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| Symbolic numeric index analysis algorithm for differential algebraic equations | |
| Chowdhry S; Krendl H; Linninger AA | |
| 2004 | |
| Source | Industrial & Engineering Chemistry Research
 |
| Volume | 43Issue:14Pages:3886-3894 |
| English Abstract | Mathematical modeling of dynamic chemical engineering systems such as flow-sheet simulation, transient analysis of reaction and separation networks, computational fluid dynamic, or control problems often leads to systems of differential-algebraic equations (DAEs). Knowing the index of a DAE is an important prerequisite for its consistent initialization and its numerical solution. For large sets of DAEs occurring in chemical engineering practice, index analysis requires computational procedures. This paper presents a new approach for automatic index analysis. Earlier index analysis algorithms were based on purely structural calculus. Unfortunately, structural methods may actually arbitrarily over- or underestimate the correct DAE index. To overcome the shortcomings of existing approaches, this paper proposes a novel algorithm expanding DAE analysis to include both symbolic and numerical information. The novel symbolic numerical analysis accounts for variable cancellation and processes linear expressions accurately. For the case of purely linear DAE, the new method is rigorous. For the general nonlinear DAE, the novel approach gives a more precise picture in most cases. The paper introduces the theory supporting the methodology and provides the proof of concept with small illustrative examples. |
| Indexed Type | 其他 |
| Cooperation Status | 其它 |
| Keyword | Equation Algébrique Algorithme |
| Language | 英语 |
| Content Type | 期刊论文 |
| URI | http://ir.iscas.ac.cn/handle/311060/1315 |
| Collection | 中国科学院软件研究所 |
| Recommended Citation GB/T 7714 | Chowdhry S,Krendl H,Linninger AA. Symbolic numeric index analysis algorithm for differential algebraic equations[J]. Industrial & Engineering Chemistry Research,2004,43(14):3886-3894. |
| APA | Chowdhry S,Krendl H,&Linninger AA.(2004).Symbolic numeric index analysis algorithm for differential algebraic equations.Industrial & Engineering Chemistry Research,43(14),3886-3894. |
| MLA | Chowdhry S,et al."Symbolic numeric index analysis algorithm for differential algebraic equations".Industrial & Engineering Chemistry Research 43.14(2004):3886-3894. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| BJ01133779.pdf（134KB） | 开放获取 | License | Application Full Text | |||
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