On the relation between energy conserving low-order models and Hamiltonian systems

被引：4

作者：

Wang, Yunheng ^{[1
]}

Lakshmivarahan, S. ^{[1
]}

机构：

[1] Univ Oklahoma, Sch Comp Sci, Norman, OK 73019 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期

关键词：

Low-order models; Energy conservation; Hamiltonian systems; MAXIMUM SIMPLIFICATION; CONVECTION; FLOW;

D O I：

10.1016/j.na.2008.11.059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we examine the relation between the energy conserving finite dimensional or low-order models obtained by the application of the Galerkin projection methods to infinite dimensional model, and the class of finite dimensional non-canonical Hamiltonian systems with quadratic Hamiltonian functions and structure matrix whose elements are linear function of the state. We also examine the conditions for the conservation of the phase volume. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：E351 / E358

页数：8

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