Open AccessLegendre Polynomials Spectral Approximation for the Infinite-Dimensional Hamiltonian Systems
Author(s) -
Zhongquan Lv,
Mei Xue,
Yushun Wang
Publication year - 2011
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2011/824167
Subject(s) - legendre polynomials , hamiltonian (control theory) , mathematics , associated legendre polynomials , hamiltonian system , spectral properties , covariant hamiltonian field theory , classical orthogonal polynomials , legendre transformation , mathematical analysis , jacobi polynomials , differential operator , gegenbauer polynomials , orthogonal polynomials , superintegrable hamiltonian system , mathematical physics , physics , mathematical optimization , astrophysics
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 Hamiltonian operator is a constant differential operator
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