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This paper investigates the problem of reconstructing a random source from statistical phaseless data for the two-dimensional Helmholtz equation. The major challenge of this problem is non-uniqueness, which we overcome through a reference…

Numerical Analysis · Mathematics 2025-09-01 Qiao-Ping Chen , Hongyu Liu , Zejun Sun , Li-Li Wang , Guang-Hui Zheng

In this article we present an approach that enables joint wind speed and wind power forecasts for a wind park. We combine a multivariate seasonal time varying threshold autoregressive moving average (TVARMA) model with a power threshold…

Applications · Statistics 2016-06-03 Florian Ziel , Carsten Croonenbroeck , Daniel Ambach

This paper presents a new active power control algorithm designed to maximize the power reserve of the individual turbines in a farm, in order to improve the tracking accuracy of a power reference signal. The control architecture is based…

Fluid Dynamics · Physics 2023-07-11 Simone Tamaro , Carlo L. Bottasso

This paper is concerned with the inverse problem of determining the time and space dependent source term of diffusion equations with constant-order time-fractional derivative in $(0,2)$. We examine two different cases. In the first one, the…

Analysis of PDEs · Mathematics 2021-06-28 Yavar Kian , Eric Soccorsi , Qi Xue , Masahiro Yamamoto

Global magnetohydrodynamic (MHD) models play an important role in the infrastructure of space weather forecasting. Validating such models commonly utilizes in situ solar wind measurements made near the orbit of the Earth. The purpose of…

Solar and Stellar Astrophysics · Physics 2024-10-31 Chin-Chun Wu , Kan Liou , Brian E. Wood , Y. M. Wang

We consider the inverse source problem of determining a source term depending on both time and space variable for fractional and classical diffusion equations in a cylindrical domain from boundary measurements. With suitable boundary…

Analysis of PDEs · Mathematics 2020-01-08 Yavar Kian , Masahiro Yamamoto

In this study, we leverage SCADA data from diverse wind turbines to predict power output, employing advanced time series methods, specifically Functional Neural Networks (FNN) and Long Short-Term Memory (LSTM) networks. A key innovation…

We introduce a new formulation for differential equation describing dynamics of measures on an Euclidean space, that we call Measure Differential Equations with sources. They mix two different phenomena: on one side, a transport-type term,…

Analysis of PDEs · Mathematics 2018-09-11 Benedetto Piccoli , Francesco Rossi

In this paper, we address the issue of short-term wind speed prediction at a given site. We show that, when one uses spatiotemporal information as provided by wind data of neighboring stations, one significantly improves the prediction…

Atmospheric and Oceanic Physics · Physics 2022-10-07 Rachel Baïle , Jean-François Muzy

Wind affects the stability and maneuverability of UAVs, which can be particularly dangerous when operating near obstacles or each other. In order to test the effectiveness of formation control laws and the impact of windy environments on…

Optimization and Control · Mathematics 2019-05-27 Kenan Cole , Adam Wickenheiser

The paper proposes a novel general definition of coherency among power system devices of any type. The proposed approach is thus not limited to synchronous machines. With this aim, the paper shows that coherency can be formally based on the…

Systems and Control · Electrical Eng. & Systems 2025-11-05 Ignacio Ponce , Rodrigo Bernal , Federico Milano

This letter describes a new phenomenon on the Parker Solar Probe of recurring plasma density enhancements that have $\Delta$n/n ~10% and that occur at a repetition rate of ~5 Hz. They were observed sporadically for about five hours between…

Solar and Stellar Astrophysics · Physics 2023-08-01 F. S. Mozer , O. Agapitov , S. D. Bale , R. Livi , O. Romeo , K. Sauer , I. Y. Vasko , J. Verniero

This article presents the development of a new wind turbine simulation software to study wake flow physics. To this end, the design and development of waLBerla-wind, a new simulator based on the lattice-Boltzmann method that is known for…

Computational Engineering, Finance, and Science · Computer Science 2024-05-16 Helen Schottenhamml , Ani Anciaux-Sedrakian , Frédéric Blondel , Harald Köstler , Ulrich Rüde

Consider the one-dimensional stochastic Helmholtz equation where the source is assumed to be driven by the white noise. This paper concerns the stability analysis of the inverse random source problem which is to reconstruct the statistical…

Analysis of PDEs · Mathematics 2016-07-25 Peijun Li , Ganghua Yuan

The intermittent behavior of solar wind turbulent fluctuations has often been investigated through the modeling of their probability distribution functions (PDFs). Among others, the Castaing model (Castaing et al. 1990) has successfully…

Space Physics · Physics 2015-07-15 L. Sorriso-Valvo , R. Marino , L. Lijoi , S. Perri , V. Carbone

Probabilistic forecasts of wind speed are important for a wide range of applications, ranging from operational decision making in connection with wind power generation to storm warnings, ship routing and aviation. We present a statistical…

Applications · Statistics 2016-08-06 Michael Scheuerer , David Möller

Pulsar timing arrays can detect continuous nanohertz gravitational waves emitted by individual supermassive black hole binaries. The data analysis procedure can be formulated within a time-domain, state-space framework, in which the radio…

We consider two hypothesis testing problems for low-rank and high-dimensional tensor signals, namely the tensor signal alignment and tensor signal matching problems. These problems are challenging due to the high dimension of tensors and…

Methodology · Statistics 2026-02-10 Ruihan Liu , Zhenggang Wang , Jianfeng Yao

The reliable integration of wind energy into modern-day electricity systems heavily relies on accurate short-term wind forecasts. We propose a spatio-temporal model called AIRU-WRF (short for the AI-powered Rutgers University Weather…

Applications · Statistics 2023-08-31 Feng Ye , Joseph Brodie , Travis Miles , Ahmed Aziz Ezzat

The polarizability measures how the system responds to an applied electrical field. Computationally, there are many different ways to evaluate this tensorial quantity, some of which rely on the explicit use of the external perturbation and…

Materials Science · Physics 2007-10-16 Micael J. T. Oliveira , Alberto Castro , Miguel A. L. Marques , Angel Rubio
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