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41. A variable structure algorithm using the (3,2)-scheme and the Fehlberg method
... A variable structure algorithm using the (3,2)-scheme and the Fehlberg method" . ... Its main and intermediate numerical schemes are L -stable. ... A stability control inequality for the explicit three-stage Runge-Kutta-Fehlberg method of third order is proposed. ... Numerical results are discussed. Keywords: stiff systems, (m,k)-schemes, Fehlberg method, RungeтАУKutta methods, accuracy and stability control, variable structure algorithm, ordinary differential equations, numerical methods. ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2015/v16r342.html -- 3.2 Кб -- 15.09.2015
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42. A modification of the CABARET scheme for numerical simulation of multicomponent
... A modification of the CABARET scheme for numerical simulation of multicomponent gaseous flows in two-dimensional domains" . Danilin A.V., Solovjev A.V., and Zaitsev A.M. An explicit numerical algorithm for calculation of two-dimensional motion of multicomponent gas mixtures is proposed. ... Keywords: one-velocity multicomponent medium, systems of hyperbolic equations, CABARET scheme, computational fluid dynamics (CFD), conservative methods, finite volume methods, turbulent mixing. ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2015/v16r341.html -- 3.8 Кб -- 01.09.2015
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43. On the numerical solution of the Neumann boundary value problem for the
... On the numerical solution of the Neumann boundary value problem for the Helmholtz equation using the method of hypersingular integral equations" . Daeva S.G. and Setukha A.V. A numerical method for solving a boundary hypersingular integral equation arising from the Neumann boundary value problem for the Helmholtz equation is proposed. ... Keywords: boundary integral equations, hypersingular integrals, discrete singularity method, Helmholtz equation, diffraction of acoustic waves. ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2015/v16r340.html -- 4.0 Кб -- 27.08.2015
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44. A parallel multilevel nested dissection algorithm for shared-memory computing
... A parallel multilevel nested dissection algorithm for shared-memory computing systems" . ... A new parallel ordering algorithm for shared-memory computing systems is proposed. ... The parallel MORSy version is publicly available from the Supercomputing Center of Lobachevsky State University of Nizhni Novgorod. Keywords: multilevel nested dissection, sparse matrix ordering, Cholesky factorization, parallel algorithms, shared-memory computing systems, high-performance computing. ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2015/v16r339.html -- 4.7 Кб -- 24.08.2015
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45. Dispersion analysis of the discontinuous Galerkin method as applied to the
... Dispersion analysis of the discontinuous Galerkin method as applied to the equations of dynamic elasticity theory" . ... Keywords: Smoluchowski equation, kinetics of aggregation and fragmentation processes, predictor-corrector scheme, cross interpolation method, low-rank matrix approximations, discrete convolution, parallel computing. ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2015/v16r338.html -- 3.2 Кб -- 18.08.2015
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46. Modeling of riveted assembly of wing sheathing with forward stiffeners
... Modeling of riveted assembly of wing sheathing with forward stiffeners" . Bormotin K.S., Oleinikov A.I., and Ovcharov I.O. Modeling of a high-reliability riveted joint of a double-curvature panel with ribbed stiffeners is considered. ... An iterative method of determining the forward curvatures of stiffeners that provide the prescribed geometrical parameters of riveted panels is proposed. ... Associate Professor, e-mail: cvmi@knastu.ru . ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2015/v16r337.html -- 3.5 Кб -- 04.08.2015
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47. A parallel implementation of the matrix cross approximation method
... A parallel implementation of the matrix cross approximation method" . Zheltkov D.A. and Tyrtyshnikov E.E. The matrix cross approximation method is a fast method based on low-rank matrix approximations with complexity O((m+n)r 2 ) arithmetic operations. ... Keywords: low-rank matrix approximations, matrix cross approximation method, parallel algorithms. ... Tyrtyshnikov E.E. тАУ Institute of Numerical Mathematics, Russian Academy of Sciences; ulitsa Gubkina 8, Moscow, 119333, Russia; Dr. Sci., ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2015/v16r336.html -- 3.6 Кб -- 04.08.2015
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48. Editorial Board
... A.V. Tikhonravov, Ph.D., Professor . Research Computing Center, Lomonosov Moscow State University, Moscow, Russia; . ... Professor, Research Computing Center, Lomonosov Moscow State University, Moscow, Russia; . ... Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia; . ... Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, Russia; . ... Faculty of Physics , Lomonosov Moscow State University, Moscow, Russia; . ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/common/collegia.html -- 6.8 Кб -- 28.07.2015
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49. Редакционная коллегия
... А.В. Тихонравов, д.ф.-м.н., профессор . Научно-исследовательский вычислительный центр МГУ им. М.В. Ломоносова, . ... В.В. Александров, д.ф.-м.н., профессор . ... факультет вычислительной математики и кибернетики МГУ им. М.В. Ломоносова, . ... М.В. Клибанов, д.ф.-м.н., профессор . ... профессор математики и статистики, e-mail: mklibanv@uncc.edu . ... профессор кафедры высшей математики, e-mail: ilposed@sumail.ru . ... профессор кафедры математики, e-mail: sokoloff.dd@gmail.com . ...
