6
A. S. Antipin, F. P. Vasil'ev, “A stabilization method for equilibrium programming problems with an approximately given set”, Zh. Vychisl. Mat. Mat. Fiz., 39:11 (1999), 1779–1786; Comput. Math. Math. Phys., 39:11 (1999), 1707–1714
F. P. Vasil'ev, A. Yu. Ivanitskii, V. A. Morozov, “Pointwise residual method as applied to some problems of linear algebra and linear programming”, Zh. Vychisl. Mat. Mat. Fiz., 38:7 (1998), 1140–1152; Comput. Math. Math. Phys., 38:7 (1998), 1090–1102
S. M. Aliakbarov, F. P. Vasil'ev, È. M. Muhamadiev, “Justification of the dynamic programming method as applied to standardization-type problems”, Zh. Vychisl. Mat. Mat. Fiz., 38:5 (1998), 740–748; Comput. Math. Math. Phys., 38:5 (1998), 711–718
T. V. Amochkina, A. S. Antipin, F. P. Vasil'ev, “Continuous linearization method with a variable metric for problems in convex programming”, Zh. Vychisl. Mat. Mat. Fiz., 37:12 (1997), 1459–1466; Comput. Math. Math. Phys., 37:12 (1997), 1415–1421
F. P. Vasil'ev, “On duality in linear problems of control and observation”, Differ. Uravn., 31:11 (1995), 1893–1900; Differ. Equ., 31:11 (1995), 1861–1868
F. P. Vasil'ev, A. Nedić, M. Jaćimović, “A third-order regularized continuous method of linearization”, Differ. Uravn., 31:10 (1995), 1622–1627; Differ. Equ., 31:10 (1995), 1582–1588
A. S. Antipin, F. P. Vasil'ev, “On a continuous minimization method in spaces with a variable metric”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 12, 3–9; Russian Math. (Iz. VUZ), 39:12 (1995), 1–6
S. M. Aliakbarov, F. P. Vasil'ev, È. M. Muhamadiev, “The existence and stability of solutions of extremal standardization problems”, Zh. Vychisl. Mat. Mat. Fiz., 35:3 (1995), 323–333; Comput. Math. Math. Phys., 35:3 (1995), 259–266
F. P. Vasil'ev, A. Nedič, “A version of the regularized gradient projection method”, Zh. Vychisl. Mat. Mat. Fiz., 34:4 (1994), 511–519; Comput. Math. Math. Phys., 34:4 (1994), 431–439
S. M. Aliakbarov, F. P. Vasil'ev, “Dynamic programming method for a standardization problem with a piecewise-linear objective function”, Zh. Vychisl. Mat. Mat. Fiz., 31:12 (1991), 1772–1782; U.S.S.R. Comput. Math. Math. Phys., 31:12 (1991), 7–15
S. M. Aliakbarov, F. P. Vasil'ev, “Regularization of unstable two-level problems of the standardization type”, Zh. Vychisl. Mat. Mat. Fiz., 31:3 (1991), 363–371; U.S.S.R. Comput. Math. Math. Phys., 31:3 (1991), 19–25
F. P. Vasil'ev, A. Yu. Ivanitskii, V. A. Morozov, “An estimate of the rate of convergence of the discrepancy method for a linear programming problem with approximate data”, Zh. Vychisl. Mat. Mat. Fiz., 30:8 (1990), 1257–1262; U.S.S.R. Comput. Math. Math. Phys., 30:4 (1990), 204–208
F. P. Vasil'ev, V. V. Morozov, M. Jaćimović, “Estimate of the rate of convergence of the regularization method for solving the linear programming problem”, Zh. Vychisl. Mat. Mat. Fiz., 29:4 (1989), 631–635; U.S.S.R. Comput. Math. Math. Phys., 29:2 (1989), 216–219
F. P. Vasil'ev, “An estimate for the rate of convergence of A. N. Tikhonov's
regularization method for nonstable minimization problems”, Dokl. Akad. Nauk SSSR, 299:4 (1988), 792–796; Dokl. Math., 37:2 (1988), 452–455
F. P. Vasil'ev, “Regularization of unstable problems of minimization”, Trudy Mat. Inst. Steklov., 185 (1988), 60–65; Proc. Steklov Inst. Math., 185 (1990), 65–71
F. P. Vasil'ev, B. G. Kaganov, D. P. Kostomarov, V. I. Kukulin, “Application of the penalty function method for solving multiparticle quantum mechanics problems”, Zh. Vychisl. Mat. Mat. Fiz., 28:10 (1988), 1520–1529; U.S.S.R. Comput. Math. Math. Phys., 28:5 (1988), 155–162
