Zobrazeno 1 - 10
of 405
pro vyhledávání: '"37M05"'
Publikováno v:
Mathematical Physics and Computer Simulation, 2024, vol. 27, no. 4, pp. 39-55
Modeling of collisionless galactic systems is based on the N-body model, which requires large computational resources due to the long-range nature of gravitational forces. The most common method for calculating gravity is the TreeCode algorithm, whic
Externí odkaz:
http://arxiv.org/abs/2412.01733
Autor:
lliopoulos, Athanasios P., Lunasin, Evelyn, Michopoulos, John G., Rodriguez, Steven N., Wiggins, Stephen
This study presents a method, along with its algorithmic and computational framework implementation, and performance verification for dynamical system identification. The approach incorporates insights from phase space structures, such as attractors
Externí odkaz:
http://arxiv.org/abs/2411.10910
We present a novel reduced-order Model (ROM) that leverages optimal transport (OT) theory and displacement interpolation to enhance the representation of nonlinear dynamics in complex systems. While traditional ROM techniques face challenges in this
Externí odkaz:
http://arxiv.org/abs/2411.08750
Autor:
Brolly, Martin T.
Stochastic parameterisations deployed in models of the Earth system frequently invoke locality assumptions such as Markovianity or spatial locality. This work highlights the impact of such assumptions on predictive performance. Both in terms of short
Externí odkaz:
http://arxiv.org/abs/2411.07041
In order to truly understand how social media might shape online discourses or contribute to societal polarization, we need refined models of platform choice, that is: models that help us understand why users prefer one social media platform over ano
Externí odkaz:
http://arxiv.org/abs/2411.04681
A Flight-Mechanics Solver for Aircraft Inverse Simulations and Application to 3D Mirage-III Maneuver
Autor:
Marzouk, Osama A.
Publikováno v:
Global Journal of Control Engineering and Technology, vol. 1, pp. 14-26, 2015
The main objective of this paper is to present a general mathematical model and an associated numerical algorithm applicable to an arbitrary fixed-wing fixed-mass aircraft undergoing an arbitrary maneuver, based on the 3D nonlinear coupled differenti
Externí odkaz:
http://arxiv.org/abs/2411.00834
Autor:
Deeb, Ahmad, Dutykh, Denys
In this study, we introduce a refined method for ascertaining error estimations in numerical simulations of dynamical systems via an innovative application of composition techniques. Our approach involves a dual application of a basic one-step numeri
Externí odkaz:
http://arxiv.org/abs/2409.10548
Autor:
Ephrati, Sagy
A framework for deriving probabilistic data-driven closure models is proposed for coarse-grained numerical simulations of turbulence in statistically stationary state. The approach unites the ideal large-eddy simulation model and data assimilation me
Externí odkaz:
http://arxiv.org/abs/2408.14838
Parametric model order reduction by matrix interpolation allows for efficient prediction of the behavior of dynamic systems without requiring knowledge about the underlying parametric dependency. Within this approach, reduced models are first sampled
Externí odkaz:
http://arxiv.org/abs/2408.10868
Autor:
Wehlitz, Nathalie, Sadeghi, Mohsen, Montefusco, Alberto, Schütte, Christof, Pavliotis, Grigorios A., Winkelmann, Stefanie
This work proposes stochastic partial differential equations (SPDEs) as a practical tool to replicate clustering effects of more detailed particle-based dynamics. Inspired by membrane-mediated receptor dynamics on cell surfaces, we formulate a stocha
Externí odkaz:
http://arxiv.org/abs/2407.18952