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 Science People Ol'ga Arsen'evna Oleǐnik (on the occasion of her seventieth birthday)V. A. Il'in, L. D. Kudryavtsev, Yu. S. Osipov, S. I. Pokhozhaev 1107 Partial Differential Equations Uniqueness and stability of generalized solutions of quasi-averaged equations of the one-dimensional motion of a viscous barotropic mediumA. A. Amosov, A. A. Zlotnik 1123 Abstract evolution differential equations with discontinuous operator coefficientsF. E. Lomovtsev 1132 The method of differential inequalities for some classes of nonlinear singularly perturbed problems with internal layersN. N. Nefedov 1142 On an averaging problem in a partially punctured domain with a boundary condition of mixed type on the boundary of the holes, containing a small parameterO. A. Oleinik, T. A. Shaposhnikova 1150 Numerical methods On the combination of the alternating direction method and the finite element method for the solution of problems in mathematical physics. IV. N. Abrashin, S. N. Lehtikov 1161 On the accuracy of a quasipoint contact problem on regular triangular gridsI. G. Beluhina 1170 On the construction of methods for the numerical solution of systems of ordinary differential equationsV. V. Bobkov 1174 Difference schemes on locally condensing gridsP. N. Vabishchevich, G. I. Shishkin 1179 Numerical modeling and some other analytic aspects of the vortex dynamics of light fields in laser systemsV. M. Volkov, V. I. Kruglov 1184 On the numerical solution of a system of Maxwell equations on unstructured difference gridsV. A. Gasilov, O. G. Olkhovskaya 1193 A numerical method for solving an irreversible problem of heat conductionG. F. Gromyko 1198 A scheme of accuracy $O(h^2\ln^\alpha(1/h))$ for determining the free boundary in a problem with an obstacle inside the domainR. Z. Dautov 1202 Efficient iterative algorithms for solving nonlinear multidimensional problems in mathematical physics. IIA. A. Egorov 1211 On a domain decomposition method in nonstationary problems of mathematical physicsN. G. Zhadaeva 1217 The Bubnov-Galerkin method for an abstract quasilinear problem on steady-state motionS. E. Zhelezovsky 1222 The maximum principle for a nonlocal nonselfadjoint boundary value problemN. I. Ionkin, E. A. Valikova 1232 Vector additive difference schemes of complete approximation for multidimensional problems in mathematical physicsS. L. Lapko 1240 Consistent estimates for rate of convergence of the grid method for a second-order nonlinear equation with generalized solutionsP. P. Matus, M. N. Moskal'kov, V. S. Shchehlik 1249 A criterion for the asymptotic stability of symmetrizable difference schemesA. A. Samarskii, A. V. Gulin 1257 Generalization of the Wittrick–Williams method to nonlinear spectral problems with a multiple spectrumL. F. Yukhno 1261 Short Communications On an optimal domain with respect to $(x,t)$ for a parabolic-type equationA. V. Kagal, V. M. Filippov 1265 Chronicle “Åðóãèíñêèå ÷òåíèÿ – II” (11 – 13 ìàÿ 1995 ã.)I. V. Gaishun, N. A. Izobov, I. P. Martynov, A. P. Sadovskii 1267