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101. http://num-meth.srcc.msu.ru/english/zhurnal/tom_2001/ps/art1_1.ps
... 2 1 UDC 519.632.4 A ROBUST MILTIGRID TECHNIQUE FOR SOLVING SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS S. I. Martynenko 1 A robust multigrid technique is used for solving systems of partial differential equations. ... The following program performs iterations in the decoupled manner and checks the convergence: C C Classical Decoupled Algorithm C k = 0 Starting guesses: C (0) u , C (0) v and C (0) z 1 k = k + 1 AC (k) u = J (k) u \Gamma flC (k\Gamma1) v \Gamma flC (k\Gamma1) z ! ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2001/ps/art1_1.ps -- 794.9 Кб -- 16.12.2002
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102. http://num-meth.srcc.msu.ru/english/zhurnal/tom_2001/ps/art1_6.ps
Numerical Methods and Programming, 2001, Vol. ... Assumption 2.4. sup ff2(0;ff 0 ] sup Ц2\Gamma ff jЦj ! ... 2 For the third term in (4.14) we have the estimate k i \ Theta \ Gamma F 0 (x \ Lambda ); ff n \ Delta F 0 (x \ Lambda ) \ Gamma \ Theta \ Gamma F 0 (xn ); ff n \ Delta F 0 (xn ) j F 0 (x \ Lambda ) p vkX 6 k i \ Theta \ Gamma F 0 (x \ Lambda ); ff n \ Delta F 0 (x \ Lambda ) \ Gamma \ Theta \ Gamma F 0 (x n ); ff n \ Delta F 0 (x n ) j F 0 (x \ Lambda ) m (F 0 (x \ ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2001/ps/art1_6.ps -- 333.3 Кб -- 16.12.2002
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103. "Some features of solving the problems of mapping for allocation of chemical
Some features of solving the problems of mapping for allocation of chemical elements on stellar surfaces as ill-posed problems with the use of multiprocessor systems" . ... The problem of mapping for allocation of chemical elements on stellar surfaces is considered as an ill-posed one. ... An approach to numerical solution of the minimization problem is considered for the above mapping problem. A multiprocessor computer is used to solve several model problems numerically. ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2002/art1_1.html -- 3.2 Кб -- 13.02.2007
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104. "Classical and weak solutions of the two-phase boundary inverse Stefan problem"
Classical and weak solutions of the two-phase boundary inverse Stefan problem" . ... Two approaches to formulation of the quasilinear two-phase inverse Stefan problem on determining an unknown boundary regime with the Cauchy data on the other boundary of the domain are considered. According to these approaches, the concepts of an exact solution in the H classes and a weak exact solution are introduced. ... PostScript (in Russian) (248KB) . PDF (in Russian) (212йB) . ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2002/art1_10.html -- 2.6 Кб -- 12.02.2007
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105. "Monte Carlo statistical simulation of translational nonequilibrium of a gas
Monte Carlo statistical simulation of translational nonequilibrium of a gas mixture in the shock front with the use of multiprocessor computers" . ... Two approaches to parallel computations using Monte Carlo nonstationary statistical simulation are described. ... Both of them are applied to the problem of shock wave. ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2002/art1_11.html -- 3.0 Кб -- 16.12.2002
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106. "A quasi-3D model of a polymer electrolyte fuel cell"
A quasi-3D model of a polymer electrolyte fuel cell" . A.A. Kulikovsky . A quasi--3D model of a polymer electrolyte fuel cell is described. The model includes equations for the gas transport in feed channels and in porous layers, current conservation equations and Butler--Volmer expressions for the rates of electrochemical reactions. The model resolves catalyst layers and gives maps of parameters in a cross section of a cell equipped with long meander channels on both sides. ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2002/art1_12.html -- 2.8 Кб -- 12.02.2007
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107. "Solvability of the generalized Dirichlet problem for hyperbolic equations"
Solvability of the generalized Dirichlet problem for hyperbolic equations" . I.V. Kolos and M.V. Kolos . A priory inequalities with a negative norm are obtained for hyperbolic differential equations with Dirichlet boundary conditions for the case when the right-hand sides belong to a space of generalized functions. ... PostScript (in Russian) (194KB) . PDF (in Russian) (164KB) . ... I.V. Kolos e-mail: rektorat@urao.edu . M.V. Kolos e-mail: arush@srcc.msu.ru ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2002/art1_13.html -- 2.6 Кб -- 12.02.2007
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108. "Fourier and wavelet transforms. Properties and applications"
Fourier and wavelet transforms. Properties and applications" . L.G. Vasil'eva, Ya.M. Zhileikin, and Yu.I. Osipik . A brief survey of merits and demerits of Fourier and wavelet transforms is given. Some properties of wavelet transforms and wavelet series are discussed. ... PostScript (in Russian) (90.3KB) . PDF (in Russian) (113KB) . PostScript. zip (in Russian) (30.9йB) . PDF. zip (in Russian) (41.1KB) . ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2002/art1_14.html -- 2.4 Кб -- 12.02.2007
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109. "Optimization of numerical integration methods for shell models"
Optimization of numerical integration methods for shell models" . ... We propose an algorithm devised to increase time steps for integrating a system of ordinary differential equations with a linear viscosity term. A special realization of this algorithm is considered for the classical fourth-order Runge-Kutta method. The efficiency of our approach is demonstrated by an example of shell models of turbulence. ... PostScript (in Russian) (114KB) . PDF (in Russian) (120KB) . ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2002/art1_15.html -- 2.5 Кб -- 16.12.2002
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110. "A class of stable iterative methods for solving nonlinear ill-posed operator
A class of stable iterative methods for solving nonlinear ill-posed operator equations" . ... We justify a general scheme for constructing iterative methods intended to solve nonlinear ill-posed operator equations. Some known methods as well as new ones can be generated on the basis of this scheme. It is proved that the methods we propose are stable with respect to perturbations in input data. ... PostScript (in Russian) (156KB) . PDF (in Russian) (148KB) . ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2002/art1_16.html -- 2.6 Кб -- 16.12.2002
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111. "Mathematical simulation of brittle fracture for thin-walled solids"
