TY - JOUR
T1 - Explicit Gaussian quadrature rules for C^1 cubic splines with symmetrically stretched knot sequence
AU - Ait-Haddou, Rachid
AU - Barton, Michael
AU - Calo, Victor M.
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2015/6/19
Y1 - 2015/6/19
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/558455
UR - http://linkinghub.elsevier.com/retrieve/pii/S0377042715003301
UR - http://www.scopus.com/inward/record.url?scp=84946749677&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2015.06.008
DO - 10.1016/j.cam.2015.06.008
M3 - Article
SN - 0377-0427
VL - 290
SP - 543
EP - 552
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
ER -