Results 61 to 70 of about 1,681 (245)

The Spectral Connection Matrix for Any Change of Basis within the Classical Real Orthogonal Polynomials

Mathematics, 2015
The connection problem for orthogonal polynomials is, given a polynomial expressed in the basis of one set of orthogonal polynomials, computing the coefficients with respect to a different set of orthogonal polynomials.
Tom Bella, Jenna Reis
doaj   +1 more source

Design, Control, and Clinical Applications of Magnetic Actuation Systems: Challenges and Opportunities

Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.
This review aims to provide a broad understanding for interdisciplinary researchers in engineering and clinical applications. It addresses the development and control of magnetic actuation systems (MASs) in clinical surgeries and their revolutionary effects in multiple clinical applications.
Yingxin Huo, Lidong Yang, Tiantian Xu, Dong Sun   +3 more
wiley   +1 more source

Fractional-Order Orthogonal Jacobi Function-Based Operational Approach for Multi-Term Diffusion-Wave Equations of Fractional Order

Fractal and Fractional
Solving fractional differential equations using spectral collocation methods based on classical orthogonal polynomials often leads to a reduced convergence rate due to the limited regularity of the solutions.
Amal Alshabanat, Mohamed A. Saker, Hanaa Moussa, Samer S. Ezz-Eldien   +3 more
doaj   +1 more source

Box–Behnken optimization and ANN‐ANFIS integrated modelling for transesterification using thermally activated basic oxygen furnace slag catalyst

The Canadian Journal of Chemical Engineering, EarlyView.
Abstract Global energy demand and environmental concerns have intensified the search for renewable and sustainable energy sources. This study thus, focuses on optimizing the transesterification process of waste cooking oil (WCO) using thermally activated basic oxygen furnace slag catalyst calcined at 850°C (BOF 850). The optimization and modelling were
Johra S. Ali, Hillary L. Rutto
wiley   +1 more source

The telephone polynomials: An Appell-type orthogonal polynomials connecting Hermite–Laguerre polynomials

Nuclear Physics B
This article investigates a new Appell-type sequence, the telephone polynomials, which extend the classical telephone (involution) numbers. We present their fundamental algebraic properties, structural characterizations, and diverse interconnections with
Kalika Prasad, Munesh Kumari
doaj   +1 more source

CONNECTION FORMULAS AND REPRESENTATIONS OF LAGUERRE POLYNOMIALS IN TERMS OF THE ACTION OF LINEAR DIFFERENTIAL OPERATORS

Проблемы анализа, 2019
In this paper, we introduce the notion of Oε-classical orthogonal polynomials, where Oε := I + εD (ε 6= 0). It is shown that the scaled Laguerre polynomial sequence {a −nL (α) n (ax)}n>0, where a = −ε −1 , is actually the only Oε-classical ...
B. Aloui, L. Kheriji
doaj   +1 more source

On the $$D_{\omega }$$-Classical Orthogonal Polynomials

Mediterranean Journal of Mathematics
We wish to investigate the $D_{\omega}$-classical orthogonal polynomials, where $D_{\omega}$ is a special case of the Hahn operator. For this purpose, we consider the problem of finding all sequences of orthogonal polynomials such that their $D_{\omega}$-derivatives are also orthogonal polynomials. To solve this problem we adopt a different approach to
openaire   +3 more sources

What Drives CSR Performance: Structures, Declarations or Values?

Corporate Social Responsibility and Environmental Management, EarlyView.
ABSTRACT Sustainability and corporate social responsibility (CSR) are increasingly central to strategic management, yet a gap persists between formal commitments and actual practice. The study explores the structural and value‐based predictors of the institutional integration of CSR and sustainability, with a focus on the mediating role of the CSR ...
Pavla Vrabcová, Lukáš Falát, Hana Urbancová, Peter Madzík   +3 more
wiley   +1 more source

Subspace Acceleration for Efficient Nonlinear Water Wave Simulation

International Journal for Numerical Methods in Fluids, EarlyView.
We introduce an exponentially weighted subspace acceleration technique to reduce GMRES iterations for solving the Poisson equation with time‐dependent coefficients in nonlinear, dispersive free‐surface flows governed by the incompressible Navier‐Stokes equations. The method significantly reduces memory requirements and computational complexity compared
Rasmus Kleist Hørlyck Sørensen, Margherita Guido, Allan Peter Engsig‐Karup, Daniel Kressner   +3 more
wiley   +1 more source

Immersed Boundary Projection Method for Boundaries With Slip Velocities

International Journal for Numerical Methods in Fluids, EarlyView.
A formulation of the immersed boundary method for incompressible flow over arbitrarily‐shaped bodies with surface slip described by the Navier boundary condition is presented. The wall slip velocity and the boundary force are determined implicitly through a projection to satisfy both the boundary condition and the divergence‐free condition of the ...
Takehiro Fujii, Takeshi Omori
wiley   +1 more source