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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
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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.
作者 曹阳 李庆扬
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
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参考文献1

  • 1Cao Y,The Maxium order of Multistep Method for Solving Index-2 Differential Algebraic equations

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