Results 91 to 100 of about 4,323 (242)

Using shifted Legendre orthonormal polynomials for solving fractional optimal control problems

, 2022
Razieh Naseri, Aghileh Heydari, Amir Saboor Bagherzadeh   +2 more
openalex   +2 more sources

A trace–path integral formula over function fields

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We show that an arithmetic path integral over the ℓ$\ell$‐torsion of a Jacobian J[ℓ]$J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group H(J[ℓ])$H(J[\ell])$, up to an explicitly determined sign.
Yan Yau Cheng
wiley   +1 more source

Hybrid Equilibrium Element Formulation for Large Displacement Nonlinear Elasticity

International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT The present paper proposes an equilibrium‐based finite element formulation for the analysis of large displacement and large strain nonlinear elasticity problems. The proposed formulation is based on the Hybrid Equilibrium Element (HEE) and is developed in an updated Lagrangian framework.
Francesco Parrinello, Simona Lo Franco, Guido Borino   +2 more
wiley   +1 more source

Time-Domain Dynamics of Fractional Viscoelastic Spinning Disks via Shifted Legendre Polynomials

Fractal and Fractional
This paper presents a novel algorithm for the dynamic analysis of fractional-order viscoelastic spinning disks in the time domain. The novelty mainly lies in the use of the shifted Legendre polynomial algorithm for the direct time-domain numerical ...
Yuxuan Ma, Chunxiao Yu, Yiming Chen, Gang Cheng, Yongxing Wang   +4 more
doaj   +1 more source

Genetic analysis of milk production traits of Tunisian Holsteins using random regression test-day model with Legendre polynomials [PDF]

, 2017
Hafedh Ben Zaabza, Abderrahmen Ben Gara, B. Rekik   +2 more
openalex   +1 more source

Bounds for Two New Subclasses of Bi-Univalent Functions Associated with Legendre Polynomials [PDF]

, 2021
A. Y. Lashin, Abeer O. Badghaish, Amani Z. Bajamal   +2 more
openalex   +1 more source

NONLINEAR METHOD OF VEHICLE VELOCITY DETERMINATION BASED ON INVERSE SYSTEM AND TENSOR PRODUCT OF LEGENDRE POLYNOMIALS - INTERMEDIATE CLASS [PDF]

, 2019
Łukasz Gosławski, Jacek Gralewski, Mateusz Krukowski, Przemysłąw Kubiak, Maria Manko, Adam Mrowicki, Ricardo J. Alves de Sousa, Ewa Sys   +7 more
openalex   +1 more source

Optimization of coupled Lamb wave parameters for defect detection in anisotropic composite three-layer with Kelvin-Voigt viscoelasticity using Legendre polynomial method

, 2021
Souhail Dahmen, Christ Glorieux
openalex   +2 more sources

A simple proof of Koornwinder’s addition formula for the little 𝑞-Legendre polynomials [PDF]

, 1989
Mizan Rahman
openalex   +1 more source

Generalized q-Legendre polynomials

Journal of Computational and Applied Mathematics, 1993
The author finds the polynomials \(u_ n\) satisfying the 3-term recursion: \[ (1-q^{n+1}) (1+q^ n) u_{n+1} - f_ nu_ n + q^{2n- 1} (1-q^ n) (1+q^{N+1}) u_{n-1} = 0, \] where \[ f_ n = (1- q^{2n+1}) \left( 2q^ n-(1+q^ n) (1+q^{n+1}) \sum_{j=0}^ nq^{-jn} \left[ {n \over j} \right]_ q \left[ {n+j \over j} \right]_ qx_ j \right). \] For \(x_ 0=x\), \(x_ j=0\
openaire   +2 more sources