Explicit Gaussian quadrature rules for C^1 cubic splines with symmetrically stretched knot sequence

Handle URI:
http://hdl.handle.net/10754/558455
Title:
Explicit Gaussian quadrature rules for C^1 cubic splines with symmetrically stretched knot sequence
Authors:
Ait-Haddou, Rachid; Barton, Michael ( 0000-0002-1843-251X ) ; Calo, Victor M. ( 0000-0002-1805-4045 )
Abstract:
We provide explicit expressions for quadrature rules on the space of C^1 cubic splines with non-uniform, symmetrically stretched knot sequences. The quadrature nodes and weights are derived via an explicit recursion that avoids an intervention of any numerical solver and the rule is optimal, that is, it requires minimal number of nodes. Numerical experiments validating the theoretical results and the error estimates of the quadrature rules are also presented.
KAUST Department:
Visual Computing Center (VCC); Numerical Porous Media SRI Center (NumPor)
Citation:
Explicit Gaussian quadrature rules for C^1 cubic splines with symmetrically stretched knot sequence 2015 Journal of Computational and Applied Mathematics
Journal:
Journal of Computational and Applied Mathematics
Issue Date:
19-Jun-2015
DOI:
10.1016/j.cam.2015.06.008
Type:
Article
ISSN:
03770427
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S0377042715003301
Appears in Collections:
Articles; Visual Computing Center (VCC)

Full metadata record

DC FieldValue Language
dc.contributor.authorAit-Haddou, Rachiden
dc.contributor.authorBarton, Michaelen
dc.contributor.authorCalo, Victor M.en
dc.date.accessioned2015-06-23T12:54:44Zen
dc.date.available2015-06-23T12:54:44Zen
dc.date.issued2015-06-19en
dc.identifier.citationExplicit Gaussian quadrature rules for C^1 cubic splines with symmetrically stretched knot sequence 2015 Journal of Computational and Applied Mathematicsen
dc.identifier.issn03770427en
dc.identifier.doi10.1016/j.cam.2015.06.008en
dc.identifier.urihttp://hdl.handle.net/10754/558455en
dc.description.abstractWe provide explicit expressions for quadrature rules on the space of C^1 cubic splines with non-uniform, symmetrically stretched knot sequences. The quadrature nodes and weights are derived via an explicit recursion that avoids an intervention of any numerical solver and the rule is optimal, that is, it requires minimal number of nodes. Numerical experiments validating the theoretical results and the error estimates of the quadrature rules are also presented.en
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S0377042715003301en
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational and Applied Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational and Applied Mathematics, 19 June 2015. DOI: 10.1016/j.cam.2015.06.008en
dc.subjectGaussian quadratureen
dc.subjectCubic splinesen
dc.subjectPeano kernelen
dc.subjectB-splinesen
dc.titleExplicit Gaussian quadrature rules for C^1 cubic splines with symmetrically stretched knot sequenceen
dc.typeArticleen
dc.contributor.departmentVisual Computing Center (VCC)en
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)en
dc.identifier.journalJournal of Computational and Applied Mathematicsen
dc.eprint.versionPost-printen
kaust.authorAit-Haddou, Rachiden
kaust.authorBarton, Michaelen
kaust.authorCalo, Victor M.en
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