Error bounds on the approximation of functions and partial derivatives by quadratic spline quasi-interpolants on non-uniform criss-cross triangulations of a rectangular domain

Author:

Dagnino Catterina,Remogna Sara,Sablonnière Paul

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software

Reference31 articles.

1. Allouch, C.: Quasi-interpolants splines et application aux équations intégrales. Ph.D. Thesis, Universities of Oujda (Marocco) and Rennes 1, France (2011)

2. Barrera, D., Ibáñez, M.J.: Minimizing the quasi-interpolation error for bivariate discrete quasi-interpolants. J. Comput. Appl. Math. 224, 250–268 (2009)

3. Brunner, H.: The numerical solution of weakly singular Volterra integral equations by collocation on graded meshes. Math. Comput. 45, 417–437 (1985)

4. Chui, C.K., Schumaker, L.L., Wang, R.H.: On spaces of piecewise polynomials with boundary conditions III. Type-2 triangulations. J. Can. Math. Soc. 3, 67–80 (1983). Conference Proceedings

5. Chui, C.K., Wang, R.H.: Concerning C 1 B-splines on triangulations of nonuniform rectangular partitions. Approx. Theory Appl. 1, 11–18 (1984)

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