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| ODE Methods for the Solution of Differential/Algebraic Systems | |
| C. W. Gear; L. R. Petzold | |
| 1984 | |
| Source | SIAM Journal on Numerical Analysis
 |
| Volume | 21Issue:4Pages:716-728 |
| English Abstract | 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. |
| Indexed Type | 其他 |
| Cooperation Status | 其它 |
| Language | 英语 |
| Content Type | 期刊论文 |
| URI | http://ir.iscas.ac.cn/handle/311060/1321 |
| Collection | 中国科学院软件研究所 |
| Recommended Citation 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. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| bj01134926.pdf（905KB） | 开放获取 | License | Application Full Text | |||
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