摘要
利用并推广格点法求解KdV方程,用多尺度分析方法构造出格点模型的演化方程的局部平衡解。
A new class of methods of building lattice models has been developed recently in numerical simulation of fluid dynamics. The essential idea is to rebuild models and directly simulate mathematical physical problems based on the kinetic description of physical systems. Following the works in fluid dynamics, the extension of methods to some typical mathematical physical equations has been made. A theoretical framework for building lattice models of general partial differential equations is proposed.
基金
国家自然科学基金