Piecewise Hermite interpolation in one and two variables with applications to partial differential equations

Author:

Birkhoff G.,Schultz M. H.,Varga R. S.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference26 articles.

1. Ahlin, A. C.: A bivariate generalization of Hermite's interpolation formula. Math. Comp.18, 264–273 (1964).

2. Beckenbach, E., andR. Bellman: Inequalities. Berlin-Göttingen-Heidelberg: Springer 1961.

3. Birkhoff, G., andC. de Boor: Piecewise polynomial interpolation and approximation. Approximation of functions.H. L. Garabedian, ed. New York: Elsevier 1965.

4. —, andA. Priver: Hermite interpolation errors for derivatives. J. Math. and Phys. (to appear).

5. Bramble, J. H., andB. E. Hubbard: On the formulation of finite difference analogs of the Dirichlet problem for Poisson's equation. Numer. Math.4, 313–327 (1962).

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