F. P. Vasil'ev, “The use of unsmooth penalty functions in the regularization of unstable minimization problems”, Zh. Vychisl. Mat. Mat. Fiz., 27:10 (1987), 1443–1450; U.S.S.R. Comput. Math. Math. Phys., 27:5 (1987), 106–111
F. P. Vasil'ev, M. D. Jaćimović, “On iterative regularization of the conditional gradient method and Newton’s method for imprecisely assigned initial data”, Dokl. Akad. Nauk SSSR, 250:2 (1980), 265–269
F. P. Vasil'ev, “Regularization of ill-posed problems of minimization in approximately specified sets”, Zh. Vychisl. Mat. Mat. Fiz., 20:1 (1980), 38–50; U.S.S.R. Comput. Math. Math. Phys., 20:1 (1980), 41–53
F. P. Vasil'ev, “On search methods for the optimum time in dynamic pursuit-evasion games with programmed control”, Dokl. Akad. Nauk SSSR, 246:4 (1979), 788–791
F. P. Vasil'ev, M. A. Vorontsov, O. A. Litvinova, “On the optimal control of the process of thermal blooming”, Zh. Vychisl. Mat. Mat. Fiz., 19:4 (1979), 1053–1058; U.S.S.R. Comput. Math. Math. Phys., 19:4 (1979), 272–278
F. P. Vasil'ev, R. P. Ivanov, “On approximate solution of the time-optimal problem in Banach spaces with constraints on the phase coordinates”, Zh. Vychisl. Mat. Mat. Fiz., 11:2 (1971), 328–347; U.S.S.R. Comput. Math. Math. Phys., 11:2 (1971), 45–67
F. P. Vasil'ev, R. P. Ivanov, “Certain approximate methods of solving time-optimal problems in Banach spaces in the presence of phase constraints”, Dokl. Akad. Nauk SSSR, 195:3 (1970), 526–529
F. P. Vasil'ev, R. P. Ivanov, “The approximate solution of the time-optimal problem with lag”, Zh. Vychisl. Mat. Mat. Fiz., 10:5 (1970), 1124–1140; U.S.S.R. Comput. Math. Math. Phys., 10:5 (1970), 74–94
F. P. Vasil'ev, “Conditions for the existence of a saddle point in determinate integro-differential games with lag in the presence of parameters”, Zh. Vychisl. Mat. Mat. Fiz., 10:1 (1970), 15–25; U.S.S.R. Comput. Math. Math. Phys., 10:1 (1970), 17–30
F. P. Vasil'ev, “Optimality conditions for certain classes of systems which are not solved with respect to the derivative”, Dokl. Akad. Nauk SSSR, 184:6 (1969), 1267–1270
F. P. Vasil'ev, “The method of straight lines for the solution of a one-phase problem of the Stefan type”, Zh. Vychisl. Mat. Mat. Fiz., 8:1 (1968), 64–78; U.S.S.R. Comput. Math. Math. Phys., 8:1 (1968), 81–101
F. P. Vasil'ev, “A difference method of solving problems of Stefan type for a quasi-linear parabolic equation with discontinuous coefficients”, Dokl. Akad. Nauk SSSR, 157:6 (1964), 1280–1283
F. P. Vasil'ev, A. B. Uspenskii, “The finite-difference method for solving a two-phase Stefan problem for a quasi-linear equation”, Dokl. Akad. Nauk SSSR, 152:5 (1963), 1034–1037
F. P. Vasil'ev, “The method of finite differences for solving a one-phase Stefan problem for a quasi-linear equation”, Dokl. Akad. Nauk SSSR, 152:4 (1963), 783–786
F. P. Vasil'ev, A. B. Uspenskii, “A difference method for the solution of the two-phase Stefan problem”, Zh. Vychisl. Mat. Mat. Fiz., 3:5 (1963), 874–886; U.S.S.R. Comput. Math. Math. Phys., 3:5 (1963), 1192–1208
A. V. Arutyunov, Yu. N. Bibikov, F. P. Vasil'ev, I. V. Gaishun, S. V. Emel'yanov, V. A. Il'in, I. T. Kiguradze, S. K. Korovin, L. D. Kudryavtsev, A. B. Kurzhanskii, S. A. Mazanik, E. K. Makarov, A. A. Martynyuk, E. F. Mishchenko, E. I. Moiseev, Yu. S. Osipov, V. A. Pliss, N. Kh. Rozov, V. A. Sadovnichy, A. M. Samoilenko, T. K. Shemjakina, “Nikolai Alekseevich Izobov (A tribute in honor of his 70th birthday)”, Differ. Uravn., 46:1 (2010), 3–8; Differ. Equ., 46:1 (2010), 1–7