Results 81 to 90 of about 53,539 (221)
Families of Legendre–Sheffer polynomials
Mathematical and Computer Modelling, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khan, Subuhi, Raza, Nusrat
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Methods Based on Polynomial Chaos for Quadratic Delay Differential Equations With Random Parameters
PAMM, Volume 26, Issue 1, March 2026.ABSTRACT We consider systems of delay differential equations (DDEs), including a single delay and a quadratic right‐hand side. In a system, parameters are replaced by random variables to perform an uncertainty quantification. Thus the solution of the DDEs becomes a random process, which can be represented by a series of the generalised polynomial chaos.
Roland Pulch
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On the interval Legendre polynomials
Journal of Computational and Applied Mathematics, 2003 This paper deals with the extension of the classical Legendre polynomials to the interval theory by considering the family of interval polynomials \(\mathbb L_{n,k}(x) \) satisfying, for each natural number \(k\), the recursive formula \(\mathbb L_{0,k}(x)=[1-\frac 1k,1+\frac 1k]\), \(\mathbb L_{1,k}(x)=[1-\frac 1k,1+\frac 1k]x\), \(\mathbb L_{n+1,k}(x)
Patrı́cio, F. +2 more
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Journal of Animal Breeding and Genetics, Volume 143, Issue 2, Page 342-353, March 2026.ABSTRACT The aim of this study was to evaluate the impact of incorporating genomic information on the estimation of genetic (co)variance components and the accuracy of breeding values for milk yield under varying thermal environments, and to identify SNPs associated with genes that play significant roles in heat tolerance.
Gabriela Stefani +3 more
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On the degree of approximation of the Hermite and Hermite-Fejer interpolation
International Journal of Mathematics and Mathematical Sciences, 1992 Here we find the order of convergence of the Hermite and Hermite-Fejér interpolation polynomials constructed on the zeros of (1−x2)Pn(x) where Pn(x) is the Legendre polynomial of degree n with normalization Pn(1)=1.
J. Prasad
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A Mixture Transition Distribution Modeling for Higher‐Order Circular Markov Processes
Journal of Time Series Analysis, Volume 47, Issue 2, Page 304-320, March 2026.ABSTRACT This study considers the stationary higher‐order Markov process for circular data by employing the mixture transition distribution modeling. The underlying circular transition distribution is based on Wehrly and Johnson's bivariate joint circular models.
Hiroaki Ogata, Takayuki Shiohama
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Archives of MechanicsThe dispersion and attenuation characteristics of SH waves in piezoelectric semiconductor multilayered plates with imperfect interfaces are investigated using the improved Legendre orthogonal polynomial method.
Y.H. Luo, X.M. Zhang, A.R. Gao
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Modelling guided waves in anisotropic plates using the Legendre polynomial method
MATEC Web of Conferences, 2017 A numerical method to compute phase dispersion curve in unidirectional laminate is described. The basic feature of the proposed method is the expansion of fields quantities in single layer on different polynomial bases.
Zheng Mingfang, He Cunfu, Lu Yan, Wu Bin
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Legendre-Gauss-Lobatto grids and associated nested dyadic grids [PDF]
, 2013 Legendre-Gauss-Lobatto (LGL) grids play a pivotal role in nodal spectral methods for the numerical solution of partial differential equations. They not only provide efficient high-order quadrature rules, but give also rise to norm equivalences that could
Brix, Kolja +2 more
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Probabilistic Identification of Parameters in Dynamic Fracture Propagation
International Journal for Numerical Methods in Engineering, Volume 127, Issue 4, 28 February 2026.ABSTRACT In this paper, we propose a novel multiphase approach for identifying input parameters in dynamic fracture propagation. Often, such parameters are partially known and uncertain with incomplete input data, resulting in challenges in predicting a reliable dynamic failure response.
Andjelka Stanić +3 more
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