Zobrazeno 1 - 10
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pro vyhledávání: '"A Petrov"'
Autor:
Obukhov, V. V.
Publikováno v:
Symmetry 2024, 16, 1385
In this paper the final stage of the Petrov classification is carried out. As it is known, the Killing vector fields specify infinitesimal transformations of the group of motions of space $V_4$. In the case when in the homogeneous space $V_4$ the gro
Externí odkaz:
http://arxiv.org/abs/2410.15406
Autor:
Gal'tsov, Dmitri, Kulitskii, Aleksandr
The vacuum and electrovacuum Einstein equations for spacetimes with two commuting Killing vectors can be solved by indirect methods of integrable systems. But if, in addition, the spacetime admits an irreducible Killing tensor and the corresponding K
Externí odkaz:
http://arxiv.org/abs/2409.13324
Recently, general fractional calculus was introduced by Kochubei (2011) and Luchko (2021) as a further generalisation of fractional calculus, where the derivative and integral operator admits arbitrary kernel. Such a formalism will have many applicat
Externí odkaz:
http://arxiv.org/abs/2411.08080
State-specific thermochemical collisional models are crucial to accurately describe the physics of systems involving nonequilibrium plasmas, but they are also computationally expensive and impractical for large-scale, multi-dimensional simulations. H
Externí odkaz:
http://arxiv.org/abs/2411.01673
Autor:
Nobile, Fabio, Trindade, Thomas Trigo
We propose a novel framework of generalised Petrov-Galerkin Dynamical Low Rank Approximations (DLR) in the context of random PDEs. It builds on the standard Dynamical Low Rank Approximations in their Dynamically Orthogonal formulation. It allows to s
Externí odkaz:
http://arxiv.org/abs/2407.01404
Publikováno v:
Nonlinear Engineering, Vol 13, Iss 1, Pp 329-35 (2024)
This study explores the Petrov–Galerkin method’s application in solving a linear fourth-order ordinary beam equation of the form u″″+qu=fu^{\prime\prime} ^{\prime\prime} +qu=f. The equation entails two distinct boundary conditions: pinned–p
Externí odkaz:
https://doaj.org/article/06f6cd8450a64eb1a3ec99f2fa96c3ff
For a general class of nonlinear port-Hamiltonian systems we develop a high-order time discretization scheme with certain structure preservation properties. The finite or infinite-dimensional system under consideration possesses a Hamiltonian functio
Externí odkaz:
http://arxiv.org/abs/2404.12480
Autor:
Lewandowski, Jerzy, Ossowski, Maciej
Publikováno v:
Phys. Rev. D 110, 024071 (2024)
We consider isolated horizons (Killing horizons up to the second order) whose null flow has the structure of a U(1) principal fiber bundle over a compact Riemann surface. We impose the vacuum Einstein equations (with the cosmological constant) and th
Externí odkaz:
http://arxiv.org/abs/2403.19383
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