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We present a method for incorporating a stochastic point of view into physics exercises of mathematics education. The core of our method is the randomization of some inputs, the system model used does not differ from what we would use in…

物理教育 · 物理学 2025-09-16 Matyas Barczy , Imre Kocsis , Csaba Gábor Kézi

We express the probabilistic character associated to the wave function by treating it as a stochastic variable. This is accomplished by means of a stochastic equation for the wave function whose noise changes the phase of the wave function…

量子物理 · 物理学 2026-01-08 Mário J. de Oliveira

In this paper, we investigate the wave solutions of a stochastic rotating shallow water model. This approximate model provides an interesting simple description of the interplay between waves and random forcing ensuing either from the wind…

流体动力学 · 物理学 2023-05-02 Etienne Mémin , Long Li , Noé Lahaye , Gilles Tissot , Bertrand Chapron

We present a new stochastic framework for studying ship capsize. It is a synthesis of two strands of transition state theory. The first is an extension of deterministic transition state theory to dissipative non-autonomous systems, together…

Stochastic wind sea is an intermediate small-scale physical process responsible for the state of the atmospheric boundary layer and the water upper layer, having dynamics of all scales. To describe behavior of this system, one could use the…

大气与海洋物理 · 物理学 2010-09-13 Vladislav Polnikov

This work studies the problem of predicting the loads and motions induced by wave systems on a ship in forward motion (seakeeping). Assuming that the hull is rigid, the motion of the ship is described by the equations of rigid body…

流体动力学 · 物理学 2025-04-11 Andrea Colagrossi

The inclusion of stochastic terms in equations of motion for fluid problems enables a statistical representation of processes which are left unresolved by numerical computation. Here, we derive stochastic equations for the behaviour of…

流体动力学 · 物理学 2023-03-22 Oliver D. Street

A method is developed to estimate the properties of a global hydrodynamic instability in turbulent flows from measurement data of the limit-cycle oscillations. For this purpose, the flow dynamics are separated in deterministic contributions…

流体动力学 · 物理学 2021-04-21 Moritz Sieber , C. Oliver Paschereit , Kilian Oberleithner

The influence of forward speed on stochastic free-surface crossing, in a Gaussian wave field, is investigated. The case of a material point moving with a constant forward speed is considered; the wave field is assumed stationary in time,…

大气与海洋物理 · 物理学 2021-06-24 Romain Hascoët , Nicolas Raillard , Nicolas Jacques

We develop a stochastic parametrization, based on a `simple' deterministic model for the dynamics of steady longshore currents, that produces ensembles that are statistically consistent with field observations of these currents. Unlike…

数据分析、统计与概率 · 物理学 2016-12-06 Juan M. Restrepo , Shankar C. Venkataramani

This brief article reviews stochastic processes as relevant to dynamical models of wave-function collapse, and is supplemental material for the review article arXiv:1204.4325

量子物理 · 物理学 2012-12-24 Angelo Bassi , Kinjalk Lochan , Seema Satin , Tejinder P. Singh , Hendrik Ulbricht

An efficient algorithm to simulate dynamics of open quantum system is presented. The method describes the dynamics by unraveling stochastic wave functions converging to a density operator description. The stochastic techniques are based on…

量子物理 · 物理学 2022-09-21 Ronnie Kosloff Uriel Shafir

Heteroscedastic Gaussian process regression, based on the concept of chained Gaussian processes, is used to build surrogates to predict site-specific loads on an offshore wind turbine. Stochasticity in the inflow turbulence and irregular…

应用统计 · 统计学 2022-06-15 Deepali Singh , Richard P. Dwight , Kasper Laugesen , Laurent Beaudet , Axelle Viré

Bayesian inference methods are applied within a Bayesian hierarchical modelling framework to the problems of joint state and parameter estimation, and of state forecasting. We explore and demonstrate the ideas in the context of a simple…

应用统计 · 统计学 2012-11-09 John Parslow , Noel Cressie , Edward P. Campbell , Emlyn Jones , Lawrence Murray

The investigation of the coupled atmosphere-ocean system is not only scientifically challenging but also practically important. We consider a coupled atmosphere-ocean model, which involves hydrodynamics, thermodynamics, and random…

动力系统 · 数学 2007-05-23 J. Duan , H. Gao , B. Schmalfuss

We develop a statistical theory of waveform shaping of incident waves that aim to efficiently deliver energy at weakly lossy targets which are embedded inside chaotic enclosures. Our approach utilizes the universal features of chaotic…

无序系统与神经网络 · 物理学 2018-07-25 Huanan Li , Suwun Suwunnarat , Tsampikos Kottos

The ocean wave distribution in a specific region of space and time is described by its sea state. Knowledge about the sea states a ship encounters on a journey can be used to assess various parameters of risk and wear associated with the…

应用统计 · 统计学 2019-06-04 Anders Hildeman , David Bolin , Igor Rychlik

An approach for the description of stochastic systems is derived. Some of the variables in the system are studied forward in time, others backward in time. The approach is based on a perturbation expansion in the strength of the coupling…

统计力学 · 物理学 2021-08-04 Piero Olla

We review opportunities for stochastic geometric mechanics to incorporate observed data into variational principles, in order to derive data-driven nonlinear dynamical models of effects on the variability of computationally resolvable…

混沌动力学 · 物理学 2018-06-28 François Gay-Balmaz , Darryl D. Holm

A data-driven methodology is proposed to model the distribution of multivariate stochastic trajectories from an observed sample. As a first step, each trajectory in the sample is reduced to a vector of features by means of Functional…

流体动力学 · 物理学 2026-05-15 Romain Hascoët
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