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Ссылки http://num-meth.srcc.msu.ru/zhurnal/common/collegia.html -- 6.5 Кб -- 28.07.2015
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50. A parallel implementation of a fast method for solving the Smoluchowski-type
... A parallel implementation of a fast method for solving the Smoluchowski-type kinetic equations of aggregation and fragmentation processes" . Matveev S.A. A parallel implementation of a fast algorithm for solving systems of the Smoluchowski-type kinetic equations of aggregation and fragmentation processes is proposed. The efficiency and scalability of the proposed implementation are shown for several particular problems of aggregation and fragmentation kinetics. ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2015/v16r335.html -- 3.2 Кб -- 28.07.2015
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51. A method of redundant constraint elimination in the problem of body recovery
... A method of redundant constraint elimination in the problem of body recovery based on support function measurements" . Palachev I.A. A new body recovery algorithm based on support function measurements is proposed. ... The reduction of constraint number is based on a new method that allows one to eliminate a part of initial constraints as redundant. ... It allows one to reuse body recovery methods based on support function measurements. ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2015/v16r334.html -- 3.4 Кб -- 20.07.2015
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52. Formation of hydrate particles in the process of gas bubble rising
... Formation of hydrate particles in the process of gas bubble rising" . ... It is shown that two modes of hydrate particle formation are possible depending on the initial depth of bubble rising. A formula relating the hydrate particle porosity on this initial depth is derived. ... The effect of the initial size and depth of bubble formation on the dynamics of the hydrate formation process is analyzed. ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2015/v16r333.html -- 3.6 Кб -- 13.07.2015
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53. Comparison of computational efficiency of explicit and implicit schemes for the
... Comparison of computational efficiency of explicit and implicit schemes for the sediment transport problem in coastal zones" . Sukhinov A.I., Protsenko E.A., Chistyakov A.E., and Shreter S.A. An unsteady spatial two-dimensional sediment transport model in coastal zones is considered. ... Keywords: mathematical model, sediment transport, distributed computing, parallel programming, dynamics of marine sediments, shallow water equations, diffusion-convection-reaction equation. ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2015/v16r332.html -- 4.1 Кб -- 02.07.2015
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54. Algorithms of optimal packing construction for planar compact sets
... Algorithms of optimal packing construction for planar compact sets" . ... An analytical algorithm for constructing the one disk best packing in a polygon in Euclidean space based on the maximization of the distance function from the boundary is proposed. ... A numerical algorithm for packing in a nonconvex set in non-Euclidian metrics based on the optical geometric analogy is also proposed. ... PDF (Full text in Russian, References in English) (684KB) . ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2015/v16r230.html -- 3.5 Кб -- 01.07.2015
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55. Analysis of resonant excitation of layered and block media on the basis of
... Analysis of resonant excitation of layered and block media on the basis of discrete models" . Sadovskii V.M. and Chentsov E.P. Resonant processes in structurally inhomogeneous materials of layered and block microstructure are studied in the framework of discrete models. Natural frequencies of longitudinal motion in a linear monato\-mic chain modeling a layered medium are determined for various boundary conditions. ... This special resonant frequency does not depend on the chain length. ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2015/v16r231.html -- 3.6 Кб -- 30.06.2015
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56. An approach for constructing one-point iterative methods for solving nonlinear
... An approach for constructing one-point iterative methods for solving nonlinear equations of one variable" . Gromov A.N. An approach for constructing one-point iterative methods for solving nonlinear equations of one variable is proposed. ... It is shown that such an approach leads to new iterative processes of higher order with larger convergence domains compared to the known iterative methods. ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2015/v16r229.html -- 3.4 Кб -- 15.06.2015
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57. An open AlgoWiki encyclopedia of algorithmic features: from mobile to extreme
... An open AlgoWiki encyclopedia of algorithmic features: from mobile to extreme scale" . Voevodin Vl.V. One of the fundamental problems of high performance computing consists in the necessity of a careful matching between the algorithmic structure of parallel programs and the features of a particular computer architecture. ... The AlgoWiki project is based on the fact that the features of algorithms by themselves are not dependent on computing systems. ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2015/v16r111.html -- 4.2 Кб -- 09.06.2015
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58. On a problem of the synthesis of nano-optical protection elements
... On a problem of the synthesis of nano-optical protection elements" . Goncharsky A.A. and Durlevich S.R. This paper deals with the mathematical modeling and the synthesis of nano-optical elements for the forming of 2D images used for automated identification. The inverse problem of synthesis is considered in Fresnel's scalar wave approximation. ... When illuminated by a coherent light, the designed nano-optical elements produce 2D images used for the automated identification. ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2015/v16r228.html -- 3.8 Кб -- 09.06.2015
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59. A parallel optimization method for numerical solving the system of polaron
... A parallel optimization method for numerical solving the system of polaron equations using the partitioning algorithm" . Volokhova A.V., Zemlyanaya E.V., and Rikhvitskiy V.S. The previously developed method for the numerical simulation of the formation of polaron states in condensed media is modified using the partitioning algorithm, which provides a significant speedup in the parallel computations on multiprocessor systems. ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2015/v16r227.html -- 3.8 Кб -- 01.06.2015
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60. Solution of the Helmholtz problem using the preconditioned low-rank
... Solution of the Helmholtz problem using the preconditioned low-rank approximation technique" . ... This technique is applied as a preconditioner for two different iterative processes: an iterative refinement and BiCGStab. ... Keywords: 3D Helmholtz problem, algorithms for sparse systems of linear algebraic equations, Gaussian elimination method, low-rank approximation, HSS matrix representation, BiCGStab method, iterative refinement. ...
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Ссылки http://num-meth.srcc.msu.ru/english/zhurnal/tom_2015/v16r226.html -- 4.1 Кб -- 25.05.2015
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