Results 91 to 100 of about 71,879 (309)

Zeros of classical orthogonal polynomials of a discrete variable [PDF]

Mathematics of Computation, 2012
In this paper we obtain sharp bounds for the zeros of classical orthogonal polynomials of a discrete variable, considered as functions of a parameter, by using a theorem of A. Markov and the so-called HellmannFeynman theorem. Comparisons with previous results for zeros of Hahn, Meixner, Kravchuk and Charlier polynomials are also presented.
Area, Ivan, Dimitrov, Dimitar K., Godoy, Eduardo, Paschoa, Vanessa G.   +3 more
openaire   +4 more sources

Convergence properties of dynamic mode decomposition for analytic interval maps

Communications on Pure and Applied Mathematics, EarlyView.
Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji, Julia Slipantschuk, Oscar F. Bandtlow, Wolfram Just   +3 more
wiley   +1 more source

Dimer models and conformal structures

Communications on Pure and Applied Mathematics, EarlyView.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala, Erik Duse, István Prause, Xiao Zhong   +3 more
wiley   +1 more source

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source

On the asymptotics of orthogonal polynomials on the curve with a denumerable mass points

Journal of Numerical Analysis and Approximation Theory, 2007
We investigate the asymptotic behavior of orthogonal polynomials with respect to a measure of the type \(\sigma =\alpha +\gamma \), where \(\alpha \) is a measure concentrated on a rectifiable Jordan curve and \(\gamma \) is an infinite discrete measure.
Khaldi Rabah, Aggoune Fateh
doaj   +2 more sources

A high accuracy numerical method based on spectral theory of compact operator for biharmonic eigenvalue equations

Journal of Inequalities and Applications, 2016
In this study, a high accuracy numerical method based on the spectral theory of compact operator for biharmonic eigenvalue equations on a spherical domain is developed.
Zhendong Luo
doaj   +1 more source

Semi-classical Laguerre polynomials and a third order discrete integrable equation

, 2009
A semi-discrete Lax pair formed from the differential system and recurrence relation for semi-classical orthogonal polynomials, leads to a discrete integrable equation for a specific semi-classical orthogonal polynomial weight. The main example we use is
Christoffel E B, Darboux G, Forrester P J Witte N S, Forrester P J Witte N S, Frank W Nijhoff, Freud G, Grammaticos B, Laguerre E, Laguerre E, Laguerre E, Lax P D, Magnus A P, Paul E Spicer   +12 more
core   +3 more sources

Surface Smoothing Based on Discrete Orthogonal Polynomial

CAD'24
Lei Lu, Ning Li, Wei Pan, Wenming Tang
openaire   +2 more sources

Numerical and experimental study on P‐wave propagation across a rock joint with different orientations

Deep Underground Science and Engineering, EarlyView.
Joint orientation significantly affects P‐wave velocity, with the highest velocity at zero‐degree angles, decreasing to 30° as the angle increases. The velocity increases slightly from 30 to 45 degrees but sharply decreases from 45 to 90 degrees. Abstract Determination of the required parameters in different science contexts using the ultrasonic wave ...
Yaghoob Zarei, Mojtaba D. fallahi, Ali Uromeihy, Mohammad R. Nikoodel, Mohammad Fathollahy   +4 more
wiley   +1 more source

Multi‐Objective Optimization of Phase Change Coupled Thermal Management System Based on NSWOA

ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.
NSWOA‐optimized liquid‐PCM hybrid cooling reduces 18 650 pack Tmax by 5.9 K and ΔT to 4.7 K at 4 °C discharge, validated within 1.5 K error; non‐uniform cell placement and key PCM properties are balanced for safety. This study investigates phase change materials (PCMs) for lithium battery thermal management.
Yang Yang, Zhenhai Gao, Zehao Kang, Keyuan Shi, Peng Guo   +4 more
wiley   +1 more source