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 The use of unsmooth penalty functions in the regularization of unstable minimization problemsF. P. Vasil'ev 1443 On the choice of parameters in the method of penalty functionsV. A. Bereznev, V. G. Karmanov, A. A. Tret'yakov 1451 Modification of the extra-gradient method for solving variational inequalities and certain optimization problemsE. N. Khobotov 1462 A numerical method for multistage optimization problems with stepwise calculation of the directions of the descentA. M. Valuev 1474 Error estimate for an approximate solution of certain singular ordinary differential equationsK. Balla 1489 Some properties of methods for the numerical integration of systems of the form $\ddot x=f(x)$Yu. B. Suris 1504 A method of linearizing the inverse problem for the wave equationI. P. Borovikov, Yu. L. Gaponenko 1516 On the analysis of a difference scheme for the Laplace equation in a singularly perturbed domainV. B. Andreev 1527 Convergence of the net method for third-order nonlinear partial differential equationsI. O. Akhverdiev, V. F. Baklanovskaya, S. A. Dzhangirova 1536 The principles of radiation, limit absorption and limit amplitude in problems of the diffraction of waves by one-dimensional periodic gratingsYu. K. Sirenko, V. P. Shestopalov 1555 A numerical method for calculating gas flows in channels and nozzles in the direct, inverse and combined formulationsI. L. Osipov, A. V. Shipilin, N. P. Shulishnina 1563 Scientific communications Reconstruction of a tridiagonal matrixI. V. Koshcheeva, Yu. I. Kuznetsov 1573 Monte Carlo estimation of integrals occurring in the nonlinear theory of gravitational instabilityA. G. Doroshkevich, I. M. Sobol' 1577 Numerical solution of a problem of pressurized filtration under a hydraulic engineering structureP. N. Vabishchevich, R. V. Gassiev 1580 On the problem of the existence of a complete axiomatic program semantics that does not admit side effectsI. A. Lomazova 1585 On gravitational gyroscopic waves in a semi-bounded channelS. T. Simakov 1589 Scientific information Cesari L. Optimization – theory and applications. Problems with ordinary differential equations. N. Y. etc.: Springer, 1983. XIV+542p. (Book review)M. K. Kerimov 1594 Bifurcation: analysis, algorithms, applications. Ed. Êupper Ò., Seódel R., Troger H. Basel: Birkhäuser Verlag, 1987. VIII+359p. (Book review)S. L. Skorokhodov 1595