{"author":[{"first_name":"Xiaolin","full_name":"Qin, Xiaolin","last_name":"Qin"},{"last_name":"Tang","full_name":"Tang, Juan","first_name":"Juan"},{"first_name":"Yong","full_name":"Feng, Yong","last_name":"Feng"},{"full_name":"Bachmann, Bernhard","last_name":"Bachmann","orcid_put_code_url":"https://api.orcid.org/v2.0/0000-0002-4339-0438/work/102900330","first_name":"Bernhard","orcid":"0000-0002-4339-0438","id":"33931"},{"first_name":"Peter","last_name":"Fritzson","full_name":"Fritzson, Peter"}],"year":"2015","citation":{"mla":"Qin, Xiaolin, et al. “Efficient Algorithm for Computing Large Scale Systems of Differential  Algebraic Equations.” <i>ArXiv:1506.03963</i>, 2015.","ama":"Qin X, Tang J, Feng Y, Bachmann B, Fritzson P. Efficient algorithm for computing large scale systems of differential  algebraic equations. <i>arXiv:150603963</i>. 2015.","bibtex":"@article{Qin_Tang_Feng_Bachmann_Fritzson_2015, title={Efficient algorithm for computing large scale systems of differential  algebraic equations}, journal={arXiv:1506.03963}, author={Qin, Xiaolin and Tang, Juan and Feng, Yong and Bachmann, Bernhard and Fritzson, Peter}, year={2015} }","alphadin":"<span style=\"font-variant:small-caps;\">Qin, Xiaolin</span> ; <span style=\"font-variant:small-caps;\">Tang, Juan</span> ; <span style=\"font-variant:small-caps;\">Feng, Yong</span> ; <span style=\"font-variant:small-caps;\">Bachmann, Bernhard</span> ; <span style=\"font-variant:small-caps;\">Fritzson, Peter</span>: Efficient algorithm for computing large scale systems of differential  algebraic equations. In: <i>arXiv:1506.03963</i> (2015)","short":"X. Qin, J. Tang, Y. Feng, B. Bachmann, P. Fritzson, ArXiv:1506.03963 (2015).","ieee":"X. Qin, J. Tang, Y. Feng, B. Bachmann, and P. Fritzson, “Efficient algorithm for computing large scale systems of differential  algebraic equations,” <i>arXiv:1506.03963</i>. 2015.","chicago":"Qin, Xiaolin, Juan Tang, Yong Feng, Bernhard Bachmann, and Peter Fritzson. “Efficient Algorithm for Computing Large Scale Systems of Differential  Algebraic Equations.” <i>ArXiv:1506.03963</i>, 2015.","apa":"Qin, X., Tang, J., Feng, Y., Bachmann, B., &#38; Fritzson, P. (2015). Efficient algorithm for computing large scale systems of differential  algebraic equations. <i>ArXiv:1506.03963</i>."},"user_id":"216066","abstract":[{"text":"In many mathematical models of physical phenomenons and engineering fields,\r\nsuch as electrical circuits or mechanical multibody systems, which generate the\r\ndifferential algebraic equations (DAEs) systems naturally. In general, the\r\nfeature of DAEs is a sparse large scale system of fully nonlinear and high\r\nindex. To make use of its sparsity, this paper provides a simple and efficient\r\nalgorithm for computing the large scale DAEs system. We exploit the shortest\r\naugmenting path algorithm for finding maximum value transversal (MVT) as well\r\nas block triangular forms (BTF). We also present the extended signature matrix\r\nmethod with the block fixed point iteration and its complexity results.\r\nFurthermore, a range of nontrivial problems are demonstrated by our algorithm.","lang":"eng"}],"type":"preprint","date_created":"2021-11-09T14:27:15Z","title":"Efficient algorithm for computing large scale systems of differential  algebraic equations","publication":"arXiv:1506.03963","language":[{"iso":"eng"}],"status":"public","date_updated":"2021-11-10T08:21:43Z","_id":"1518"}