Results 51 to 60 of about 18,676 (205)

Coupling Fluid Neutrals to Gyrokinetic Plasma Dynamics for Edge and SOL Turbulence Simulations

Contributions to Plasma Physics, EarlyView.
ABSTRACT Accurate modeling of turbulent transport in magnetic confinement fusion devices requires extending first‐principles gyrokinetic simulations from the core to the edge and scrape‐off layer (SOL), where additional physics—particularly plasma–neutrals interactions—must be included.
Sabine Ogier‐Collin, Philipp Ulbl, Wladimir Zholobenko, Frank Jenko   +3 more
wiley   +1 more source

Meixner polynomials of the second kind and quantum algebras representing su(1,1)

, 2009
We show how Viennot's combinatorial theory of orthogonal polynomials may be used to generalize some recent results of Sukumar and Hodges on the matrix entries in powers of certain operators in a representation of su(1,1).
Chihara T. S., Klimyk A. U., Koelink E., Stanton D.   +3 more
core   +1 more source

Edge‐Based Discretizations on Triangulations in Any Dimension, With Special Attention to Four‐Dimensional Space

International Journal for Numerical Methods in Fluids, EarlyView.
This article provides important geometric formulas for node‐centered, edge‐based schemes in any number of dimensions. These formulas are noteworthy, as they do not require the explicit formation of dual regions. We prove several key geometric results, with a particular focus on the four‐dimensional case, due to potential space‐time applications ...
Nicholas Tufillaro, David M. Williams, Hiroaki Nishikawa   +2 more
wiley   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Comparison between the Propagation Properties of Bessel–Gauss and Generalized Laguerre–Gauss Beams

Photonics, 2023
The connections between Laguerre–Gauss and Bessel–Gauss beams, and between Hermite–Gauss and cosine-Gauss beams are investigated. We review different asymptotic expressions for generalized Laguerre and Hermite polynomials of large radial/transverse order.
Colin J. R. Sheppard, Miguel A. Porras
doaj   +1 more source

Finite Biorthogonal Polynomials Suggested by the Finite Orthogonal Polynomials Mnp,qx$$ {M}_n^{\left(p,q\right)}(x) $$

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Constructing a biorthogonal structure from scratch, that is, defining a biorthogonal pair is quite tough. Because here the orthogonality must be established between two different sets. There are four known univariate biorthogonal polynomial sets, suggested by Laguerre, Jacobi, Hermite and Szegő‐Hermite polynomials, in the literature.
Esra Güldoğan Lekesiz
wiley   +1 more source

A conjecture on Exceptional Orthogonal Polynomials [PDF]

, 2012
Exceptional orthogonal polynomial systems (X-OPS) arise as eigenfunctions of Sturm-Liouville problems and generalize in this sense the classical families of Hermite, Laguerre and Jacobi. They also generalize the family of CPRS orthogonal polynomials.
A. González-López, A. Ronveaux, A. Ronveaux, A. Turbiner, B. Midya, C. Quesne, C. Quesne, C. Quesne, C.-L. Ho, C.-L. Ho, D. Dutta, D. Dutta, D. Gómez-Ullate, D. Gómez-Ullate, D. Gómez-Ullate, D. Gómez-Ullate, D. Gómez-Ullate, D. Gómez-Ullate, D. Gómez-Ullate, D. Gómez-Ullate, D. Gómez-Ullate, David Gómez-Ullate, F.A. Grünbaum, G. Szegő, J.F. Cariñena, J.M. Fellows, L.E. Gendenshtein, M.G. Krein, M.M. Crum, N. Kamran, Niky Kamran, P. Lesky, R. Sasaki, Robert Milson, S. Bochner, S. Odake, S. Odake, S. Odake, S.Y. Dubov, V.B. Uvarov, V.E. Adler, W.N. Everitt, Y. Grandati   +42 more
core   +2 more sources

Matrix Valued Laguerre Polynomials [PDF]

, 2019
20 pages, to appear in Positivity and Noncommutative Analysis Festschrift in Honour of Ben de Pagter (eds. G. Buskes, M. de Jeu, P. Dodds, A. Schep, F. Sukochev, J. van Neerven and A. Wickstead)
Koelink, H.T., Roman, P.M.
openaire   +3 more sources

Financial Statement Information and Equity Value: The Role of Real Options Characteristics

Financial Management, Volume 55, Issue 2, Page 301-328, Summer 2026.
ABSTRACT This paper examines whether firm‐specific real options characteristics are equity value‐relevant beyond valuation estimates anchored in financial statements. Using extensive historical data for the United Kingdom, we assess and compare the forecast accuracy and explanatory power for stock prices of equity valuation models based on residual ...
Mingyu (Chandler) Chen, Colin Clubb, Tarik Driouchi   +2 more
wiley   +1 more source

Two Efficient Generalized Laguerre Spectral Algorithms for Fractional Initial Value Problems

Abstract and Applied Analysis, 2013
We present a direct solution technique for approximating linear multiterm fractional differential equations (FDEs) on semi-infinite interval, using generalized Laguerre polynomials.
D. Baleanu, A. H. Bhrawy, T. M. Taha
doaj   +1 more source