{"date_updated":"2024-11-25T07:13:35Z","type":"journal_article","author":[{"full_name":"Qin, Xiaolin","first_name":"Xiaolin","last_name":"Qin"},{"first_name":"Lu","last_name":"Yang","full_name":"Yang, Lu"},{"full_name":"Feng, Yong","first_name":"Yong","last_name":"Feng"},{"id":"33931","full_name":"Bachmann, Bernhard","orcid":"0000-0002-4339-0438","first_name":"Bernhard","last_name":"Bachmann","orcid_put_code_url":"https://api.orcid.org/v2.0/0000-0002-4339-0438/work/102900647"},{"last_name":"Fritzson","first_name":"Peter","full_name":"Fritzson, Peter"}],"publication_identifier":{"issn":["00963003"]},"status":"public","volume":328,"page":"189-202","publisher":"Elsevier BV","publication":"Applied Mathematics and Computation","main_file_link":[{"open_access":"1","url":"https://ideas.repec.org/a/eee/apmaco/v328y2018icp189-202.html"}],"year":"2018","abstract":[{"lang":"eng","text":"High index differential algebraic equations (DAEs) are ordinary differential equations (ODEs) with constraints and arise frequently from many mathematical models of physical phenomenons and engineering fields. In this paper, we generalize the idea of differential elimination with Dixon resultant to polynomially nonlinear DAEs. We propose a new algorithm for index reduction of DAEs and establish the notion of differential Dixon resultant, which can provide the differential resultant of the enlarged system of original equations. To make use of structure of DAEs, variable pencil technique is given to determine the termination of differentiation. Moreover, we also provide a heuristic method for removing the extraneous factors from differential resultant. The experimentation shows that the proposed algorithm outperforms existing ones for many examples taken from the literature."}],"title":"Index reduction of differential algebraic equations by differential Dixon resultant","_id":"1489","language":[{"iso":"eng"}],"citation":{"ama":"Qin X, Yang L, Feng Y, Bachmann B, Fritzson P. Index reduction of differential algebraic equations by differential Dixon resultant. <i>Applied Mathematics and Computation</i>. 2018;328:189-202. doi:<a href=\"https://doi.org/10.1016/j.amc.2017.12.029\">10.1016/j.amc.2017.12.029</a>","mla":"Qin, Xiaolin, et al. “Index Reduction of Differential Algebraic Equations by Differential Dixon Resultant.” <i>Applied Mathematics and Computation</i>, vol. 328, Elsevier BV, 2018, pp. 189–202, doi:<a href=\"https://doi.org/10.1016/j.amc.2017.12.029\">10.1016/j.amc.2017.12.029</a>.","ieee":"X. Qin, L. Yang, Y. Feng, B. Bachmann, and P. Fritzson, “Index reduction of differential algebraic equations by differential Dixon resultant,” <i>Applied Mathematics and Computation</i>, vol. 328, pp. 189–202, 2018.","alphadin":"<span style=\"font-variant:small-caps;\">Qin, Xiaolin</span> ; <span style=\"font-variant:small-caps;\">Yang, Lu</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>: Index reduction of differential algebraic equations by differential Dixon resultant. In: <i>Applied Mathematics and Computation</i> Bd. 328, Elsevier BV (2018), S. 189–202","apa":"Qin, X., Yang, L., Feng, Y., Bachmann, B., &#38; Fritzson, P. (2018). Index reduction of differential algebraic equations by differential Dixon resultant. <i>Applied Mathematics and Computation</i>, <i>328</i>, 189–202. <a href=\"https://doi.org/10.1016/j.amc.2017.12.029\">https://doi.org/10.1016/j.amc.2017.12.029</a>","chicago":"Qin, Xiaolin, Lu Yang, Yong Feng, Bernhard Bachmann, and Peter Fritzson. “Index Reduction of Differential Algebraic Equations by Differential Dixon Resultant.” <i>Applied Mathematics and Computation</i> 328 (2018): 189–202. <a href=\"https://doi.org/10.1016/j.amc.2017.12.029\">https://doi.org/10.1016/j.amc.2017.12.029</a>.","bibtex":"@article{Qin_Yang_Feng_Bachmann_Fritzson_2018, title={Index reduction of differential algebraic equations by differential Dixon resultant}, volume={328}, DOI={<a href=\"https://doi.org/10.1016/j.amc.2017.12.029\">10.1016/j.amc.2017.12.029</a>}, journal={Applied Mathematics and Computation}, publisher={Elsevier BV}, author={Qin, Xiaolin and Yang, Lu and Feng, Yong and Bachmann, Bernhard and Fritzson, Peter}, year={2018}, pages={189–202} }","short":"X. Qin, L. Yang, Y. Feng, B. Bachmann, P. Fritzson, Applied Mathematics and Computation 328 (2018) 189–202."},"user_id":"35437","doi":"10.1016/j.amc.2017.12.029","publication_status":"published","intvolume":"       328","oa":"1","date_created":"2021-11-09T12:55:26Z"}