预测校正公式求解指标2微分代数方程  

PREDICTOR-CORRECTOR FORMULA FOR SOLVING INDEX-2 DIFFERENTIAL-ALGEBRAIC EQUATIONS

作　　者：曹阳[1] 李庆扬[1] 

机构地区：[1]清华大学应用数学系

出　　处：《计算数学》1999年第1期65-74,共10页Mathematica Numerica Sinica

基　　金：国家自然科学基金

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.

关 键 词：微分代数方程 预测校正公式 多步法 数值解 

分 类 号：O241.81[理学—计算数学]