波动方程的一类显式辛格式  

A CLASS OF EXPLICITLY SYMPLECTIC SCHEMES FOR WAVE EQUATIONS

作　　者：孙耿[1] 

机构地区：[1]中科院数学研究所

出　　处：《计算数学》1997年第1期1-10,共10页Mathematica Numerica Sinica

基　　金：国家自然科学基金

摘　　要：In this paper we consider mainly low order symplectic (or linear symplectic)partitioned Runge-Kutta methods of one kind of Hamiltonian systems for wave equations. Stability conditions for all two-stage explicitly partitioned Runge-Kutta methods with order 2 are disscussed. In addition some methods with low-order are applied to more general wave equations.In this paper we consider mainly low order symplectic (or linear symplectic)partitioned Runge-Kutta methods of one kind of Hamiltonian systems for wave equations. Stability conditions for all two-stage explicitly partitioned Runge-Kutta methods with order 2 are disscussed. In addition some methods with low-order are applied to more general wave equations.

关 键 词：波动方程 初边值问题 显式辛格式 

分 类 号：O241.82[理学—计算数学]