杆振动方程的二级二阶显式辛格式及其稳定性  

Two order two stage explicit symplectic scheme and its stablity for the four-order rod vibration equation

作　　者：郑小红[1] 曾文平[1] 

机构地区：[1]华侨大学数学系,福建泉州362011

出　　处：《河南师范大学学报（自然科学版）》2003年第4期17-20,46,共5页Journal of Henan Normal University(Natural Science Edition)

摘　　要：用PRK方法对四阶杆振动方程构造了二级二阶显式辛格式,并讨论了其稳定性.数值实验表明了理论分析的正确性.We construct two stage explicit symplectic schemes with two order of four-order rod vibration equation via Partitioned Runge-Kutta(PRK) methods and discuss its stability. The numerical experiment shows the theory analysis is correct.

关 键 词：杆振动方程 二级二阶显式辛格式 PRK方法 稳定性 HAMILTON系统 

分 类 号：O241.82[理学—计算数学]