KMS Of Academy of mathematics and systems sciences, CAS
| Apparent singularities of D-finite systems | |
Chen, Shaoshi1,2 ; Kauers, Manuel3; Li, Ziming1,2; Zhang, Yi4,5
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| 2019-11-01 | |
| Source Publication | JOURNAL OF SYMBOLIC COMPUTATION
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| ISSN | 0747-7171 |
| Volume | 95Pages:217-237 |
| Abstract | We generalize the notions of ordinary points and singularities from linear ordinary differential equations to D-finite systems. Ordinary points and apparent singularities of a D-finite system are characterized in terms of its formal power series solutions. We also show that apparent singularities can be removed like in the univariate case by adding suitable additional solutions to the system at hand. Several algorithms are presented for removing and detecting apparent singularities. In addition, an algorithm is given for computing formal power series solutions of a D-finite system at apparent singularities. (C) 2019 Elsevier Ltd. All rights reserved. |
| Keyword | D-finite system Grobner basis Ordinary point Formal power series Apparent singularity Desingularization |
| DOI | 10.1016/j.jsc.2019.02.009 |
| Language | 英语 |
| Funding Project | NSFC[11771433] ; NSFC[11871067] ; NSFC[11501552] ; NSFC[11688101] ; Frontier Key Project[QYZDJ-SSW-SYS022] ; Fund of the Youth Innovation Promotion Association, CAS ; Austrian Science Fund (FWF)[F50-04] ; Austrian Science Fund (FWF)[Y464-N18] ; Austrian Science Fund (FWF)[P29467-N32] |
| WOS Research Area | Computer Science ; Mathematics |
| WOS Subject | Computer Science, Theory & Methods ; Mathematics, Applied |
| WOS ID | WOS:000470955400013 |
| Publisher | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/34972 |
| Collection | 系统科学研究所 |
| Corresponding Author | Chen, Shaoshi |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Johannes Kepler Univ Linz, Inst Algebra, Linz, Austria 4.Austrian Acad Sci, RICAM, Linz, Austria 5.Univ Texas Dallas, Dept Math Sci, Richardson, TX 75083 USA |
| Recommended Citation GB/T 7714 | Chen, Shaoshi,Kauers, Manuel,Li, Ziming,et al. Apparent singularities of D-finite systems[J]. JOURNAL OF SYMBOLIC COMPUTATION,2019,95:217-237. |
| APA | Chen, Shaoshi,Kauers, Manuel,Li, Ziming,&Zhang, Yi.(2019).Apparent singularities of D-finite systems.JOURNAL OF SYMBOLIC COMPUTATION,95,217-237. |
| MLA | Chen, Shaoshi,et al."Apparent singularities of D-finite systems".JOURNAL OF SYMBOLIC COMPUTATION 95(2019):217-237. |
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