Long-time behavior of finite difference solutions of a nonlinear Schrödinger equation with weakly damped

Journal of Computational Mathematics

Volumn 19, Issue 4, 2001, Pages 393-406

  Zhang, F Y ^a   Lu, S J ^a  

^a HEILONGJIANG UNIVERSITY   (China)

Author keywords

Finite difference method; Global attractor; Nonlinear Schr dinger equation; Stibilty and convergence

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; FINITE DIFFERENCE METHOD; SYSTEM STABILITY;

GLOBAL ATTRACTORS;

NONLINEAR EQUATIONS;

EID: 0035392740     PISSN: 02549409     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. Finite dimensional behavior for weakly damped driven Schrödinger equations
2. Asymptotic behavior of dissipative systems
3. Upper semicontinuity of attractors for approximations of semigroups and partial differential equations
4. Error estimates with smooth and nonsmooth data for a finite element method for the Cahn-Hilliard equation
5. Approximation to the global attractor for a nonlinear Schrödinger equation
6. Attractors and dimensions for discretizations of a weakly damped Schrödinger equation and a Sine-Gorden equation
7. Long-time stability and convergence for fully discrete nonlinear Galerkin methods