Block group preserving correction methods for differential algebraic equations with multiple constraints
文献类型：期刊论文
| 作者 | Lu, Jianguang1,3; Qin, Xiaolin1; Feng, Yong2 ; Tang, Juan1,3
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| 刊名 | Journal of Computational and Theoretical Nanoscience
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| 出版日期 | 2016 |
| 卷号 | 13期号:7页码:4042-4049 |
| ISSN号 | 15461955 |
| DOI | 10.1166/jctn.2016.5249 |
| 通讯作者 | Qin, Xiaolin |
| 英文摘要 | In this paper, we combine the Euler scheme with the block group preserving methods to obtain the high accuracy block group preserving techniques. High index differential algebraic equations (DAEs) may have hidden algebraic constraints. To solve the high-index DAEs or DAEs with multiple constraints, we propose block group preserving correction scheme (BGPCS) via exponential mapping and block modified group preserving correction scheme (BMGPCS) by considering multiple constraints. We block the nonlinear dynamical system with m constraints into m subsystems. Each subsystem uses group preserving correction scheme (GPCS) and modified group preserving correction scheme (MGPCS). Moreover, we give two necessary conditions of the block methods. The schemes provide single-step explicit time integrators for systems of DAEs. Some numerical examples are examined, showing that the BMGPCS works very well and the merits of the computational efficiency and accuracy of the method can be confirmed. © 2016 American Scientific Publishers All rights reserved. |
| 电子版国际标准刊号 | 15461963 |
| 语种 | 英语 |
| 源URL | [http://119.78.100.138/handle/2HOD01W0/4612]  |
| 专题 | 中国科学院重庆绿色智能技术研究院 |
| 作者单位 | 1.Laboratory of Automated Reasoning and Programming, Chengdu Institute of Computer Applications, Chinese Academy of Science, Chengdu; 610041, China; 2.Chongqing Key Laboratory of Automated Reasoning and Cognition, Chongqing Institute of Green and Intelligent Technology, Chinese Academy of Science, Chongqing; 400714, China; 3.University of Chinese Academy of Science, Beijing; 100049, China |
| 推荐引用方式 GB/T 7714 | Lu, Jianguang,Qin, Xiaolin,Feng, Yong,et al. Block group preserving correction methods for differential algebraic equations with multiple constraints[J]. Journal of Computational and Theoretical Nanoscience,2016,13(7):4042-4049. |
| APA | Lu, Jianguang,Qin, Xiaolin,Feng, Yong,&Tang, Juan.(2016).Block group preserving correction methods for differential algebraic equations with multiple constraints.Journal of Computational and Theoretical Nanoscience,13(7),4042-4049. |
| MLA | Lu, Jianguang,et al."Block group preserving correction methods for differential algebraic equations with multiple constraints".Journal of Computational and Theoretical Nanoscience 13.7(2016):4042-4049. |
入库方式： OAI收割
来源：重庆绿色智能技术研究院
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