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 Errata 946 Some properties of the solutions of systems of ordinary differential equations by one-step methods of numerical integrationJ. V. Rakitskii 947 The convergence of some computational algorithms in the method of least squaresV. V. Ivanov 963 A priori estimates for difference equationsA. A. Samarskii 972 The nature of the solution of the transfer equation for a plane layerT. A. Germogenova 1001 A computational scheme for two-dimensional nonstationary problems of gas dynamics and calculation of the flow from a shock wave approaching a stationary stateS. K. Godunov, A. V. Zabrodin, G. P. Prokopov 1020 A numerical method of calculating the three-dimensional flow of a supersonic gas current around solidsK. I. Babenko, G. P. Voskresenskii 1051 Rolling waves in an inclined channelJ. P. Ivanilov 1061 A solitary wave on the surface of a turbulent liquidA. M. Ter-Krikorov 1077 Calculating gamma-radiation energy in a lattice system by the Monte-Carlo methodV. A. El'tekov, B. M. Terent'ev, D. I. Golenko 1089 Scientific communications A contribution to the problem of calculating the complex roots of a polynomial by Newton's methodYu. G. Reshetnyak 1097 Asymptotic expansions of cylindrical functions of two real variablesA. S. Yudina 1099 The method of straight lines for certain boundary-value problems of the parabolic typeB. M. Budak 1105 Derivation of a generalized solution of the Cauchy problem for a system of quasilinear equations with many variablesB. L. Rozhdestvenskii 1112 On the minimal order of error of integration of the equation $u_t+u_x=0$ by the method of finite differencesQin Meng-Zhao 1117 On the stability of difference schemes for a heat-conduction equation with variable coefficientsI. V. Fryazinov 1122 On the numerical calculation of discontinuous solutions of quasi-linear systemsV. F. Dyachenko 1127 The numerical solution of the second boundary-value problem for the unidimensional non-stationary filtration equationV. F. Baklanovskaya 1129 The trial potential method for determining the wave functions of a continuous spectrumG. F. Drukarev 1133 On an asymptotic relation in the theory of the slowing down of neutronsM. V. Maslennikov 1136 The stability of a plane-parallel flow of viscous liquid under the influence of constant tangential tension and inclined force gravityL. V. Lyubutskaya 1139 Scientific information Letter to editorial boardS. S. Lavrov 1144 Symposium on thenumerical treatment of ordinary differential equations integral and integro-differential equationsK. A. Semendyaev 1146 Bibliography 1147