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Decompositions of trigonometric polynomials with applications to multivariate subdivision schemes
Springer Science and Business Media LLC - Tập 38 Số 2 - Trang 321-349 - 2013
Nira Dyn, M. Skopina
Constructing C3 shape preserving interpolating space curves
Springer Science and Business Media LLC - Tập 14 - Trang 103-127 - 2001
P. Costantini, T.N.T. Goodman, C. Manni
We present a method for constructing shape-preserving C 3 interpolants in R 3. The resulting curve is obtained by adding a polynomial perturbation of high degree to a curve which is shape-preserving but not sufficiently smooth. The degree of the perturbed curve is selected in order to maintain the shape properties of the basic curve.
Author Index
Springer Science and Business Media LLC - - 2004
Computation of interpolatory splines via triadic subdivision
Springer Science and Business Media LLC - Tập 32 - Trang 63-72 - 2008
Valery A. Zheludev, Amir Z. Averbuch
We present an algorithm for the computation of interpolatory splines of arbitrary order at triadic rational points. The algorithm is based on triadic subdivision of splines. Explicit expressions for the subdivision symbols are established. These are rational functions. The computations are implemented by recursive filtering.
Author Index
Springer Science and Business Media LLC - - 2003
Duality and Riemannian cubics
Springer Science and Business Media LLC - Tập 25 Số 1-3 - Trang 195-209 - 2006
Lyle Noakes
Errata
Springer Science and Business Media LLC - Tập 21 Số 3/4 - Trang 445 - 2004
A fully diagonalized spectral method using generalized Laguerre functions on the half line
Springer Science and Business Media LLC - Tập 43 - Trang 1227-1259 - 2017
Fu-Jun Liu, Zhong-Qing Wang, Hui-Yuan Li
A fully diagonalized spectral method using generalized Laguerre functions is proposed and analyzed for solving elliptic equations on the half line. We first define the generalized Laguerre functions which are complete and mutually orthogonal with respect to an equivalent Sobolev inner product. Then the Fourier-like Sobolev orthogonal basis functions are constructed for the diagonalized Laguerre sp...... hiện toàn bộ
Flexible piecewise approximations based on partition of unity
Springer Science and Business Media LLC - Tập 23 Số 1-2 - Trang 191-199 - 2005
Weimin Han, Wing Kam Liu
Accuracy of radial basis function interpolation and derivative approximations on 1-D infinite grids
Springer Science and Business Media LLC - Tập 23 - Trang 5-20 - 2005
Bengt Fornberg, Natasha Flyer
Radial basis function (RBF) interpolation can be very effective for scattered data in any number of dimensions. As one of their many applications, RBFs can provide highly accurate collocation-type numerical solutions to several classes of PDEs. To better understand the accuracy that can be obtained, we survey here derivative approximations based on RBFs using a similar Fourier analysis approach t...... hiện toàn bộ
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