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dc.contributor.authorHuang, Weizhang
dc.contributor.authorSloan, David M.
dc.date.accessioned2015-03-02T21:02:40Z
dc.date.available2015-03-02T21:02:40Z
dc.date.issued1992-12-01
dc.identifier.citationHuang, Weizhang & Sloan, David M. "The pseudospectral method for third-order differential equations." SIAM J. Numer. Anal., 29(6), 1626–1647. (22 pages). http://dx.doi.org/10.1137/0729094.en_US
dc.identifier.urihttp://hdl.handle.net/1808/16909
dc.descriptionThis is the published version, also available here: http://dx.doi.org/10.1137/0729094.en_US
dc.description.abstractGeneralized quadrature rules are derived which assist in the selection of collocation points for the pseudospectral solution of differential equations. In particular, it is shown that for an nth-order differential equation in one space dimension with two-point derivative boundary conditions, an ideal choice of interior collocation points is the set of zeros of a Jacobi polynomial. The pseudospectral solution of a third-order initial-boundary value problem is considered and accuracy is assessed by examining how well the discrete eigenproblem approximates the continuous one. Convergence is established for a special choice of collocation points and numerical results are included to demonstrate the viability of the approach.en_US
dc.publisherSociety for Industrial and Applied Mathematicsen_US
dc.subjectpseudospect methoden_US
dc.subjectthird-order differential equationen_US
dc.subjectgeneralized quadrature rulesen_US
dc.subjectJacobi polynomialsen_US
dc.titleThe pseudospectral method for third-order differential equationsen_US
dc.typeArticle
kusw.kuauthorHuang, Weizhang
kusw.kudepartmentMathematicsen_US
dc.identifier.doi10.1137/0729094
kusw.oaversionScholarly/refereed, publisher version
kusw.oapolicyThis item does not meet KU Open Access policy criteria.
dc.rights.accessrightsopenAccess


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