Results 71 to 80 of about 155,769 (214)
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational discretizations of the space and time variables. Due to the high dimensionality, the solution of the arising algebraic systems do not become feasible without ...
Moataz Dawor +2 more
wiley +1 more source
Legendre Polynomials Spectral Approximation for the Infinite-Dimensional Hamiltonian Systems [PDF]
, 2011 This paper considers a Legendre polynomials spectral approximation for the infinite-dimensional Hamiltonian systems. As a consequence, the Legendre polynomials spectral semidiscrete system is a Hamiltonian system for the Hamiltonian system whose ...
Zhongquan Lv, Mei Xue, Yushun Wang
core +1 more source
Polar Plots of Legendre Polynomials
, 2016 Show Legendre polynomials in polar coordinatesComponente Curricular::Educação Superior::Ciências Exatas e da Terra ...
Wolfram, Stephen
core +1 more source
The Product of Two Legendre Polynomials [PDF]
Proceedings of the Glasgow Mathematical Association, 1953 1. It is known that any polynomial in μ. can be expanded as a linear function of Legendre polynomials [1]. In particular, we haveThe earlier coefficients, say A0, A2, A4 may easily be found by equating the coefficients of μp+q, μp+q-2, μp+q-4 on the two sides of (1).
openaire +2 more sources
Shooting Methods for Boundary Value Problems of Fractional Differential Equations
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT We consider two‐point boundary value problems of fractional differential equations (FDEs) including a Caputo derivative with a fractional order in the range (0,1) or (1,2). The numerical solution of a boundary value problem is investigated using shooting methods.
Roland Pulch, Abhishek Kumar Singh
wiley +1 more source
On Fractional Orthonormal Polynomials of a Discrete Variable
Discrete Dynamics in Nature and Society, 2015 A fractional analogue of classical Gram or discrete Chebyshev polynomials is introduced. Basic properties as well as their relation with the fractional analogue of Legendre polynomials are presented.
I. Area +3 more
doaj +1 more source
The Plant Phenome Journal, Volume 9, Issue 1, December 2026.Abstract High‐throughput phenotyping (HTP) techniques have brought new opportunities to understand and evaluate key traits in plant breeding programs. Combining multiple measures through time and random regression models permits a more comprehensive understanding of the genetic and environmental effects on trait expression over time. This study aims to
Felipe Sabadin +16 more
wiley +1 more source
Mathematics, 2018 This paper is concerned with representing sums of the finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials in terms of several classical orthogonal polynomials.
Taekyun Kim +3 more
doaj +1 more source
Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
wiley +1 more source
Legendre Polynomials Used for the Approximation of Cylindrical Surfaces
, 2005 The paper deals with a concept of application of orthogonal Legendre polynomials for the approximation of cylindrical surfaces. It presents fundamentals of a mathematical model of such approximation.
Krzysztof Stępien, Dariusz Janecki
core +1 more source