Results 61 to 70 of about 79,087 (306)

Is Computing with Light All You Need? A Perspective on Codesign for Optical Artificial Intelligence and Scientific Computing

Advanced Intelligent Systems, EarlyView.
This perspective article considers what computations optical computing can and should enable. Focusing upon free‐space optical computing, it argues that a codesign approach whereby materials, devices, architectures, and algorithms are simultaneously optimized is needed.
Prasad P. Iyer, Gaurang R. Bhatt, Saaketh Desai, Elliot J. Fuller, Corinne M. Teeter, François Léonard, Craig M. Vineyard   +6 more
wiley   +1 more source

Complementary Romanovski-Routh polynomials and their zeros

Trends in Computational and Applied Mathematics
The efficacy of numerical methods like integral estimates via Gaussian quadrature formulas depends on the localization of the zeros of the associated family of orthogonal polynomials.
L. L. Silva Ribeiro, A. Sri Ranga, Yen Chi Lun   +2 more
doaj   +1 more source

Zero distribution of sequences of classical orthogonal polynomials

Abstract and Applied Analysis, 2003
We obtain the zero distribution of sequences of classical orthogonal polynomials associated with Jacobi, Laguerre, and Hermite weights. We show that the limit measure is the extremal measure associated with the corresponding weight.
Plamen Simeonov
doaj   +1 more source

Block orthogonal polynomials: I. Definition and properties

, 2007
Constrained orthogonal polynomials have been recently introduced in the study of the Hohenberg-Kohn functional to provide basis functions satisfying particle number conservation for an expansion of the particle density.
Abramowitz M, Andrews G E, Bateman H, Bourbaki N, Chihara T S, Dieudonné J, Dreizler R M, Fiolhais C, Giraud B G, Gradshteyn I S, Halmos P R, Jean-Marie Normand, Kreyszig E, Lang S, Mehta M L, Messiah A, Normand J-M, Szegö G   +17 more
core   +3 more sources

Classical orthogonal polynomials: dependence of parameters

Journal of Computational and Applied Mathematics, 2000
The authors study connection problems between classical orthogonal polynomials and their derivatives with respect to (one of) their parameter(s). They use their so-called \texttt{Navima} algorithm to derive recurrence relations for the connection coefficients linking a family of classical orthogonal polynomials (like the Laguerre and Jacobi polynomials)
Ronveaux, André, Zarzo, A., Area, I., Godoy, E.   +3 more
openaire   +2 more sources

Robotic Needle Steering for Percutaneous Interventions: Sensing, Modeling, and Control

Advanced Intelligent Systems, EarlyView.
This review examines recent advances in robotic needle steering for percutaneous interventions, highlighting closed‐loop sensing, physics‐informed tissue‐needle interaction modeling, and real‐time trajectory planning and control. It synthesizes innovations in deep learning, fiber‐optic feedback, and adaptive control strategies, and outlines emerging ...
Fangjiao Zhao, Ruixue Xu, Wujun Zhao, Xi‐Ming Sun, Yu Sun, Changsheng Dai   +5 more
wiley   +1 more source

A characterization of the four Chebyshev orthogonal families

International Journal of Mathematics and Mathematical Sciences, 2005
We obtain a property which characterizes the Chebyshev orthogonal polynomials of first, second, third, and fourth kind. Indeed, we prove that the four Chebyshev sequences are the unique classical orthogonal polynomial families such that their linear ...
E. Berriochoa, A. Cachafeiro, J. M. Garcia-Amor   +2 more
doaj   +1 more source

Using $\D$-operators to construct orthogonal polynomials satisfying higher order difference or differential equations [PDF]

, 2013
We introduce the concept of $\D$-operators associated to a sequence of polynomials $(p_n)_n$ and an algebra $\A$ of operators acting in the linear space of polynomials.
Durán, Antonio J.
core  

New connection formulae for the q-orthogonal polynomials via a series expansion of the q-exponential

, 2006
Using a realization of the q-exponential function as an infinite multiplicative sereis of the ordinary exponential functions we obtain new nonlinear connection formulae of the q-orthogonal polynomials such as q-Hermite, q-Laguerre and q-Gegenbauer ...
Aizawa N Chakrabarti R Naina Mohammed S S Segar J, Askey R, Erdélyi A, Gasper G, Kibler M, Odake S, R Chakrabarti, R Jagannathan, Raychev P P, S S Naina Mohammed   +9 more
core   +1 more source

No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system

Asian Journal of Control, EarlyView.
Abstract This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave‐like phenomena and complexity, become even more challenging with weak coupling between subsystems.
Meriem Louafi, Mohammed Messaoudi, Thabet Abdeljawad, Fahd Jarad   +3 more
wiley   +1 more source