Hessenberg index-2型微分代数方程的数值解(英文)  

On numerical solutions of differential-algebraic equations with Hessenberg index-2

作　　者：任磊[1] 孙乐平[2] 徐丽娟[2] 

机构地区：[1]商丘师范学院数学系,商丘476000 [2]上海师范大学数理学院,上海200234

出　　处：《上海师范大学学报（自然科学版）》2012年第3期231-236,共6页Journal of Shanghai Normal University(Natural Sciences)

基　　金：Supported in part by the NSF of China under Grant(1107170)

摘　　要：首先讨论了Hessenberg index-2型微分代数方程的数值解,这类微分代数方程的数值解通过MATLAB的代数求解系统可以拓展到任意阶;然后对给定的Hessenberg系统,通过用级数的数值计算方法得到合理的逼近.Numerical solutions of differential-algebraic equations （DAEs） with Hessenberg index-2 are studied. The solution of a differential-algebraic equation can be expanded up to arbitrary order using MATLAB computer algebra systems. We calculate the power series of the given Hessenberg system, which give an appropriate approximant for solving differential-algebraic equations numerically.

关 键 词：微分代数方程 任意阶 index-2 Hessenberg系统 

分 类 号：O241.81[理学—计算数学]