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Lagrange and hermite interpolation by bivariate splines

1992; Taylor & Francis; Volume: 13; Issue: 1-2 Linguagem: Inglês

10.1080/01630569208816462

1532-2467

Günther Nürnberger, Th. Riessinger,

Advanced Numerical Analysis Techniques

We develop methods for constructing sets of points which admit Lagrange and Hermite type interpolation by spaces of bivariate splines on rectangular and triangular partitions which are uniform, in general. These sets are generated by building up a net of lines and by placing points on these lines which satisfy interlacing properties for univariate spline spaces.