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A stochastic subgrid-scale parameterization based on the Ruelle's response theory and proposed in Wouters and Lucarini [2012] is tested in the context of a low-order coupled ocean-atmosphere model for which a part of the atmospheric modes…

大气与海洋物理 · 物理学 2017-01-18 Jonathan Demaeyer , Stéphane Vannitsem

Here the multipole approach [13], in combination with the density matrix formalism is used for establishing of the model for MMs with gain. This approach allows us to investigate analytically or semi-analytically the interplay between gain…

光学 · 物理学 2013-08-22 A. Chipouline , M. Dobynde , T. Pertsch

The presence of interharmonics in power systems can lead to asynchronous sampling, a phenomenon further aggravated by shifts in the fundamental frequency, which significantly degrades the accuracy of power measurements. Under such…

信号处理 · 电气工程与系统科学 2026-01-30 Jian Liu , Wei Zhao , Jianting Zhao , Shisong Li

The global existence of bounded solutions to reaction-diffusion systems with fractional diffusion in the whole space $\mathbb R^N$ is investigated. The systems are assumed to preserve the non-negativity of initial data and to dissipate…

偏微分方程分析 · 数学 2025-02-25 Phuoc-Tai Nguyen , Bao Quoc Tang

This work is concerned with the stability properties of linear stochastic differential equations with random (drift and diffusion) coefficient matrices, and the stability of a corresponding random transition matrix (or exponential…

概率论 · 数学 2019-05-02 Adrian N. Bishop , Pierre Del Moral

Many cyber-physical systems can naturally be formulated as switched systems with constrained switching. This includes systems where one of the signals in the feedback loop may be lost. Possible sources for losses are shared or unreliable…

系统与控制 · 电气工程与系统科学 2024-11-14 Simon Lang , Marc Seidel , Frank Allgöwer

The recently modified Faddeev-Jackiw formalism for systems having one chain of four levels of only second-class constraints is applied to the non-trivial a=1 bosonized chiral Schwinger model in (1+1) dimensions as well as to one mechanical…

数学物理 · 物理学 2008-11-26 Ozlem Defterli , Dumitru Baleanu

We discuss recent advances in the regularity problem of a variety of fluid equations and systems. The purpose is to illustrate the advantage of harmonic analysis techniques in obtaining sharper conditional regularity results when compared…

偏微分方程分析 · 数学 2018-09-19 Mimi Dai , Han Liu

We consider Continuous Linear Programs over a continuous finite time horizon $T$, with linear cost coefficient functions and linear right hand side functions and a constant coefficient matrix, where we search for optimal solutions in the…

最优化与控制 · 数学 2014-08-05 Evgeny Shindin , Gideon Weiss

This correspondence presents an efficient method for reconstructing a band-limited signal in the discrete domain from its crossings with a sine wave. The method makes it possible to design A/D converters that only deliver the crossing…

信息论 · 计算机科学 2016-11-17 J. Selva

This paper presents a general framework for the design of linear controllers for linear systems subject to time-domain constraints. The design framework exploits sums-of-squares techniques to incorporate the time-domain constraints on…

Gaussian processes are a powerful framework for uncertainty-aware function approximation and sequential decision-making. Unfortunately, their classical formulation does not scale gracefully to large amounts of data and modern hardware for…

机器学习 · 计算机科学 2025-07-10 Jihao Andreas Lin

The paper presents a derivation of analytical components of S-matrices for arbitrary planar diffractive structures and metasurfaces in the Fourier domain. Attained general formulas for S-matrix components can be applied within both…

We consider a two-phase Darcy flow in a fractured porous medium consisting in a matrix flow coupled with a tangential flow in the fractures, described as a network of planar surfaces. This flow model is also coupled with the mechanical…

数值分析 · 数学 2021-07-15 Francesco Bonaldi , Konstantin Brenner , Jérôme Droniou , Roland Masson

This paper investigates minimax quadratic programming problems with coupled inequality constraints. By leveraging a duality theorem, we develop a dual algorithm that extends the dual active set method to the minimax setting, transforming…

最优化与控制 · 数学 2025-11-11 Wenhui Ren , Liwei Zhang

We develop a Lagrange multiplier theory for nonconvex set-valued optimization problems under Lipschitz-type regularity conditions. Instead of classical continuous linear functionals, we introduce closed convex processes -- set-valued…

最优化与控制 · 数学 2026-02-09 Fernando García-Castaño , Miguel Ángel Melguizo-Padial

The paper introduces a novel algorithm for computing the output admissible set of linear discrete-time systems subject to input saturation. The proposed method takes advantage of the piecewise-affine dynamics to propagate the output…

最优化与控制 · 数学 2023-11-29 Yaashia Gautam , Marco M. Nicotra

In this paper, we discuss a novel model reduction framework for generalized linear systems. The transfer functions of these systems are assumed to have a special structure, e.g., coming from second-order linear systems and time-delay…

数值分析 · 数学 2019-10-31 Peter Benner , Pawan Goyal , Igor Pontes Duff

In this work, we develop machine learning techniques to study nonperturbative scattering amplitudes. We focus on the two-to-two scattering amplitude of identical scalar particles, setting the double discontinuity to zero as a simplifying…

高能物理 - 理论 · 物理学 2024-12-13 Mehmet Asim Gumus , Damien Leflot , Piotr Tourkine , Alexander Zhiboedov

Assuming the validity of random matrices for describing the statistics of a closed chaotic quantum system, we study analytically some statistical properties of the S-matrix characterizing scattering in its open counterpart. In the first…

介观与纳米尺度物理 · 物理学 2016-08-31 Yan. V. Fyodorov , H. -J. Sommers