Application of Gröbner bases to problems of movement of a particle

Ioakimidis, NI; Anastasselou, EG

dc.contributor.author	Ioakimidis, NI	en
dc.contributor.author	Anastasselou, EG	en
dc.date.accessioned	2014-03-01T01:09:43Z
dc.date.available	2014-03-01T01:09:43Z
dc.date.issued	1994	en
dc.identifier.issn	0898-1221	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11160
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-38149145575&partnerID=40&md5=b17d10f8319e8c8349de6e9da54d3dd9	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	GEOMETRY	en
dc.title	Application of Gröbner bases to problems of movement of a particle	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1994	en
heal.abstract	The classical method of Gröbner bases for multivariate polynomials in computer algebra and the related Buchberger's algorithm and its modifications for the computation of such bases are applied to some elementary problems of kinematics as well as to the classical Kepler-Newton problem in celestial mechanics, where, beyond the variables in the polynomials, the differential operator D appears as well. The popular computer algebra system Maple V and the related standard package were used for this purpose and several possibilities of using Gröbner bases for the proof and/or the derivation of formulae in mechanics are illustrated. The present results generalize well-known results for the proof/derivation of geometric theorems by using classical Gröbner bases and related techniques and they illustrate the power of commercial computer algebra systems in the aforementioned tasks in kinematics. Modifications and generalizations of the present approach are also possible. © 1994.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Computers and Mathematics with Applications	en
dc.identifier.isi	ISI:A1994MP68700007	en
dc.identifier.volume	27	en
dc.identifier.issue	3	en
dc.identifier.spage	51	en
dc.identifier.epage	57	en