ATTRACTORS FOR DISCRETIZATION OF GINZBURG-LANDAU-BBM EQUATIONS
ATTRACTORS FOR DISCRETIZATION OF GINZBURG-LANDAU-BBM EQUATIONS作者机构:Department of MathematicsYunnan UniversityKunming 650091China R&D Center for Parallel SoftwareInstitute of SoftwareChinese Academy of SciencesBeijing 100080China Institute of Applied Physics and Computational MathematicsBeijing 100088China
出 版 物:《Journal of Computational Mathematics》 (计算数学(英文))
年 卷 期:2001年第19卷第2期
页 面:195-204页
核心收录:
学科分类:07[理学] 070102[理学-计算数学] 0701[理学-数学]
基 金:Project supported by the National Natural Science Poundation of China (No. 19861004)
主 题:attractor spatially discreted Ginzburg-Landau-BBM equations Hausdorff and fractal dimensions
摘 要:Focuses on a study which discreted Ginzburg-Landau-BBM equations with periodic initial boundary value conditions by the finite difference method in spatial direction. Background on the discretization of the equations and the priori estimates; Existence of the attractors for the discrete system; Estimates of the upper bounds of Hausdorff and fractal dimensions for the attractors.