Show simple item record

dc.contributor.authorBarton, M.
dc.contributor.authorAit-Haddou, R.
dc.contributor.authorCalo, Victor
dc.identifier.citationBarton, M. and Ait-Haddou, R. and Calo, V. 2017. Gaussian quadrature rules for C1 quintic splines with uniform knot vectors. Journal of Computational and Applied Mathematics. 322: pp. 57-70.

We provide explicit quadrature rules for spaces of C1 quintic splines with uniform knot sequences over finite domains. The quadrature nodes and weights are derived via an explicit recursion that avoids numerical solvers. Each rule is optimal, that is, requires the minimal number of nodes, for a given function space. For each of n subintervals, generically, only two nodes are required which reduces the evaluation cost by 2/3 when compared to the classical Gaussian quadrature for polynomials over each knot span. Numerical experiments show fast convergence, as n grows, to the “two-third” quadrature rule of Hughes et al. (2010) for infinite domains.

dc.titleGaussian quadrature rules for C1 quintic splines with uniform knot vectors
dc.typeJournal Article
dcterms.source.titleJournal of Computational and Applied Mathematics
curtin.departmentDepartment of Applied Geology
curtin.accessStatusOpen access

Files in this item


This item appears in the following Collection(s)

Show simple item record