Spectral method of electrical circuits accelerated simulation with thyristors
Elektrotehnìka ta Elektroenergetika, 2023 Purpose. The development of transient processes calculation method in electric circuits with thyristors based on the use of functions approximation by orthogonal polynomials. Methodology.
S.M. Tykhovod +3 more
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مجلة العلوم البحتة والتطبيقية, 2020 The connection between different classes of special functions is a very important aspect in establishing new properties of the related classical functions that is they can inherit the properties of each other. Here we show how the Hermite polynomials are
Haniyah Saed Ben Hamdin
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Bernstein spectral method for quasinormal modes and other eigenvalue problems
European Physical Journal C: Particles and Fields, 2023 Spectral methods are now common in the solution of ordinary differential eigenvalue problems in a wide variety of fields, such as in the computation of black hole quasinormal modes.
Sean Fortuna, Ian Vega
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ACCURACY EVALUATION OF BOUNDARY CHARACTERISTIC ORTHOGONAL POLYNOMIALS (BCOPs) IN DETERMINING STATIC AND DYNAMIC RESPONSES OF THIN RECTANGULAR PLATES WITH OPENINGS [PDF]
Journal of Structural and Construction Engineering, 2019 In this article, the efficiency of Boundary Characteristic Orthogonal Polynomials (BCOPs) in analyzing the static and dynamic behavior of thin rectangular plates with openings versus the Finite Element Method (FEM) and the analytical solutions (if they ...
Ali Nikkhoo +2 more
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Spectral Analysis of Certain Schr\"odinger Operators [PDF]
, 2012 The $J$-matrix method is extended to difference and $q$-difference operators and is applied to several explicit differential, difference, $q$-difference and second order Askey-Wilson type operators. The spectrum and the spectral measures are discussed in
Ismail, Mourad E. H., Koelink, Erik
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Acta Polytechnica, 2016 The aim of this paper is to make an explicit link between the Weyl-orbit functions and the corresponding polynomials, on the one hand, and to several other families of special functions and orthogonal polynomials on the other.
Jiri Hrivnak, Lenka Motlochova
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Quantum communication through a spin chain with interaction determined by a Jacobi matrix [PDF]
, 2009 We obtain the time-dependent correlation function describing the evolution of a single spin excitation state in a linear spin chain with isotropic nearest-neighbour XY coupling, where the Hamiltonian is related to the Jacobi matrix of a set of orthogonal
Chakrabarti, R., Van der Jeugt, J.
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The wavelet-NARMAX representation : a hybrid model structure combining polynomial models with multiresolution wavelet decompositions [PDF]
, 2005 A new hybrid model structure combing polynomial models with multiresolution wavelet decompositions is introduced for nonlinear system identification.
Billings SA +25 more
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Varying discrete Laguerre-Sobolev orthogonal polynomials: Asymptotic behavior and zeros [PDF]
, 2013 We consider a varying discrete Sobolev inner product involving the Laguerre weight. Our aim is to study the asymptotic properties of the corresponding orthogonal polynomials and of their zeros. We are interested in Mehler-Heine type formulas because they
Marcellán Español, Francisco José +2 more
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Microscopic spectra of dirac operators and finite-volume partition functions [PDF]
, 1998 Exact results from random matrix theory are used to systematically analyse the relationship between microscopic Dirac spectra and finite-volume partition functions.
Akemann +19 more
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