Výsledky vyhledávání - "N. M. Evstigneev"

Numerical Analysis of Laminar–Turbulent Transition by Methods of Chaotic Dynamics

Autor: N. M. Evstigneev, N. A. Magnitskii

Publikováno v: Doklady Mathematics. 101:110-114

This paper summarizes the results of studies of the laminar–turbulent transition in some fluid and gas dynamics problems obtained by applying numerical methods and methods of chaotic dynamics. The following problems are analyzed: 2D and 3D Kolmogor

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::060740a43cef79f1e2168c77172a6194
https://doi.org/10.1134/s1064562420020118

Zobrazit plný text záznamu

Plný text ve formátu HTML

Numerical Bifurcation Analysis in 3D Kolmogorov Flow Problem

Autor: N. M. Evstigneev, N. A. Magnitskii, O. I. Ryabkov

Publikováno v: Journal of Applied Nonlinear Dynamics. 8:595-619

A three dimensional Kolmogorov problem with extended forcing term for Navier-Stokes equations is considered in the extended periodic domain. The Galerkin{Fourier method is applied and two problem congurations are considered: the symmetry preserving s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9df4511d7f7d09840d9b6ea7d1eb71bf
https://doi.org/10.5890/jand.2019.12.007

Zobrazit plný text záznamu

Algorithms for Constructing Isolating Sets of Phase Flows and Computer-Assisted Proofs with the Use of Interval Taylor Models

Autor: N. M. Evstigneev, O. I. Ryabkov

Publikováno v: Differential Equations. 55:1198-1217

This work continues the research devoted to considering interval Taylor models (TM) as applied to proving the existence of periodic trajectories in systems of ordinary differential equations (ODEs). The Taylor models are used here within a topologica

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a459ed21af3d2acd6f03c081b217c6b0
https://doi.org/10.1134/s0012266119090088

Zobrazit plný text záznamu

Application of the AmgX Library to the Discontinuous Galerkin Methods for Elliptic Problems

Autor: O. I. Ryabkov, N. M. Evstigneev

Publikováno v: Communications in Computer and Information Science ISBN: 9783030816902

We consider an application of the AmgX library by NVIDIA as the preconditioner or solver for discrete elliptic problems expressed through Discontinuous Galerkin methods (DG) with various formulations. The effect of poor geometric multigrid performanc

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::737e97ed4b360545f03a1f4e554a6ec7
https://doi.org/10.1007/978-3-030-81691-9_13

Zobrazit plný text záznamu

Deflation of Periodic Orbits in Large-Scale Systems: Algorithm and Parallel Implementation

Autor: N. M. Evstigneev

Publikováno v: Communications in Computer and Information Science ISBN: 9783030816902

We consider a nonlinear autonomous large-scale dynamical system with a parameter. Such systems usually stem from the discretization of initial boundary value problems for nonlinear partial differential equations. We are interested in finding all peri

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5c6c7ea0b8ae71ff26e1f2cdbbf2b791
https://doi.org/10.1007/978-3-030-81691-9_6

Zobrazit plný text záznamu

On the Implementation of Taylor Models on Multiple Graphics Processing Units for Rigorous Computations

Autor: N. M. Evstigneev, O. I. Ryabkov

Publikováno v: Communications in Computer and Information Science ISBN: 9783030553258

Taylor Models present the polynomial generalization of the simple interval approach for rigorous computations of differential equations suggested by Martin Berz. These models are used to obtain better estimates for guaranteed enclosures of solutions.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::942a4ee0171b739383cd555c65fb3af9
https://doi.org/10.1007/978-3-030-55326-5_7

Zobrazit plný text záznamu

Applicability of the Interval Taylor Model to the Computational Proof of Existence of Periodic Trajectories in Systems of Ordinary Differential Equations

Autor: O. I. Ryabkov, N. M. Evstigneev

Publikováno v: Differential Equations. 54:525-538

We consider the construction of the interval Taylor model used to prove the existence of periodic trajectories in systems of ordinary differential equations. Our model differs from the ones available in the literature in the method for describing the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0df7101f6349b50019c7aac12f199bdc
https://doi.org/10.1134/s0012266118040092

Zobrazit plný text záznamu

Possible heat production in some Ni-H and Ni-D systems, revised

Autor: O I Ryabkov, V V Skliznev, N M Evstigneev, A V Ikonnikov, S V Makeev

Publikováno v: Journal of Physics Communications. 5:105021

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b2e748b441c894d31bb9398fa16887c8
https://doi.org/10.1088/2399-6528/ac29ee

Zobrazit plný text záznamu

On the chaotic dynamics in two coupled partial differential equations for evolution of surface plasmon polaritons

Autor: N. A. Magnitskii, N. M. Evstigneev, D. A. Burov

Publikováno v: Communications in Nonlinear Science and Numerical Simulation. 46:26-36

In this paper two coupled (linear and nonlinear) equations are studied. These equations describe dynamics of surface plasmon polaritons at dielectric-metal-dielectric surfaces. Previously constructed bifurcation diagram of an analytical spatially hom

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::605d1f4212111caa47ba0d563ca9120e
https://doi.org/10.1016/j.cnsns.2016.10.012

Zobrazit plný text záznamu

Vyhledávací nástroje:

Upřesnit hledání