Results 141 to 150 of about 1,874,872 (323)

Differential properties of matrix orthogonal polynomials

open access: yes, 2002
In this paper a general theory of semi-classical matrix orthogonal polynomials is developed. We define the semi-classical linear functionals by means of a distributional equation $D(u A) = u B,$ where $A$ and $B$ are matrix polynomials. Several characterizations for these semi-classical functionals are given in terms of the corresponding (left) matrix ...
Cantero, M. J., Moral, L., Velazquez, L.
openaire   +2 more sources

New views of some invariants associated with the Cartesian 2D velocity gradient tensor

open access: yesQuarterly Journal of the Royal Meteorological Society, EarlyView.
Vorticity and divergence of horizontal flow are fundamental quantities in meteorology; both are linear functions of the four elements of the 2D velocity gradient tensor and both are formally unchanged under coordinate rotation. We explore four quadratic functions of the elements that are geometrically invariant in this sense, finding some novel ...
I. Roulstone, S. A. Clough, A. A. White
wiley   +1 more source

Propagation of internal gravity waves: Optimal vertical discretisation and grid design based on numerical error analysis

open access: yesQuarterly Journal of the Royal Meteorological Society, EarlyView.
An energy‐conserving discrete framework for the vertical discretisation of stratified ocean models is developed using internal gravity‐wave theory. A β$$ \beta $$‐indexed family of schemes is analysed through perturbation theory, revealing optimal parameter choices and grid designs that reduce truncation errors significantly.
Gabriel Derrida   +3 more
wiley   +1 more source

New Tools for Tuning PID Controllers Using Orthogonal Polynomials

open access: yesIEEE Access
This paper presents an algorithm to determine PID controller tuning regions that guarantee the stability of closed-loop control systems using the pole placement method, assigning a known robustly stable polynomial that depends on a vector of uncertain ...
Alejandro Arceo   +3 more
doaj   +1 more source

Farmers’ Preferences for Sustainable Crop Protection: An Integrated Choice and Latent Variable Approach

open access: yesSustainable Development, EarlyView.
ABSTRACT This study analyzes farmers' preferences for sustainable crop protection, focusing on Integrated Pest Management (IPM) practices by incorporating social‐psychological factors to capture economic and behavioral dimensions. Using data from German and Polish potato farmers, we apply an integrated choice and latent variable framework that combines
Philip K. Miriti   +3 more
wiley   +1 more source

Dynamic Interactions Among Climate, Land, Energy, and Water Systems: Insights From a Panel Vector Autoregression Approach

open access: yesSustainable Development, EarlyView.
ABSTRACT This study examines the dynamic interactions among climate conditions, land use, energy consumption, water resources, population dynamics, and economic growth within the Climate–Land–Energy–Water (CLEW) nexus across 137 countries from 2000 to 2023.
Kingsley Imandojemu   +4 more
wiley   +1 more source

Orthogonal Polynomial Approximation for Matrix Log Normalization in Global Covariance Pooling [PDF]

open access: green
Md Rifat Ur Rahman   +4 more
openalex   +1 more source

Three‐Dimensional Optical and Computational Reconstruction of Colloidal Electrokinetic Flows via Multiplane Imaging and Multiscale Modeling

open access: yesSmall, EarlyView.
Fast 3D multiplane microscopy is combined with multiscale electrokinetic modeling to reconstruct nanoparticle motion around quadrupolar electrodes. This integrated optical‐computational framework reveals the full three‐dimensional structure of colloidal electrokinetic flows, including localized trapping, depletion layers, and complex vortical motion ...
Flip de Jong   +23 more
wiley   +1 more source

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