... Approximate solution of the Cauchy problem for ordinary differential equations by the method of Chebyshev series" . ... This method is based on the approximation of the solution to the Cauchy problem and its derivatives by partial sums of shifted Chebyshev series. ... Keywords: ordinary differential equations, Cauchy problem, approximate analytical methods, numerical methods, orthogonal expansions, shifted Chebyshev series, Markov's quadrature formulas. ...
... Arushanyan O.B. and Zaletkin S.F. Approximate solution of the Cauchy problem for ordinary differential equations by the method of Chebyshev series . ... Barkalov K.A., Lebedev I.G., Sovrasov V.V., and Sysoyev A.V. Implementation of a parallel algorithm for searching the global extremum of a function on Intel Xeon Phi . ... Volokhova A.V., Zemlyanaya E.V., and Rikhvitskiy V.S. A parallel optimization method for numerical solving the system of polaron equations using the partitioning algorithm . ...
... Increasing the interval of convergence for a generalized Newton's method of solving nonlinear equations . ... Parallelization technologies for solving three-dimensional boundary value problems on quasi-structured grids using the CPU+GPU hybrid computing environment . ... New approaches to the development of highly efficient parallel algorithms for numerical solution of boundary value problems on structured grids . ... Barkalov K.A., Lebedev I.G., Sovrasov V.V., and Sysoyev A.V. 101-110 . ...
Архив новостей . ... 05.04.2016 Опубликована статья . ... Статья рекомендована к публикации Программным комитетом Международной научной конференции "Параллельные вычислительные технологии" (ПаВТ-2016; http://agora.guru.ru/pavt2016) . ... 18.12.2015 Опубликована статья . ... Статья рекомендована к публикации Программным комитетом Международной научной конференции "Суперкомпьютерные дни в России 2015" (http://russianscdays.org) . ...
... О журнале . ... Новости . Подписка на новости . Том 1 (2000) . Том 2 (2001) . Том 3 (2002) . Том 4 (2003) . Том 5 (2004) . Том 6 (2005) . ... 05.04.2016 г. ...
... A reconfigurable computer system based on FPGAs with liquid cooling" . Levin I.I., Dordopulo A.I., Doronchenko Yu.I., Raskladkin M.K., and Fedorov A.M. The paper deals with problems of design of promising reconfigurable computer systems with liquid cooling for Xilinx Virtex UltraScale FPGAs. ... Keywords: reconfigurable computer systems, FPGAs, liquid cooling, computational module, high-performance computer systems, real and specific performance, power efficiency. ...
... Implementation of a parallel algorithm for searching the global extremum of a function on Intel Xeon Phi" . ... An implementation of the algorithm on modern computing systems using Intel Xeon Phi coprocessors is examined. ... It is shown that the implementation of the algorithm using Xeon Phi is more efficient than that using CPU only. ... Keywords: global optimization, multiextremal functions, dimension reduction, parallel computing, Intel Xeon Phi. ...
... Methods and concepts of vortex flow visualization in the problems of computational fluid dynamics" . Volkov K.N., Emelyanov V.N., Teterina I.V., and Yakovchuk M.S. A number of concepts and methods for the visual representation of numerical results obtained when solving fluid and gas dynamics problems related to the simulation of vortex flows are considered. ... Keywords: scientific visualization, computational fluid dynamics, fluid flow, vortex, vector field, tensor field, jet, cavity, channel. ...
ISSN 1726-3522 . This on-line open access journal is published by the Research Computing Center of Lomonosov Moscow State University . The journal is registered with the Federal Agency for Press and Mass Communications of the Russian Federation as an electronic journal (certificate No. 77-4356, ISSN 1726-3522). The journal is included in the List of Periodicals (in Russian) intended in Russia for the publication of main results of dissertations. ...
... New approaches to the development of highly efficient parallel algorithms for numerical solution of boundary value problems on structured grids" . Volokhov V.M., Martynenko S.I., Toktaliev P.D., Yanovskiy L.S., and Volokhov A.V. New approaches to the development of highly efficient parallel algorithms for numerical solution of boundary value problems are considered. ... Advantages of these approaches compared to traditional methods of constructing parallel algorithms are shown. ...
ISSN 1726-3522 . Учредителем и издателем журнала является Научно-исследовательский вычислительный центр Московского государственного университета имени М.В. Ломоносова (НИВЦ МГУ). ... 77-4356, ISSN 1726-3522). ... Журнал включен в библиографическую базу данных Ulrich's Periodicals Directory . Библиографическая информация об опубликованных статьях помещается в базу данных научного цитирования РИНЦ . ...
... Parallelization technologies for solving three-dimensional boundary value problems on quasi-structured grids using the CPU+GPU hybrid computing environment" . ... The computational acceleration achieved on the CPU+GPU hybrid computing environment is experimentally estimated compared to using the CPU only. Keywords: boundary value problems, domain decomposition methods, Poincare-Steklov equation, quasi-structured grids, Peaceman-Rachford method, graphics accelerators. ...
... Application of multiGPU+CPU architecture for the direct numerical simulation of laminar-turbulent transition" . Evstigneev N.M. and Ryabkov O.I. The use of various parallel computational architectures for the direct numerical simulation (DNS) of laminar-turbulent transition problems (LTTPs) is summarized. ... Keywords: multiGPU, hybrid GPU and CPU architecture, direct numerical simulation, laminar-turbulent transition, dynamical systems, high order numerical methods. ...
... An orthogonal power method of solving the partial eigenproblem for a symmetric nonnegative definite matrix" . Kireev I.V. An efficient version of the conjugate direction method to find a nontrivial solution of a homogeneous system of linear algebraic equations with a singular symmetric nonnegative definite square matrix is proposed and substantiated. ... This family includes the power method as a special case. ... Keywords: eigenvector, eigenvalue, conjugate direction method, Krylov subspaces. ...
... Construction of third-order schemes using Lagrange-Burmann expansions for the numerical integration of inviscid gas equations" . Vorozhtsov E.V. It is proposed to construct several explicit third-order difference schemes for the hyperbolic conservation laws using the expansions of grid functions in Lagrange-Burmann series. ... The quasi-monotonous profiles of numerical solutions are obtained. Keywords: hyperbolic conservation laws, Lagrange-Burmann expansions, difference methods. ...
Численный анализ, вычислительная и прикладная математика, математическое моделирование, вычислительный эксперимент, численные программы, инструментальные средства, параллельные и векторные вычисления, проблемно- и объектно-ориентированные языки, библиотеки программ, прикладные пакеты. Интернет-журнал - Вычислительные методы и программирование. Методы и алгоритмы решения задач вычислительной математики, программные средств и технологи, учебно-методические материалы.
... Regularized inversion of full tensor magnetic gradient data" . Wang Y., Luk'yanenko D.V., and Yagola A.G. Features of numerical solution of the three-dimensional ill-posed problem devoted to the inversion of full tensor magnetic gradient data are considered. ... Keywords: magnetostatics, full tensor magnetic gradient data, inverse problems, ill-posed problems, regularization method. PDF (Full text in Russian, References in English) (456KB) . ... Professor, e-mail: yfwang@mail.iggcas.ac.cn . ...
... Increasing the interval of convergence for a generalized Newton's method of solving nonlinear equations" . Gromov A.N. An approach to the construction of an extended interval of convergence for a previously proposed generalization of Newton's method to solve nonlinear equations of one variable. ... Keywords: iterative processes, Newton's method, logarithmic derivative, continuous functions defined on a segment, higher order methods, interval of convergence, transcendental equations. ...