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1988, Volume 24, Number 7  


Numerical methods
Direct numerical modeling of the Blasius problem
I. V. Abalakin, L. W. Dorodnicyn, T. G. Elizarova
1107
Application of difference schemes on Dirichlet cells for solving problems of heat-mass exchange with phase transitions
Yu. V. Apanovich, E. D. Lyumkis
1113
Numerical analytic preparation for a generalization of a method of representations
V. F. Apel'tsin, S. A. Yakovleva
1121
Approximate group analysis of the nonlinear equation $u_{tt}-(f(u)u_x)_x+\varepsilon\varphi(u)u_t=0$
V. A. Baikov, R. K. Gazizov, N. H. Ibragimov
1127
Construction of completely conservative difference schemes of magnetohydrodynamics in mixed Euler–Lagrange variables by means of the projection method
A. Ya. Boyko
1138
A numerical algorithm for systems of inhomogeneous equations in mathematical physics
M. V. Bochkov
1150
Forward calculation difference schemes for some problems in mathematical physics
P. N. Vabishchevich
1161
An integro-iterative method for solving fundamental boundary value problems in mathematical physics
P. N. Vabishchevich, S. I. Pulatov
1166
An iterative method for solving an elliptic problem with a free boundary
V. V. Drozdov, S. A. Galkin
1171
Some solutions of a system of equations of quasi-gas-dynamics type
V. A. Gasilov, V. I. Maslyankin, I. P. Simonovich
1176
Dissipative structures in a model reaction of the oxidation of carbon monoxide
G. G. Yelenin, T. M. Lysak
1186
A difference method for solving a problem on the steady-state propagation of a light beam in a chemically active gas medium
I. G. Zakharova, Yu. N. Karamzin, V. A. Trofimov
1192
A stochastic algorithm for solving the Boltzmann equation in semiconductor theory
O. I. Zvarova, A. V. Lukshin
1196
A difference scheme for the Goursat problem with boundary functions in $L_2$
N. Yu. Kapustin
1204
A cyclic variant of the $\alpha$-$\beta$-iterative algorithm
S. V. Klevtsur, K. S. Latyshev, B. N. Chetverushkin
1213
A locally one-dimensional scheme for a non-steady-state problem of heat conduction with radiation on the boundary
G. N. Kuraev
1218
Countable spectrum of the eigenfunctions of the nonlinear heat equation with distributed parameters
L. A. Lepin
1226
A trajectory method for solving systems of transcendental equations
A. M. Lipanov
1234
Accuracy of a difference scheme for a spectral problem with discontinuous coefficients
V. G. Prikazchikov, A. R. Semchuk
1244
A difference scheme for the method of “Dirichlet particles” in cylindrical coordinates that preserves the symmetry of gas-dynamic flows
A. V. Solov'ev, M. Yu. Shashkov
1249
A difference scheme of second order of accuracy for equations of gas dynamics for the compatible approximation of convective flows
S. I. Tkachenko
1258

Short Communications
Dynamics of a system with nonlinear growth of the reproduction of “prey”
R. Gulamov
1263
Transversality conditions for the stochastic maximum principle
N. G. Dokuchaev
1266
An example of the solution of a simplified system of A. A. Vlasov equations
N. I. Kozlov, M. B. Markov, S. B. Semenov
1269
A third-order quasilinear partial differential equation
G. I. Laptev
1270
On the bounds for the application of the small parameter methods to the case of a single root of the amplitude equation
N. P. Morozov
1273
Properties of the solution of a nonlinear variational problem
S. G. Osipov, V. V. Ternovskii, M. M. Khapaev
1274
Periodic solutions of partial differential equations with small parameters
M. A. Petrova, I. A. Shishmarev
1276
The regularization method for hyperbolic systems with fast and slow variables
V. I. Prokhorenko
1278
Controllability of a class of linear nonstationary completely integrable Pfaff systems
O. V. Khramtsov
1281
 
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