Singularity of bivariate interpolation
β Scribed by Spassimir H Paskov
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 855 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0021-9045
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π SIMILAR VOLUMES
In [G. Nu rnberger and Th. Riessinger, Numer. Math. 71 (1995), 91 119], we developed an algorithm for constructing point sets at which unique Lagrange interpolation by spaces of bivariate splines of arbitrary degree and smoothness on uniform type triangulations is possible. Here, we show that simila
Two new methods of bivariate interpolation suitable for experimental designs are summarized. The methods use experimental data obtained in usual manner. The programs are short and rapid and are often more accurate on test functions than the standard method. This article is an extension of an earlie
Birkhoff quadrature formulae (q.f.), which have algebraic degree of precision (ADP) greater than the number of values used, are studied. In particular, we construct a class of quadrature rules of \(\mathrm{ADP}=2 n+2 r+1\) which are based on the information \(\left\{f^{(j)}(-1), f^{(1 \prime}(1), j=
In this paper, Hermite interpolation by bivariate algebraic polynomials of total degree n is considered. The interpolation parameters are the values of a function and its partial derivatives up to some order n & &1 at the nodes z & =(x & , y & ), &=1, ..., s, where n & is the multiplicity of z & . T