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 Bounds for elements of $LU$ factorizations of sparse matrices and their application to incomplete factorization methodsI. A. Blatov 259 A fast algorithm based on the arithmetic-geometric meanO. M. Dmitrieva, V. N. Malozemov 277 Reconstruction of extremal perturbations in parabolic equationsA. V. Kryazhimskiĭ, V. I. Maksimov, Yu. S. Osipov 291 Application of compact finite-difference schemes to the initial boundary value problem for a hyperbolic system of equationsI. F. Muzafarov, S. V. Utyuzhnikov 302 An approximate solution to nonlinear integral equations by the method of invariant imbeddingYu. S. Rasshcheplyaev, S. V. Sokolov 310 Calculation of the minimal embedding dimension of a chaotic attractor on the basis of local topological analysis of phase trajectoriesV. F. Daĭludenko, A. M. Krot 315 A family of approximate solutions to the MHD Riemann problem retaining the shock relationsN. V. Pogorelov, A. Yu. Semenov 325 Numerical methods for the two-dimensional model of propagation of laser radiation in a chemically active gas in well-developed thermal diffusionM. I. Kalinichenko, S. V. Polyakov 334 An iterative scheme for two-dimensional MHD equations with account for the Hall effectV. P. Zhukov 348 Solvability of the altimeter data assimilation problem in the quasi-geostrophic multilayer model of ocean circulationV. I. Agoshkov, V. M. Ipatova 355 A global existence and uniqueness theorem for the three-dimensional Broadwall modelA. Sh. Akishev 367 Grid approximation of a singularly perturbed Neumann problem for parabolic equations in the case of a discontinuous boundary functionG. I. Shishkin 378 Scientific information Computer program library 382 Yuriĭ Georgievich Dadaev (1937–1996) 383