Model-reduction techniques aim to reduce the computational complexity of simulating dynamical systems by applying a (Petrov–)Galerkin projection process that enforces dynamics evolve in low-dimensional subspace original state space. Frequently, resulting reduced-order model (ROM) violates intrinsic physical properties full-order (e.g., global conservation, Lagrangian structure, state-variable b...

The paper provides information about the international Russian-Brazilian field studies in largest river plume of World Ocean, on shelf northern part Brazil near mouth Amazon River. work was conducted from November 20 to 29, 2022, as scientific program 52nd cruise R/V “Akademik Boris Petrov”. research organized and implemented jointly by Russian Brazilian scientists. Measurements performed at 28...

The multiplicity of charged hadrons in the current fragmentation region of both the c.m.s. and the Breit frame of deep inelastic scattering is calculated and compared with the HERA data. The results are in agreeement with Yang’s hypothesis that the efficiency of high energy processes increases at larger momentum transfer. CERN-TH/2000-075 March 2000 ∗) Permanent address: Institute for High Ener...

A plane-symmetric inhomogeneous cosmological model of perfect fluid distribution with electro-magnetic field is obtained. The source of the magnetic field is due to an electric current produced along the z-axis. F12 is the non-vanishing component of electromagnetic field tensor. To get a deterministic solution, we assume the free gravitational field is Petrov type-II non-degenerate. The behavio...

In this paper, we introduce the Petrov-Galerkin method for solution of stochastic Volterra integral equations. Here, we use continues Lagrange-type k-0 elements, since these elements have simple structure and via them, the solution of stochastic Volterra integral equation is reduced to algebraic equations. Also the error analysis of this method is done. In Comparison with other methods, this me...

We propose and analyse a fully discrete Petrov–Galerkin method with quadrature, for solving second-order, variable coefficient, elliptic boundary value problems on rectangular domains. In our scheme, the trial space consists of C2 splines of degree r 3, the test space consists of C0 splines of degree r − 2, and we use composite (r − 1)-point Gauss quadrature. We show existence and uniqueness of...

The aim of this paper is twofold. First, we review the recent Petrov-Galerkin enriched method (PGEM) to stabilize numerical solutions of BVP’s in primal and mixed forms. Then, we extend such enrichment technique to a mixed singularly perturbed problem, namely, the generalized Stokes problem, and focus on a stabilized finite element method arising in a natural way after performing static condens...

B. Marcelis, S. J. J. M. F. Kokkelmans, G. V. Shlyapnikov, and D. S. Petrov Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands Laboratoire Physique Théorique et Modèles Statistique, Université Paris Sud, CNRS, 91405 Orsay, France Van der Waals-Zeeman Institute, University of Amsterdam, Valckenierstraat 65/67, 1018 XE Amsterdam, The Netherlands Russian Research ...

We introduce a multitree-based adaptive wavelet Galerkin algorithm for space-time discretized linear parabolic partial differential equations, focusing on time-periodic problems. It is shown that the method converges with the best possible rate in linear complexity and can be applied for a wide range of wavelet bases. We discuss the implementational challenges arising from the Petrov-Galerkin n...

We compute the functional determinant for the fluctuations around the most general selfdual configuration with unit topological charge for 4D SU(2) Yang-Mills with one compactified direction. This configuration is called “instanton with non-trivial holonomy” or “Kraan-vanBaal-Lee-Lu caloron”. It is a generalization of the usual instantons for the case of non-zero temperature. We extend the earl...