Results 11 to 20 of about 465 (27)
Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres [PDF]
, 2015 Convolution is an important tool in the construction of positive definite kernels on a manifold. This contribution provides conditions on an $L^2$-positive definite and zonal kernel on the unit sphere of $\mathbb{C}^q$ in order that the kernel can be ...
Barbosa, Victor S., Menegatto, Valdir A.
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Polyharmonic approximation on the sphere [PDF]
, 2009 The purpose of this article is to provide new error estimates for a popular type of SBF approximation on the sphere: approximating by linear combinations of Green's functions of polyharmonic differential operators.
B.J.C. Baxter +17 more
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Trivariate polynomial approximation on Lissajous curves [PDF]
, 2015 We study Lissajous curves in the 3-cube, that generate algebraic cubature formulas on a special family of rank-1 Chebyshev lattices. These formulas are used to construct trivariate hyperinterpolation polynomials via a single 1-d Fast Chebyshev Transform (
Bos, Len +2 more
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Fast cubature of volume potentials over rectangular domains [PDF]
, 2013 In the present paper we study high-order cubature formulas for the computation of advection-diffusion potentials over boxes. By using the basis functions introduced in the theory of approximate approximations, the cubature of a potential is reduced to ...
Lanzara, Flavia +2 more
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Wendland functions with increasing smoothness converge to a Gaussian
, 2013 The Wendland functions are a class of compactly supported radial basis functions with a user-specified smoothness parameter. We prove that with a linear change of variables, both the original and the "missing" Wendland functions converge uniformly to a ...
Chernih, A. +2 more
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, 2007 The error between appropriately smooth functions and their radial basis function interpolants, as the interpolation points fill out a bounded domain in R^d, is a well studied artifact. In all of these cases, the analysis takes place in a natural function
F.J. Narcowich +8 more
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Extending the range of error estimates for radial approximation in Euclidean space and on spheres
, 2006 We adapt Schaback's error doubling trick [R. Schaback. Improved error bounds for scattered data interpolation by radial basis functions. Math. Comp., 68(225):201--216, 1999.] to give error estimates for radial interpolation of functions with smoothness ...
Duchon J. +4 more
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The Breadth-one $D$-invariant Polynomial Subspace [PDF]
, 2014 We demonstrate the equivalence of two classes of $D$-invariant polynomial subspaces introduced in [8] and [9], i.e., these two classes of subspaces are different representations of the breadth-one $D$-invariant subspace.
Jiang, Xue, Zhang, Shugong
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Tractability of the approximation of high-dimensional rank one tensors [PDF]
, 2014 We study the approximation of high-dimensional rank one tensors using point evaluations and consider deterministic as well as randomized algorithms.
Novak, Erich, Rudolf, Daniel
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Transfinite thin plate spline interpolation
, 2009 Duchon's method of thin plate splines defines a polyharmonic interpolant to scattered data values as the minimizer of a certain integral functional. For transfinite interpolation, i.e.
A. Bejancu +17 more
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