Show simple item record

dc.contributor.authorSegura Sala, José Javier 
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2013-09-12T06:58:26Z
dc.date.available2013-09-12T06:58:26Z
dc.date.issued2010-04
dc.identifier.issn0036-1429
dc.identifier.issn1095-7170
dc.identifier.urihttp://hdl.handle.net/10902/3207
dc.description.abstractA fourth order fixed point method to compute the zeros of solutions of second order homogeneous linear ODEs is obtained from the approximate integration of the Riccati equation associated with the ODE. The method requires the evaluation of the logarithmic derivative of the function and also uses the coefficients of the ODE. An algorithm to compute with certainty all the zeros in an interval is given which provides a fast, reliable, and accurate method of computation. The method is illustrated by the computation of the zeros of Gauss hypergeometric functions (including Jacobi polynomials) and confluent hypergeometric functions (Laguerre polynomials, Hermite polynomials, and Bessel functions included) among others. The examples show that typically 4 or 5 iterations per root are enough to provide more than 100 digits of accuracy, without requiring a priori estimations of the roots.es_ES
dc.format.extent18 p.es_ES
dc.language.isoenges_ES
dc.publisherSociety for Industrial and Applied Mathematicses_ES
dc.rights© 2010 Society for Industrial and Applied Mathematicses_ES
dc.sourceSIAM Journal on Numerical Analysis, Vol. 48, No. 2, pp. 452–469es_ES
dc.subject.otherSecond order ODEses_ES
dc.subject.otherZeroses_ES
dc.subject.otherFixed point methodes_ES
dc.subject.otherSturm theoremes_ES
dc.titleReliable Computation of the Zeros of Solutions of Second Order Linear ODEs Using a Fourth Order Methodes_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttp://dx.doi.org/10.1137/090747762es_ES
dc.rights.accessRightsopenAccesses_ES
dc.identifier.DOI10.1137/090747762
dc.type.versionpublishedVersiones_ES


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record