An elementary noniterative quadrature-type method for the numerical solution of a nonlinear equation

Ioakimidis, NI; Anastasselou, EG

dc.contributor.author	Ioakimidis, NI	en
dc.contributor.author	Anastasselou, EG	en
dc.date.accessioned	2014-03-01T01:06:32Z
dc.date.available	2014-03-01T01:06:32Z
dc.date.issued	1986	en
dc.identifier.issn	0010-485X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9454
dc.subject	AMS Subject Classifications: Primary 65H05, secondary: 65D32	en
dc.subject	Cauchy-type principal value integrals	en
dc.subject	convergence	en
dc.subject	Gauss- and Lobatto-Chebyshev quadrature rules	en
dc.subject	nonlinear equations	en
dc.subject	numerical integration	en
dc.subject	roots	en
dc.subject	transcendental equations	en
dc.subject	zeros	en
dc.subject.classification	Computer Science, Theory & Methods	en
dc.subject.other	GAUSS QUADRATURE RULES	en
dc.subject.other	LOBATTO-CHEBYSHEV QUADRATURE RULES	en
dc.subject.other	NONITERATIVE QUADRATURE-TYPE METHOD	en
dc.subject.other	NUMERICAL METHODS	en
dc.subject.other	MATHEMATICAL TECHNIQUES	en
dc.title	An elementary noniterative quadrature-type method for the numerical solution of a nonlinear equation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02252519	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02252519	en
heal.language	English	en
heal.publicationDate	1986	en
heal.abstract	A simple noniterative method for the numerical determination of one simple root of a nonlinear differentiable algebraic or transcendental function along a finite real interval is proposed. This method is based on the computation of an integral involving the above function both by the Gauss- and the Lobatto-Chebyshev quadrature rules for regular integrals and equating the obtained results. The convergence of the method is proved under mild assumptions and numerical results for two classical transcendental equations are presented. © 1986 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Computing	en
dc.identifier.doi	10.1007/BF02252519	en
dc.identifier.isi	ISI:A1986E772500009	en
dc.identifier.volume	37	en
dc.identifier.issue	3	en
dc.identifier.spage	269	en
dc.identifier.epage	275	en