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Accurate estimates of wind speeds at wind turbine hub heights are crucial for both wind resource assessment and day-to-day management of electricity grids with high renewable penetration. In the absence of direct measurements, parametric…

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

Wind speed forecasting has received a lot of attention in the recent past from researchers due to its enormous benefits in the generation of wind power and distribution. The biggest challenge still remains to be accurate prediction of wind…

Applications · Statistics 2022-03-29 Dennis Cheruiyot Kiplangat , G. V. Drisya , K. Satheesh Kumar

A systematic and full description of the theory for a dissipation mechanism of wind wave energy in a spectral representation is given. As a basis of the theory, the fundamental is stated that the most general dissipation mechanism for wind…

Atmospheric and Oceanic Physics · Physics 2010-06-21 Vladislav G. Polnikov

In this paper, we consider the problem of computing estimates of the domain-of-attraction for non-polynomial systems. A polynomial approximation technique, based on multivariate polynomial interpolation and error analysis for remaining…

Symbolic Computation · Computer Science 2015-06-15 Min Wu , Zhengfeng Yang , Wang Lin

Atmospheric near surface wind speed and wind direction play an important role in many applications, ranging from air quality modeling, building design, wind turbine placement to climate change research. It is therefore crucial to accurately…

Applications · Statistics 2024-11-28 Eva Murphy , Whitney Huang , Julie Bessac , Jiali Wang , Rao Kotamarthi

New methods are proposed for adjusting probabilistic forecasts to ensure coherence with the aggregation constraints inherent in temporal hierarchies. The different approaches nested within this framework include methods that exploit…

Methodology · Statistics 2020-08-18 Jooyoung Jeon , Anastasios Panagiotelis , Fotios Petropoulos

In this paper, we consider the integrating factor midpoint method for wave-type equations and derive optimal order a posteriori error estimates. We first introduce an integrating factor midpoint approximation defined by the piecewise linear…

Numerical Analysis · Mathematics 2026-03-03 Xianfa Hu , Fazhan Geng , Wansheng Wang

We offer a new method for determining the wind source term for energy and momentum fluxes transfer from the atmosphere to the wind-driven sea. This new source-term formulation is based on extensive analysis of experimental data collected at…

Atmospheric and Oceanic Physics · Physics 2012-12-06 V. E. Zakharov , D. Resio , A. Pushkarev

This work characterizes the structure of third and forth order WENO weights by deducing data bounded condition on third order polynomial approximations. Using these conditions, non-linear weights are defined for third and fourth order data…

Numerical Analysis · Mathematics 2021-10-22 Sabana Parvin , Ritesh Kumar Dubey

This letter proposes a data-driven method for estimating the probability of wind ramping events without exploiting the exact probability distribution function (PDF) of wind power. Actual wind data validates the proposed method.

Optimization and Control · Mathematics 2016-03-23 Cheng Wang , Wei Wei , Jianhui Wang , Feng Qiu

The runup of initial Gaussian narrow-banded and wide-banded wave fields and its statistical characteristics are investigated using direct numerical simulations, based on the nonlinear shallow water equations. The bathymetry consists of the…

Atmospheric and Oceanic Physics · Physics 2020-06-26 Ahmed Abdalazeez , Ira Didenkulova , Denys Dutykh , Céline Labart

Nowadays, wind power is considered as one of the most widely used renewable energy applications due to its efficient energy use and low pollution. In order to maintain high integration of wind power into the electricity market, efficient…

Signal Processing · Electrical Eng. & Systems 2020-10-16 Ephrem Admasu Yekun , Alem Haddush Fitwi , S. Karpaga Selvi , Anubhav Kumar

The rapid uptake of renewable energy technologies in recent decades has increased the demand of energy researchers, policymakers and energy planners for reliable data on the spatial distribution of their costs and potentials. For onshore…

We consider wave propagation problems over 2-dimensional domains with piecewise-linear boundaries, possibly including scatterers. We assume that the wave speed is constant, and that the initial conditions and forcing terms are radially…

Numerical Analysis · Mathematics 2025-03-14 Davide Pradovera , Monica Nonino , Ilaria Perugia

The issue of the equilibrium-range formation in the wind-wave spectrum is studied by a direct numerical simulation. The evolution equation of wind-wave spectrum is numerically solved with using an exact calculation of the Hasselmann kinetic…

Atmospheric and Oceanic Physics · Physics 2017-01-20 Vladislav Polnikov

The increasing interest in renewable energy, particularly in wind, has given rise to the necessity of accurate models for the generation of good synthetic wind speed data. Markov chains are often used with this purpose but better models are…

Data Analysis, Statistics and Probability · Physics 2012-09-10 Guglielmo D'Amico , Filippo Petroni , Flavio Prattico

We present a regime-switching vector-autoregressive method for very-short-term wind speed forecasting at multiple locations with regimes based on large-scale meteorological phenomena. Statistical methods short-term wind forecasting…

Applications · Statistics 2018-05-31 Jethro Browell , Daniel R. Drew , Kostas Philippopoulos

This paper proposes a method to generalize the equations estimating the inductance of square-shape planar windings to rectangle shape. This is done by utilizing the optimal p-norm of the Generalized Mean Value or Power Mean (PM). Three…

Systems and Control · Electrical Eng. & Systems 2025-07-24 Theofilos Papadopoulos , Antonios Antonopoulos

Richardson extrapolation is applied to a simple first-order upwind difference scheme for the approximation of solutions of singularly perturbed convection-diffusion problems in one dimension. Robust a posteriori error bounds are derived for…

Numerical Analysis · Mathematics 2023-08-07 Torsten Linß , Goran Radojev

In this work, an efficient approximation scheme has been proposed for getting accurate approximate solution of nonlinear partial differential equations with constant or variable coefficients satisfying initial conditions in a series of…

Analysis of PDEs · Mathematics 2020-09-04 Prakash Kumar Das , M. M. Panja