Explicit Gaussian quadrature rules for C1 cubic splines with symmetrically stretched knot sequences

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:290

Article

Ait-Haddou, Rachid¹  Barton, Michael²  Calo, Victor Manuel² 

[1] King Abdullah Univ Sci & Technol, Visual Comp Ctr, Thuwal 239556900, Saudi Arabia

[2] King Abdullah Univ Sci & Technol, Numer Porous Media Ctr, Thuwal 23956900, Saudi Arabia

关键词: Gaussian quadrature;    Cubic splines;    Peano kernel;    B-splines;   

DOI  :  10.1016/j.cam.2015.06.008

来源: Elsevier

【 摘 要 】

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. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free