Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.cam.2017.02.022 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
Gaussian quadrature,Quintic splines,Peano kernel,B-splines,C1 continuity,Quadrature for isogeometric analysis | Gauss–Kronrod quadrature formula,Discrete mathematics,Mathematical optimization,Mathematical analysis,Tanh-sinh quadrature,Clenshaw–Curtis quadrature,Gauss–Hermite quadrature,Quadrature domains,Gauss–Jacobi quadrature,Gaussian quadrature,Mathematics,Gauss–Laguerre quadrature | Journal |
Volume | ISSN | Citations |
322 | 0377-0427 | 3 |
PageRank | References | Authors |
0.45 | 6 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Michael Barton | 1 | 111 | 12.52 |
| Rachid Ait-Haddou | 2 | 4 | 1.15 |
| Victor M. Calo | 3 | 191 | 38.14 |