Annihilation of loading parameters in classical numerical methods with differential equations

Ioakimidis, NI; Anastasselou, EG

dc.contributor.author	Ioakimidis, NI	en
dc.contributor.author	Anastasselou, EG	en
dc.date.accessioned	2014-03-01T01:11:43Z
dc.date.available	2014-03-01T01:11:43Z
dc.date.issued	1996	en
dc.identifier.issn	0045-7949	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11788
dc.subject	Applied Mechanics	en
dc.subject	Differential Equation	en
dc.subject	Differential Operators	en
dc.subject	Linear Algebra	en
dc.subject	Linear Differential Equation	en
dc.subject	Numerical Method	en
dc.subject	Singular Integral Equation	en
dc.subject	Symbolic Computation	en
dc.subject	Right Hand Side	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Engineering, Civil	en
dc.subject.other	Approximation theory	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Integral equations	en
dc.subject.other	Mathematical operators	en
dc.subject.other	Mechanics	en
dc.subject.other	Numerical methods	en
dc.subject.other	Annihilation	en
dc.subject.other	Linear algebraic equations	en
dc.subject.other	Loading conditions	en
dc.subject.other	Differential equations	en
dc.title	Annihilation of loading parameters in classical numerical methods with differential equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0045-7949(95)00257-X	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0045-7949(95)00257-X	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	Classical numerical methods for the solution of applied mechanics and engineering problems usually lead to systems of linear algebraic equations. In the case when a parameter appears in the loading conditions, the same parameter appears also in the right-hand side of one or more than one of the aforementioned equations. Here the method of annihilation of this parameter, by applying appropriate linear differential operators to both sides of the linear algebraic equations including the parameter, is used. In this way, the whole problem can be solved by solving the resulting system of ordinary linear differential equations completely numerically, and symbolic computations are avoided. The case of Cauchy-type singular integral equations is used for the illustration of the method and related numerical results are presented. Further possibilities are also discussed in brief. Finally, the automatic derivation of the aforementioned annihilating operators, by using Gröbner bases, is considered.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Computers and Structures	en
dc.identifier.doi	10.1016/0045-7949(95)00257-X	en
dc.identifier.isi	ISI:A1996TZ17100005	en
dc.identifier.volume	59	en
dc.identifier.issue	2	en
dc.identifier.spage	265	en
dc.identifier.epage	271	en