ODE Methods for the Solution of Differential/Algebraic Systems

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	ODE Methods for the Solution of Differential/Algebraic Systems
	C. W. Gear ; L. R. Petzold
刊名	SIAM Journal on Numerical Analysis
	1984
卷号	21 期号:4 页码:716-728
合作状况	其它
英文摘要	In this paper we study the numerical solution of the differential/algebraic systems F(t, y, y') = 0. Many of these systems can be solved conveniently and economically using a range of ODE methods. Others can be solved only by a small subset of ODE methods, and still others present insurmountable difficulty for all current ODE methods. We examine the first two groups of problems and indicate which methods we believe to be best for them. Then we explore the properties of the third group which cause the methods to fail. We describe a reduction technique which allows systems to be reduced to ones that can be solved. It also provides a tool for the analytical study of the structure of systems.
收录类别	其他
语种	英语
公开日期	2010-05-13
内容类型	期刊论文
源URL	[http://124.16.136.157/handle/311060/1321]
专题	软件研究所_软件所图书馆_期刊论文
推荐引用方式 GB/T 7714	C. W. Gear,L. R. Petzold. ODE Methods for the Solution of Differential/Algebraic Systems[J]. SIAM Journal on Numerical Analysis,1984,21(4):716-728.
APA	C. W. Gear,&L. R. Petzold.(1984).ODE Methods for the Solution of Differential/Algebraic Systems.SIAM Journal on Numerical Analysis,21(4),716-728.
MLA	C. W. Gear,et al."ODE Methods for the Solution of Differential/Algebraic Systems".SIAM Journal on Numerical Analysis 21.4(1984):716-728.