On a 2-Orthogonal Polynomial Sequence via Quadratic Decomposition
Sign Up to like & getrecommendations! Published in 2021 at "Mathematics in Computer Science"
DOI: 10.1007/s11786-020-00468-y
Abstract: We apply a symbolic approach of the general quadratic decomposition of polynomial sequences—presented in a previous article referenced herein—to polynomial sequences fulfilling specific orthogonal conditions towards two given functionals $$u_{0},u_{1}$$ u 0 , u 1… read more here.
Keywords: polynomial sequences; orthogonal polynomial; polynomial sequence; quadratic decomposition ... See more keywords
An efficient numerical method to solve 2-D interval bi-modular problems via orthogonal polynomial expansion
Sign Up to like & getrecommendations! Published in 2020 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2020.03.032
Abstract: Abstract An interval analysis of uncertain bi-modular problems is presented by addressing the efficiency of deterministic solution and reduction of computational cost on the non-linear FE iteration. Firstly, the singularity of 2-D conventional bi-modular constitutive… read more here.
Keywords: numerical method; modular problems; orthogonal polynomial; polynomial expansion ... See more keywords
On the formulation of a pipe element II: An orthogonal polynomial pipe element
Sign Up to like & getrecommendations! Published in 2017 at "Ocean Engineering"
DOI: 10.1016/j.oceaneng.2016.11.022
Abstract: Abstract Based on the previous work of the variable wall thickness pipe element Li (2016) , an orthogonal polynomial pipe element is developed in this paper. The orthogonal polynomial theory is applied in the displacement… read more here.
Keywords: polynomial pipe; pipe element; matrix; orthogonal polynomial ... See more keywords
Limit theorems for linear spectrum statistics of orthogonal polynomial ensembles and their applications in random matrix theory
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5006507
Abstract: In this paper, we consider the asymptotic behavior of Xfn(n)≔∑i=1nfn(xi), where xi,i=1,…,n form orthogonal polynomial ensembles and fn is a real-valued, bounded measurable function. Under the condition that VarXfn(n)→∞, the Berry-Esseen (BE) bound and Cramer… read more here.
Keywords: linear spectrum; limit theorems; orthogonal polynomial; spectrum statistics ... See more keywords
Moments of discrete orthogonal polynomial ensembles
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DOI: 10.1214/20-ejp472
Abstract: We obtain factorial moment identities for the Charlier, Meixner and Krawtchouk orthogonal polynomial ensembles. Building on earlier results by Ledoux [Elect. J. Probab. 10, (2005)], we find hypergeometric representations for the factorial moments when the… read more here.
Keywords: discrete orthogonal; moments discrete; factorial moments; polynomial ensembles ... See more keywords
Application of Orthogonal Polynomial in Orthogonal Projection of Algebraic Surface
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DOI: 10.3390/axioms11100544
Abstract: Point orthogonal projection onto an algebraic surface is a very important topic in computer-aided geometric design and other fields. However, implementing this method is currently extremely challenging and difficult because it is difficult to achieve… read more here.
Keywords: orthogonal polynomial; orthogonal projection; algebraic surface; point ... See more keywords
Application of the Orthogonal Polynomial Fitting Method in Estimating PM2.5 Concentrations in Central and Southern Regions of China
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Environmental Research and Public Health"
DOI: 10.3390/ijerph16081418
Abstract: Sufficient and accurate air pollutant data are essential to analyze and control air contamination problems. An orthogonal polynomial fitting (OPF) method using Chebyshev basis functions is introduced to produce spatial distributions of fine particle (PM2.5)… read more here.
Keywords: pm2 concentrations; method; orthogonal polynomial; opf method ... See more keywords
Model Predictive Control of Nonlinear MIMO Systems Based on Adaptive Orthogonal Polynomial Networks
Sign Up to like & getrecommendations! Published in 2021 at "Elektronika Ir Elektrotechnika"
DOI: 10.5755/j02.eie.28780
Abstract: This paper considers a new design of model predictive control based on specific models in the form of adaptive orthogonal polynomial networks, built around a specially tailored basis of generalized orthogonal functions. Polynomial model has… read more here.
Keywords: adaptive orthogonal; control; predictive control; model predictive ... See more keywords