Bases and dimensions of bivariate hierarchical tensor-product splines
نویسندگان
چکیده
منابع مشابه
Bases and dimensions of bivariate hierarchical tensor-product splines
We prove that the dimension of bivariate tensor–product spline spaces of bi– degree (d, d) with maximum order of smoothness on a multi–cell domain (more precisely, on a set of cells from a tensor–product grid) is equal to the number of tensor–product B–spline basis functions, defined by only single knots in both directions, acting on the considered domain. A certain reasonable assumption on the...
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for all x ∈ Ω. One practical aspect to consider in the evaluation of the function f is the stability with respect to perturbations of the coefficients, which depends on the chosen basis of the space. We want to know how sensitive a value f(x) is to random perturbations of a given maximum relative magnitude ε in the coefficients (c0, . . . , cn) corresponding to the basis. Following [6], we can ...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2013
ISSN: 0377-0427
DOI: 10.1016/j.cam.2012.09.031