Zobrazeno 1 - 10
of 75 401
pro vyhledávání: '"Mathematics - Numerical Analysis"'
Autor:
Weiß, Christian
Braaten and Weller discovered that the star-discrepancy of Halton sequences can be strongly reduced by scrambling them. In this paper, we apply a similar approach to those subsequences of Halton sequences which can be identified to have low-discrepan
Externí odkaz:
http://arxiv.org/abs/2411.10363
In this work we present an a priori error analysis for solving the unsteady advection equation on cut cell meshes along a straight ramp in two dimensions. The space discretization uses a lowest order upwind-type discontinuous Galerkin scheme involvin
Externí odkaz:
http://arxiv.org/abs/2411.10283
Monitored Natural Attenuation (MNA) is gaining prominence as an effective method for managing soil and groundwater contamination due to its cost-efficiency and minimal environmental disruption. Despite its benefits, MNA necessitates extensive groundw
Externí odkaz:
http://arxiv.org/abs/2411.10214
Autor:
Jiang, Qingwei, Liu, Mingqing, Xu, Mengyuan, Fang, Wen, Xiong, Mingliang, Liu, Qingwen, Zhou, Shengli
Due to power attenuation, improving transmission efficiency in the radio-frequency (RF) band remains a significant challenge, which hinders advancements in various fields of the Internet of Things (IoT), such as wireless power transfer (WPT) and wire
Externí odkaz:
http://arxiv.org/abs/2411.10151
Autor:
Sun, Zejun, Zheng, Guang-Hui
In this article, we propose a new dimensionality-independent and gradient-free sampler, called Geometric Optics Approximation Sampling, which is based on the reflector antenna system. The core idea is to construct a reflecting surface that redirects
Externí odkaz:
http://arxiv.org/abs/2411.09964
We study the effect of the streamline upwind/Petrov Galerkin (SUPG) stabilized finite element method on the discretization of optimal control problems governed by linear advection-diffusion equations. We compare two approaches for the numerical solut
Externí odkaz:
http://arxiv.org/abs/2411.09828
Autor:
Stabile, André de F., Vizzaccaro, Alessandra, Salles, Loïc, Colombo, Alessio, Frangi, Attilio, Touzé, Cyril
The direct parametrisation method for invariant manifolds is adjusted to consider a varying parameter. More specifically, the case of systems experiencing a Hopf bifurcation in the parameter range of interest are investigated, and the ability to pred
Externí odkaz:
http://arxiv.org/abs/2411.09769
Autor:
Heredia, Carlos
In this paper, we propose a continuous-time formulation for the AdaGrad, RMSProp, and Adam optimization algorithms by modeling them as first-order integro-differential equations. We perform numerical simulations of these equations to demonstrate thei
Externí odkaz:
http://arxiv.org/abs/2411.09734
Physics-informed neural networks (PINNs) for numerical model error approximation and superresolution
Numerical modeling errors are unavoidable in finite element analysis. The presence of model errors inherently reflects both model accuracy and uncertainty. To date there have been few methods for explicitly quantifying errors at points of interest (e
Externí odkaz:
http://arxiv.org/abs/2411.09728
Dynamic Stackelberg games are a broad class of two-player games in which the leader acts first, and the follower chooses a response strategy to the leader's strategy. Unfortunately, only stylized Stackelberg games are explicitly solvable since the fo
Externí odkaz:
http://arxiv.org/abs/2411.09644