搜索结果: 1-5 共查到“Hamiltonian PDEs”相关记录5条 . 查询时间(0.046 秒)
Energy-conserving numerical methods for multi-symplectic Hamiltonian PDEs
Energy-conserving numerical methods Hamiltonian PDEs
2012/8/8
In this paper, the discrete gradient methods are investigated for ODEs with 痳st integral,
and the recursive formula is presented for deriving the high-order numerical methods. We
generalize the idea...
Quadratic Invariants and Multi-symplecticity of Partitioned Runge-Kutta Methods for Hamiltonian PDEs
Quadratic conservation law Partitioned Runge-Kutta method Multi-symplectic
2012/8/7
In this paper, we study the preservation of quadratic conservation laws of Runge-Kutta
methods and partitioned Runge-Kutta methods for Hamiltonian PDEs and establish the relation
between multi-sympl...
Asymptotic stability of ground states in some Hamiltonian PDEs with symmetry
Asymptotic stability of ground states Hamiltonian PDEs symmetry
2011/9/22
Abstract: We consider a ground state (soliton) of a Hamiltonian PDE. We prove that if the soliton is orbitally stable then it is also asymptotically stable. The main assumptions are transversal nondeg...
Stability of bound states of Hamiltonian PDEs in the degenerate cases
Hamiltonian PDEs degenerate cases Analysis of PDEs
2011/9/14
Abstract: We consider a Hamiltonian systems which is invariant under a one-parameter unitary group. We give a criterion for the stability and instability of bound states for the degenerate case. We ap...
The Multi-Symplecticity of Partitioned Runge-Kutta Methods for Hamiltonian PDEs
Partitioned Runge-Kutta method Multi-symplecticity Hamiltonian partial differential equation
2012/7/31
In this article we consider partitioned Runge-Kutta (PRK) methods for Hamiltonian partial differential equations (PDEs), and present some sufficient conditions for multi-symplecticity of PRK methods o...