Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638623 | Journal of Computational and Applied Mathematics | 2015 | 15 Pages |
Abstract
The differential quadrature method is a numerical discretization technique for the approximation of derivatives. The classical method is polynomial-based, and there is a natural restriction in the number of grid points involved. A general spline-based method is proposed to avoid this problem. For any degree a Lagrangian spline interpolant is defined having a fundamental function with small support. A quasi-interpolant is used to achieve the optimal approximation order. That two-stage scheme is detailed for the cubic, quartic, quintic and sextic cases and compared with another methods that appear in the literature.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
D. Barrera, P. González, F. Ibáñez, M.J. Ibáñez,