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Accurate high-resolution spatial and temporal wind speed data is critical for estimating the wind energy potential of a location. For real-time wind speed prediction, statistical models typically depend on high-quality (near) real-time data…

Applications · Statistics 2026-02-24 Eamonn Organ , Maeve Upton , Denis Allard , Lionel Benoit , James Sweeney

The growth of wind generation capacities in the past decades has shown that wind energy can contribute to the energy transition in many parts of the world. Being highly variable and complex to model, the quantification of the…

Signal Processing · Electrical Eng. & Systems 2022-07-19 Federico Amato , Fabian Guignard , Alina Walch , Nahid Mohajeri , Jean-Louis Scartezzini , Mikhail Kanevski

Estimating the region of attraction for partially unknown nonlinear systems is a challenging issue. In this paper, we propose a tractable method to generate an estimated region of attraction with probability bounds, by searching an optimal…

Systems and Control · Electrical Eng. & Systems 2022-03-21 Hejun Huang , Dongkun Han

We study the inverse boundary value problem for the wave equation using the single-layer potential operator as the data. We assume that the data have frequency content in a bounded interval. We prove how to choose classes of nonsmooth…

Analysis of PDEs · Mathematics 2017-05-12 Kiril Datchev , Maarten V. de Hoop

We present an iterative method to obtain approximations to Bessel functions of the first kind $J_p(x)$ ($p>-1$) via the repeated application of an integral operator to an initial seed function $f_0(x)$. The class of seed functions $f_0(x)$…

Mathematical Physics · Physics 2015-03-17 Santos Bravo Yuste , Enrique Abad

An efficient proximal-gradient-based method, called proximal extrapolated gradient method, is designed for solving monotone variational inequality in Hilbert space. The proposed method extends the acceptable range of parameters to obtain…

Optimization and Control · Mathematics 2019-12-05 Xiaokai Chang , Sanyang Liu , Jianchao Bai , Jun Yang

A comprehensive statistical model for vertical profiles of the horizontal wind and temperature throughout the troposphere is presented. The model is based on radiosonde measurements of wind and temperature during several years. The profiles…

Atmospheric and Oceanic Physics · Physics 2010-12-21 A. Virtser , Yu. Shtemler , E. Golbraikh

When implementing regular enough functions (e.g., elementary or special functions) on a computing system, we frequently use polynomial approximations. In most cases, the polynomial that best approximates (for a given distance and in a given…

Mathematical Software · Computer Science 2007-05-23 Nicolas Brisebarre , Jean-Michel Muller

Integrating wind power into the grid is challenging because of its random nature. Integration is facilitated with accurate short-term forecasts of wind power. The paper presents a spatio-temporal wind speed forecasting algorithm that…

Systems and Control · Computer Science 2015-03-05 Borhan M. Sanandaji , Akin Tascikaraoglu , Kameshwar Poolla , Pravin Varaiya

Adjusting ocean wind observations to a standard height, usually 10 m, requires the use of a boundary layer model, and knowledge of the thermodynamical variables. Height adjustment is complicated by the fact that a necessary parameter, the…

Atmospheric and Oceanic Physics · Physics 2011-07-08 Ross N. Hoffman

Accurate production forecasts are essential to continue facilitating the integration of renewable energy sources into the power grid. This paper illustrates how to obtain probabilistic day-ahead forecasts of wind power generation via…

Machine Learning · Computer Science 2026-02-16 Max Bruninx , Diederik van Binsbergen , Timothy Verstraeten , Ann Nowé , Jan Helsen

Wind energy is becoming an increasingly crucial component of a sustainable grid, but its inherent variability and limited predictability present challenges for grid operators. The energy sector needs novel forecasting techniques that can…

Applications · Statistics 2023-12-05 Zheng Dong , Hanyu Zhang , Shixiang Zhu , Yao Xie , Pascal Van Hentenryck

Reliable probabilistic production forecasts are required to better manage the uncertainty that the rapid build-out of wind power capacity adds to future energy systems. In this article, we consider sequential methods to correct errors in…

The transition from conventional methods of energy production to renewable energy production necessitates better prediction models of the upcoming supply of renewable energy. In wind power production, error in forecasting production is…

Machine Learning · Computer Science 2021-08-24 Alagappan Swaminathan , Venkatakrishnan Sutharsan , Tamilselvi Selvaraj

A bivariate ensemble model output statistics (EMOS) technique for the postprocessing of ensemble forecasts of two-dimensional wind vectors is proposed, where the postprocessed probabilistic forecast takes the form of a bivariate normal…

Applications · Statistics 2015-06-03 Nina Schuhen , Thordis L. Thorarinsdottir , Tilmann Gneiting

We examine two means by which wind can impart energy to waves: sheltering and deposition of material upwards from windward surface shear. The shear driven deposition is shown to be the more efficient process. Lengthening of waves to match…

Atmospheric and Oceanic Physics · Physics 2014-08-28 Clifford Chafin

An adaptive interpolation scheme is proposed to accurately calculate the wideband responses in electromagnetic simulations. In the proposed scheme, the sampling points are first carefully divided into several groups based on their responses…

Computational Engineering, Finance, and Science · Computer Science 2022-03-14 Kai Zhu , Jinhui Wang , Shunchuan Yang

Considered here is an efficient technique to compute approximate profiles of solitary wave solutions of fractional Korteweg-de Vries equations. The numerical method is based on a fixed-point iterative algorithm along with extrapolation…

Numerical Analysis · Mathematics 2017-04-28 A. Duran

This work proposes and analyzes a compressed sensing approach to polynomial approximation of complex-valued functions in high dimensions. Of particular interest is the setting where the target function is smooth, characterized by a rapidly…

Numerical Analysis · Mathematics 2020-01-22 Abdellah Chkifa , Nick Dexter , Hoang Tran , Clayton G. Webster

We provide a robust and general algorithm for computing distribution functions associated to induced orthogonal polynomial measures. We leverage several tools for orthogonal polynomials to provide a spectrally-accurate method for a broad…

Numerical Analysis · Mathematics 2017-04-28 Akil Narayan