Results 101 to 110 of about 71,879 (309)

On the Behavior of Two C1 Finite Elements Versus Anisotropic Diffusion

International Journal for Numerical Methods in Fluids, EarlyView.
Bi‐cubic Hemite‐Bézier and reduced cubic Hsieh‐Clough‐Tocher finite elements, of class C1, are compared for the solution of a highly anisotropic diffusion equation. They are tested numerically for various ratios of the diffusion coefficients on different meshes, even aligned with the anisotropy.
Blaise Faugeras, Hervé Guillard, Boniface Nkonga, Francesca Rapetti   +3 more
wiley   +1 more source

On the spectrum of tridiagonal matrices with two-periodic main diagonal

Special Matrices
We find the spectrum and eigenvectors of an arbitrary irreducible complex tridiagonal matrix with two-periodic main diagonal. This is expressed in terms of the spectrum and eigenvectors of the matrix with the same sub- and superdiagonals and zero main ...
Dyachenko Alexander, Tyaglov Mikhail
doaj   +1 more source

Discrete Entropies of Chebyshev Polynomials

Mathematics
Because of its flexibility and multiple meanings, the concept of information entropy in its continuous or discrete form has proven to be very relevant in numerous scientific branches. For example, it is used as a measure of disorder in thermodynamics, as
Răzvan-Cornel Sfetcu, Sorina-Cezarina Sfetcu, Vasile Preda   +2 more
doaj   +1 more source

Equilibria of `Discrete' Integrable Systems and Deformations of Classical Orthogonal Polynomials

, 2004
The Ruijsenaars-Schneider systems are `discrete' version of the Calogero-Moser (C-M) systems in the sense that the momentum operator p appears in the Hamiltonians as a polynomial in e^{\pm\beta' p} (\beta' is a deformation parameter) instead of an ...
Andrews G E, Awata H, Bordner A J, Calogero F, Calogero F, Calogero F, Calogero F, Chihara T S, Corrigan E, Jing S Yang W, Khastgir S P, Koekoek R Swarttouw R F, M Ruijsenaars S N, Macdonald I G, Mimachi K, Moser J, Moser J, Odake S, R Sasaki, Ragnisco O, S Odake, Sasaki R, Shiraishi J, Stanley R P, Sutherland B, Szegö G, van Diejen J F, van Diejen J F, van Diejen J F, van Diejen J F   +29 more
core   +3 more sources

From Krall discrete orthogonal polynomials to Krall polynomials

Journal of Mathematical Analysis and Applications, 2017
We show how to get Krall polynomials from Krall discrete polynomials using a procedure of passing to the limit in some of the parameters of the family. We also show that this procedure has to be different to the standard one used in the Askey scheme to go from the classical discrete polynomials to the classical polynomials.
openaire   +3 more sources

Murine Supraspinatus Tendons Demonstrate Aging‐Related Changes in Multiscale Mechanics, Structure, and Gene Expression

Journal of Orthopaedic Research, EarlyView.
ABSTRACT Rotator cuff disorders are common in the aging population, often leading to pain, disability, and reduced quality of life. Age‐associated changes can occur disproportionately in regions of high mechanical stress, such as the insertion site of the supraspinatus tendon, leading to increased injury rates and tendinopathies.
Michael S. DiStefano, Jeremy D. Eekhoff, Stephanie N. Weiss, Courtney A. Nuss, Rebecca L. Betts, Andrew F. Kuntz, Louis J. Soslowsky   +6 more
wiley   +1 more source

Efficient algorithms for construction of recurrence relations for the expansion and connection coefficients in series of quantum classical orthogonal polynomials

Journal of Advanced Research, 2010
Formulae expressing explicitly the q-difference derivatives and the moments of the polynomials Pn(x ; q) ∈ T (T ={Pn(x ; q) ∈ Askey–Wilson polynomials: Al-Salam-Carlitz I, Discrete q-Hermite I, Little (Big) q-Laguerre, Little (Big) q-Jacobi, q-Hahn ...
Eid H. Doha, Hany M. Ahmed
doaj   +1 more source

On the ω-multiple Meixner polynomials of the first kind

Journal of Inequalities and Applications, 2020
In this study, we introduce a new family of discrete multiple orthogonal polynomials, namely ω-multiple Meixner polynomials of the first kind, where ω is a positive real number.
Sonuç Zorlu Oğurlu, İlkay Elidemir
doaj   +1 more source

Discrete orthogonal polynomials associated with Macdonald functions

The Ramanujan Journal, 2022
New sequences of discrete orthogonal polynomials associated with the modified Bessel function $K_ (z)$ or Macdonald function are considered. The corresponding weight function is $ ^k _{k+ +1}(t)/ k!$, where $\ k \in \mathbb{N}_0, \ t \ge 0,\ > -1,\ 0 < < 1,\ _ (z) = 2 z^{ /2} K_ \left( 2\sqrt z\right)$.
openaire   +2 more sources

Identity‐Enabled CDMA LiDAR for Massively Parallel Ranging with a Single‐Element Receiver

Laser &Photonics Reviews, EarlyView.
A novel LiDAR system integrates CDMA modulation with a single‐element detector to achieve massive channel parallel 3D imaging. By using a user identification code and a correlation‐based feedback loop, it overcomes signal collisions and the near‐far problem.
Yixiu Shen, Zi Heng Lim, Guangya Zhou
wiley   +1 more source