Legendre Polynomials Spectral Approximation for the Infinite-Dimensional Hamiltonian Systems

Zhongquan Lv; Mei Xue; Yushun Wang

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Legendre Polynomials Spectral Approximation for the Infinite-Dimensional Hamiltonian Systems

机译：无限维哈密顿系统的Legendre多项式谱逼近

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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.

机译：本文考虑了无限维哈密顿系统的勒让德多项式谱近似。结果，勒让德多项式谱半离散系统是哈密顿系统的哈密顿系统，其哈密顿算子是一个常微分算子。

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《Mathematical Problems in Engineering》 |2011年第3期|p.1-13|共13页
作者
Zhongquan Lv; Mei Xue; Yushun Wang;
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作者单位

Jinngsu Key Laboratory for NSLSCS, Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210046, China,College of Science, Nanjing Forestry University, Nanjing 210037, China;

Jinngsu Key Laboratory for NSLSCS, Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210046, China;

Jinngsu Key Laboratory for NSLSCS, Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210046, China;

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1. Legendre Polynomials Spectral Approximation for the Infinite-Dimensional Hamiltonian Systems [J] . ZhongquanLv, MeiXue, YushunWang Mathematical Problems in Engineering: Theory, Methods and Applications . 2011,第6期

机译：无限维哈密顿系统的Legendre多项式谱逼近
2. Expansion of the spectral representation function of a composite material in a basis of Legendre polynomials: Experimental determination and analytic approximations [J] . C. Pecharroman, F. J. Gordillo-Vazquez Physical review. B, Condensed Matter And Materials Physics . 2006,第3期

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3. Blind phone segmentation based on spectral change detection using Legendre polynomial approximation [J] . Hoang Dac-Thang, Wang Hsiao-Chuan The Journal of the Acoustical Society of America . 2015,第2期

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4. Legendre polynomials spectral approximation for the wave equation [C] . Zhongquan Lv International conference on application of mathematics and physics;AMP2010 . 2010

机译：波动方程的勒让德多项式频谱近似
5. New approaches to time-dependent systems: (I)~Filter diagonalization: A general approach for spectral analysis. (II)~Photoabsorption probability for a system governed by a time-dependent Hamiltonian through the (t,t') formalism. [D] . Pang, Johnny W. 1997

机译：时间相关系统的新方法：（I）〜滤波器对角化：频谱分析的通用方法。（II）〜通过（t，t'）形式主义由时变哈密顿量控制的系统的光吸收概率。
6. An Analysis of Polynomial Chaos Approximations for Modeling Single-Fluid-Phase Flow in Porous Medium Systems [O] . C.P. Rupert, C.T. Miller -1

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7. Legendre polynomials, Legendre–Stirling numbers, and the left-definite spectral analysis of the Legendre differential expression [O] . Everitt W.N., Littlejohn L.L., Wellman R. 2002

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8. Polynomial approximation of Poincare maps for Hamiltonian system [R] . Froeschle, Claude, Petit, Jean-Marc 1992

机译：哈密顿系统poincare映射的多项式逼近

Legendre Polynomials Spectral Approximation for the Infinite-Dimensional Hamiltonian Systems

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