The Hamiltonian system and completeness of symplectic orthogonal system

DOI10.1007/BF02453366zbMath0889.58041OpenAlexW2014901112MaRDI QIDQ1369476

Alatancang Chen, Wan-xie Zhong, Hong-Qing Zhang

Publication date: 29 June 1998

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02453366

zbMATH Keywords

completenessHamiltonian systemsymplectic orthogonal system

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (11)

Influence of inlet radius on Stokes flow in a circular tube via the Hamiltonian systematic method ⋮ Eigenfunction expansion method and its application to two-dimensional elasticity problems based on stress formulation ⋮ Symplectic exact solution for Stokes flow in the thin film coating applications ⋮ On invertible nonnegative Hamiltonian operator matrices ⋮ Analytical and numerical methods of symplectic system for Stokes flow in two-dimensional rectangular domain ⋮ Structure of the spectrum of infinite dimensional Hamiltonian operators ⋮ On symplectic self-adjointness of Hamiltonian operator matrices ⋮ Eigenfunction expansion method of upper triangular operator matrix and application to two-dimensional elasticity problems based on stress formulation ⋮ A symplectic eigenfunction expansion approach for free vibration solutions of rectangular Kirchhoff plates ⋮ Completeness in the sense of Cauchy principal value of the eigenfunction systems of infinite dimensional Hamiltonian operator ⋮ Pseudo-division algorithm for matrix multivariable polynomial and its application

Cites Work

• Multi-stage symplectic schemes of two kinds of Hamiltonian systems for wave equations
• Hamiltonian algorithms for Hamiltonian systems and a comparative numerical study
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