Runge-Kutta methods of dynamic iteration for index-2 differential-algebraic equations

Wei Sun; Yao Lin Jiang

doi:10.1016/j.amc.2004.10.061

Runge-Kutta methods of dynamic iteration for index-2 differential-algebraic equations

Wei Sun
, Yao Lin Jiang

数学与统计学院

Xi'an Jiaotong University
Air Force Engineering University Xian

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

This paper investigates a few forms of Runge-Kutta methods based on dynamic iteration for index-2 differential-algebraic equations. In particular, the convergence of iterative Runge-Kutta methods is proven for the complex systems. The iterative processes allow implementation with different meshes, which can help improve the accuracy and the stability properties of the proposed method. Finally, the iterative schemes how to appropriately implement on the parallel computers are also involved.

源语言	英语
页（从-至）	1346-1363
页数	18
期刊	Applied Mathematics and Computation
卷	169
期	2
DOI	https://doi.org/10.1016/j.amc.2004.10.061
出版状态	已出版 - 15 10月 2005

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title = "Runge-Kutta methods of dynamic iteration for index-2 differential-algebraic equations",

abstract = "This paper investigates a few forms of Runge-Kutta methods based on dynamic iteration for index-2 differential-algebraic equations. In particular, the convergence of iterative Runge-Kutta methods is proven for the complex systems. The iterative processes allow implementation with different meshes, which can help improve the accuracy and the stability properties of the proposed method. Finally, the iterative schemes how to appropriately implement on the parallel computers are also involved.",

keywords = "Convergence analysis, Differential-algebraic equations, Dynamic iteration, Iterative processes, Runge-Kutta methods",

author = "Wei Sun and Jiang, \{Yao Lin\}",

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N2 - This paper investigates a few forms of Runge-Kutta methods based on dynamic iteration for index-2 differential-algebraic equations. In particular, the convergence of iterative Runge-Kutta methods is proven for the complex systems. The iterative processes allow implementation with different meshes, which can help improve the accuracy and the stability properties of the proposed method. Finally, the iterative schemes how to appropriately implement on the parallel computers are also involved.

AB - This paper investigates a few forms of Runge-Kutta methods based on dynamic iteration for index-2 differential-algebraic equations. In particular, the convergence of iterative Runge-Kutta methods is proven for the complex systems. The iterative processes allow implementation with different meshes, which can help improve the accuracy and the stability properties of the proposed method. Finally, the iterative schemes how to appropriately implement on the parallel computers are also involved.

KW - Convergence analysis

KW - Differential-algebraic equations

KW - Dynamic iteration

KW - Iterative processes

KW - Runge-Kutta methods

UR - https://www.scopus.com/pages/publications/25844493267

U2 - 10.1016/j.amc.2004.10.061

DO - 10.1016/j.amc.2004.10.061

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JO - Applied Mathematics and Computation

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ER -

Runge-Kutta methods of dynamic iteration for index-2 differential-algebraic equations

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