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Smart distribution grids should efficiently integrate stochastic renewable resources while effecting voltage regulation. The design of energy management schemes is challenging, one of the reasons being that energy management is a multistage…

最优化与控制 · 数学 2016-08-19 Luis M. Lopez-Ramos , Vassilis Kekatos , Antonio G. Marques , Georgios B. Giannakis

In this paper, we investigate the stabilization of a linear Bresse system with one singular local frictional damping acting in the longitudinal displacement, under fully Dirichlet boundary conditions. First, we prove the strong stability of…

偏微分方程分析 · 数学 2021-05-18 Mohammad Akil , Haidar Badawi

Uniformly distributed point sets on the unit sphere with and without symmetry constraints have been found useful in many scientific and engineering applications. Here, a novel variant of the Thomson problem is proposed and formulated as an…

经典物理 · 物理学 2014-08-15 Cheng Guan Koay

Correspondence problems are often modelled as quadratic optimization problems over permutations. Common scalable methods for approximating solutions of these NP-hard problems are the spectral relaxation for non-convex energies and the…

图形学 · 计算机科学 2017-05-18 Nadav Dym , Haggai Maron , Yaron Lipman

Small signal analysis is a special case of analytical approaches using Taylor expansions of power system differential equations with the truncation performed at order one. The truncated Taylor expansions (TTEs) at higher orders can lead to…

系统与控制 · 计算机科学 2018-11-05 Bin Wang , Xin Xu , Kai Sun

We consider the problem of super-resolving the line spectrum of a multisinusoidal signal from a finite number of samples, some of which may be completely corrupted. Measurements of this form can be modeled as an additive mixture of a…

最优化与控制 · 数学 2017-03-23 Carlos Fernandez-Granda , Gongguo Tang , Xiaodong Wang , Le Zheng

We describe a method to track particles undergoing large displacements. Starting with a list of particle positions sampled at different time points, we assign particle identities by minimizing the sum across all particles of the trace of…

软凝聚态物质 · 物理学 2016-09-02 Rostislav Boltyanskiy , Jason W. Merrill , Eric R. Dufresne

Reaction diffusion systems with Turing instability and mass conservation are studied. In such systems, abrupt decays of stripes follow quasi-stationary states in sequence. At steady state, the distance between stripes is much longer than…

斑图形成与孤子 · 物理学 2009-11-11 Shuji Ishihara , Mikiya Otsuji , Atsushi Mochizuki

This paper proposes a linear approximation of the alternating current optimal power flow problem for multiphase distribution networks with voltage-dependent loads connected in both wye and delta configurations. We establish a set of linear…

最优化与控制 · 数学 2024-04-11 Geunyeong Byeon , Minseok Ryu , Kibaek Kim

Phase equilibrium calculation, also known as flash calculation, plays significant roles in various aspects of petroleum and chemical industries. Since Michelsen proposed his milestone studies in 1982, through several decades of development,…

计算物理 · 物理学 2020-08-11 Yuze Zhang , Yiteng Li , Lei Zhang , Shuyu Sun

Previous work established fundamental bounds on subwavelength resolution for the radar range resolution problem, called superradar [Phys. Rev. Appl. 20, 064046 (2023)]. In this work, we identify the optimal waveforms for distinguishing the…

信号处理 · 电气工程与系统科学 2025-02-14 Andrew N. Jordan , John C. Howell , Achim Kempf , Shunxing Zhang , Derek White

We study wave propagation through a one-dimensional array of subwavelength resonators with periodically time-modulated material parameters. Focusing on a high-contrast regime, we use a scattering framework based on Fourier expansions and…

光学 · 物理学 2025-07-16 Erik Orvehed Hiltunen , Liora Rueff

In this work we explore the fidelity of numerical approximations to the analytic spectra of hyperbolic partial differential equation systems with variable coefficients. We are particularly interested in the ability of discrete methods to…

数值分析 · 数学 2025-08-12 Brittany A. Erickson

The inverse problem of backward diffusion is known to be ill-posed and highly unstable. Backward diffusion processes appear naturally in image enhancement and deblurring applications. It is therefore greatly desirable to establish a…

数值分析 · 数学 2020-06-18 Leif Bergerhoff , Marcelo Cárdenas , Joachim Weickert , Martin Welk

A pulsar's pulse profile gets broadened at low frequencies due to dispersion along the line of sight or due to multi-path propagation. The dynamic nature of the interstellar medium makes both of these effects time-dependent and introduces…

We demonstrate a position-sensing technique that relies on the inherent sensitivity of chaos, where we illuminate a subwavelength object with a complex structured radio-frequency field generated using wave chaos and a nonlinear feedback…

混沌动力学 · 物理学 2015-05-30 Seth D. Cohen , Hugo L. D. de S. Cavalcante , Daniel J. Gauthier

This work presented a perturbational decomposition method for simulating quantum evolution under the one-dimensional Ising model with both longitudinal and transverse fields. By treating the transverse field terms as perturbations in the…

量子物理 · 物理学 2024-12-24 Youning Li , Junfeng Huang , Chao Zhang , Jun Li

The method of location and spectral estimation of weak signals on a noise background is being considered. The method is based on the optimized on order and noise dispersion autoregressive model of a sought signal. A new approach of model…

计算工程、金融与科学 · 计算机科学 2007-07-03 Yu. Bunyak , O. Bunyak

We study numerically the overdamped motion of particles driven in a two dimensional ratchet potential. In the proposed design, of the so-called geometrical-ratchet type, the mean velocity of a single particle in response to a constant force…

无序系统与神经网络 · 物理学 2007-05-23 Alejandro B. Kolton

Various numerical methods used for solving partial differential equations (PDE) result in tridiagonal systems. Solving tridiagonal systems on distributed-memory environments is not straightforward, and often requires significant amount of…

分布式、并行与集群计算 · 计算机科学 2025-07-22 Semih Akkurt , Sébastien Lemaire , Paul Bartholomew , Sylvain Laizet
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