Mathematical simulation of brittle fracture for thin-walled solids" . ... A model of brittle materials is proposed. The model allows one to describe the processes of initiation and growth of cracks in thin-walled constructions up to their fracture. ... The dynamic deformation and fracture of a plate by a concentrated mass with different initial velocities are studied. ... PostScript (in Russian) (1.73MB) . PDF (in Russian) (1.08MB) . ... S.N. Korobeinikov e-mail: korob@hydro.nsc.ru , . ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2002/art1_17.html -- 3.5 Кб -- 16.12.2002
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112. "A regularized first-order continuous extragradient method with variable metric
A regularized first-order continuous extragradient method with variable metric for solving the problems of equilibrium programming with an inexact set" . ... A regularized continuous variant of the gradient projection method with prediction in combination with the penalty function method in a space of variable metric is proposed for solving the problems of equilibrium programming. The convergence of a trajectory started at an arbitrary initial point to the normal solution of the problem is proved. ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2002/art1_18.html -- 2.9 Кб -- 12.02.2007
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113. "Shock waves in real gases with different specific heat ratios ahead of and
Shock waves in real gases with different specific heat ratios ahead of and behind shock fronts" . ... A physicomathematical model of shock waves in real gases with different specific heat ratios ahead of and behind shock fronts is considered in the approximation of an infinitely thin discontinuity. Several jump relations for gas- and thermodynamic parameters are obtained; when the specific heat ratios are constant, these relations become the well-known classical relations of gas dynamics. ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2002/art1_19.html -- 2.8 Кб -- 16.12.2002
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114. "A survey of algorithms for constructing a Delaunay triangulation"
A survey of algorithms for constructing a Delaunay triangulation" . A.V. Skvortsov . A large number of widely used algorithms for constructing a Delaunay triangulation are considered. ... Several procedures for checking the Delaunay condition and for the triangulation merging are described. PostScript (in Russian) (1734KB) . PDF (in Russian) (585йB) . PostScript. zip (in Russian) (434йB) . PDF. zip (in Russian) (372йB) . A.V. Skvortsov e-mail: skv@csd.tsu.ru ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2002/art1_2.html -- 2.6 Кб -- 16.12.2002
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115. "A regularized extragradient method for solving variational inequalities"
A regularized extragradient method for solving variational inequalities" . A.S. Antipin, F.P. Vasilyev . A regularized variant of the extragradient method is proposed for solving variational inequalities with inexact operators. A regularizing operator is constructed. Applications of this method to optimization problems, saddle-point problems, and equilibrium programming are briefly discussed. PostScript (in Russian) (172KB) . ... A.S. Antipin e-mail: antipin@ccas.ru , . ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2002/art1_20.html -- 2.6 Кб -- 12.02.2007
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116. "Iterative processes for nonlinear ill-posed operator equations in Banach
Iterative processes for nonlinear ill-posed operator equations in Banach spaces on the basis of finite-dimensional regularization of the Newton-Kantorovich method" . ... A general approach to constructing iterative processes for nonlinear ill-posed operator equations in Banach spaces is proposed. This approach is based on the linearization of the original equation followed by the regularization with the use of the finite-dimensional Petrov-Galerkin approximation. ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2002/art1_3.html -- 2.7 Кб -- 16.12.2002
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117. "Numerical integration of ordinary differential equations with the use of
Numerical integration of ordinary differential equations with the use of Chebyshev's series" . ... We consider numerical analytical methods of approximate solving Cauchy problems for systems of ordinary differential equations of first and second orders. These methods are based on the expansions of the solution and its derivative into shifted Chebyshev's series at each integration step by Chebyshev's polynomial of the first kind. ... An iterative process of their solution is described. ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2002/art1_4.html -- 3.3 Кб -- 12.02.2007
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118. "Algorithms for constructing triangulations with constraints"
... A.V. Skvortsov . We consider the problem of constructing triangulations with constraints and discuss a number of the corresponding algorithms. The problem of computing stability of these algorithms is studied. A stable modification of the algorithm for constructing a Delaunay triangulation with constraints is proposed. PostScript (in Russian) (571KB) . PDF (in Russian) (238йB) . PostScript. zip (in Russian) (135йB) . PDF. zip (in Russian) (132йB) . ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2002/art1_5.html -- 2.4 Кб -- 16.12.2002
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119. "Necessary conditions for the power convergence rate of a class of iterative
Necessary conditions for the power convergence rate of a class of iterative processes for nonlinear ill-posed operator equations in Banach spaces" . ... We study the rate of convergence of a class of iterative methods for solving nonlinear ill-posed equations with operators possessing sectorial derivatives. ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2002/art1_6.html -- 2.7 Кб -- 16.12.2002
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120. "Data preparation, treatment and visualization for constructing holograms with
Data preparation, treatment and visualization for constructing holograms with the electron-beam installation ZBA-21" . ... A program package was developed for the design and construction of computer-generated holograms with the aid of the technology based on electron-beam lithography (the installation ZBA-21 was used). ... The package is used at the Research Computing Center of Moscow State University to design computer-generated holograms. PostScript (in Russian) (214MB) . ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2002/art1_7.html -- 2.8 Кб -- 16.12.2002
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