A general spline differential quadrature method based on quasi-interpolation

• Autores: D. Barrera, P. González, F. Ibáñez, M.J. Ibáñez
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 275, Nº 1, 2015, págs. 465-479
• Idioma: inglés
• DOI: 10.1016/j.cam.2014.02.006
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• Resumen

  • 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.