Zobrazeno 1 - 10
of 59 105
pro vyhledávání: '"Lagrange P"'
In this paper, we extend the port-Hamiltonian framework by introducing the concept of Stokes-Lagrange structure, which enables the implicit definition of a Hamiltonian over an $N$-dimensional domain and incorporates energy ports into the system. This
Externí odkaz:
http://arxiv.org/abs/2412.04499
Let $\varphi$ be a smooth conservative diffeomorphism of a compact surface $S$ and let $\Lambda$ be a mixing horseshoe of $\varphi$. Given a smooth real function $f$ defined on $S$, we define for points $\eta$ in the unstable Cantor set of the pair $
Externí odkaz:
http://arxiv.org/abs/2411.16939
Autor:
Peng, Linyu, Yoshimura, Hiroaki
In this paper, we propose the concept of $(\pm)$-discrete Dirac structures over a manifold, where we define $(\pm)$-discrete two-forms on the manifold and incorporate discrete constraints using $(\pm)$-finite difference maps. Specifically, we develop
Externí odkaz:
http://arxiv.org/abs/2411.09530
Autor:
Pain, Jean-Christophe
In this article we derive, using the Lagrange inversion theorem and applying twice the Fa\`a di Bruno formula, an expression of the minimum of the Gamma function $\Gamma$ as an expansion in powers of the Euler-Mascheroni constant $\gamma$. The result
Externí odkaz:
http://arxiv.org/abs/2411.03181
Autor:
Milano, Federico
The paper shows the equivalence between the geometric frequency of an electric quantity, namely, voltage and current, and the Lagrange derivative of a stream-line of a fluid. The geometric frequency is a concept recently proposed by the author and is
Externí odkaz:
http://arxiv.org/abs/2410.02340
Autor:
You, Weilong, Zhang, Fu
The augmented Lagrange method is employed to address the optimal control problem involving pointwise state constraints in parabolic equations. The strong convergence of the primal variables and the weak convergence of the dual variables are rigorousl
Externí odkaz:
http://arxiv.org/abs/2411.18958
Two primary scalar auxiliary variable (SAV) approaches are widely applied for simulating gradient flow systems, i.e., the nonlinear energy-based approach and the Lagrange multiplier approach. The former guarantees unconditional energy stability throu
Externí odkaz:
http://arxiv.org/abs/2411.17403
We introduce a deep learning-based framework for weakly enforcing boundary conditions in the numerical approximation of partial differential equations. Building on existing physics-informed neural network and deep Ritz methods, we propose the Deep Uz
Externí odkaz:
http://arxiv.org/abs/2411.08702
Supervised fine-tuning (SFT) and alignment of large language models (LLMs) are key steps in providing a good user experience. However, the concept of an appropriate alignment is inherently application-dependent, and current methods often rely on heur
Externí odkaz:
http://arxiv.org/abs/2410.21533
Autor:
Tsiganov, A. V.
We discuss global tensor invariants of a rigid body motion in the cases of Euler, Lagrange and Kovalevskaya. These invariants are obtained by substituting tensor fields with cubic on variable components into the invariance equation and solving the re
Externí odkaz:
http://arxiv.org/abs/2410.10109