摘要
This paper combines the implicit multistep method and the half explicit multistep method to solve index2 differentiaLalgebraic equations (DAEs), proposesthe predictor-corrector formula. This method enlarge the set of multistep Inthodssuitable to solve index-2 DAEs and improve the mboum order of multistep methodfor solving index2 DAEs. This paPer discuss the global convergence and the im-plemellt of the method. Numerical test are also listed which show the method itproposed it better than BDF method when solving nonstiff DAEs.
This paper combines the implicit multistep method and the half explicit multistep method to solve index2 differentiaLalgebraic equations (DAEs), proposesthe predictor-corrector formula. This method enlarge the set of multistep Inthodssuitable to solve index-2 DAEs and improve the mboum order of multistep methodfor solving index2 DAEs. This paPer discuss the global convergence and the im-plemellt of the method. Numerical test are also listed which show the method itproposed it better than BDF method when solving nonstiff DAEs.
出处
《计算数学》
CSCD
北大核心
1999年第1期65-74,共10页
Mathematica Numerica Sinica
基金
国家自然科学基金
关键词
微分代数方程
预测校正公式
多步法
数值解
index-2 differential-algebraic equations(DAEs ), predictor-corrector formula, multistep method