Titlebook: Numerical Methods in Approximation Theory, Vol. 9; Dietrich Braess,Larry L. Schumaker (Stevenson Prof Book 1992 Springer Basel AG 1992 Inv

Self-Help-Group

C1 Interpolation on Higher-Dimensional Analogues of the 4-Direction Mesh,1,...,.}. Sharp necessary and sufficient conditions on data at the vertices of Δ. are given that allow interpolation of the data by .-variate, .. piecewise polynomials of degree . + 1. For degree . + 2 and higher, values and normals at the vertices can be stably interpolated and a unit-norm .. Lagrange function for each vertex is exhibited.

BRACE

异教徒

Spline-Wavelets of Minimal Support,For any finite dimensional univariate spline spaces .. and .. of the same degree, with .. ⊂ .., we determine a basis for the orthogonal complement of .. in ... This basis has minimal support and is of interest in wavelet decompositions.

WATER

habile

Segment Approximation Using Linear Functionals,Properties of linear functionals which annihilate finite dimensional Haar or weak Chebyshev subspaces of .[., .] are studied. It is shown that such functionals can be used to compute optimal sets of knots for piecewise approximation of certain functions in .[., .] with respect to best ..- and ..-approximation.

正面

978-3-0348-9702-0Springer Basel AG 1992

–DOX

合法

使害怕

misanthrope

Tabulation of Thin Plate Splines on a Very Fine Two-Dimensional Grid, that the exponent −1/3 is due to the order of the differences that are employed. An algorithm for this calculation is described and discussed and some numerical results are presented. The errors of the subtabulation procedures are studied in an appendix.