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Structural index reduction algorithms for differential algebraic equations via fixed-point iteration

Numerical Analysis 2014-12-22 v3 Numerical Analysis

Abstract

Motivated by Pryce's structural index reduction method for differential algebraic equations (DAEs), we show the complexity of the fixed-point iteration algorithm and propose a fixed-point iteration method with parameters. It leads to a block fixed-point iteration method which can be applied to large-scale DAEs with block upper triangular structure. Moreover, its complexity analysis is also given in this paper.

Keywords

Cite

@article{arxiv.1406.4473,
  title  = {Structural index reduction algorithms for differential algebraic equations via fixed-point iteration},
  author = {Juan Tang and Wenyuan Wu and Xiaolin Qin and Yong Feng},
  journal= {arXiv preprint arXiv:1406.4473},
  year   = {2014}
}

Comments

19 pages

R2 v1 2026-06-22T04:40:41.054Z