Advances in Multivariate Approximation
Werner Hau▀mann, Kurt Jetter, Manfred Reimer
Wiley, Nov 12, 1999 - Mathematics - 334 pages
These are the Proceedings of the 3rd International Conference on Multivariate Approximation, which was held at Witten-Bommerholz from September 27 until October 2, 1998. The contributions consist of elaborations and extensions of the main results presented during the conference. The following topics are covered: Node Distributions on the Sphere, Positive Quadratures, Discrepancy and Spherical Designs, Fekete Points, Interpolation and Hyperinterpolation on the Sphere, Modelling of Geopotential Data, Periodic, Monotone and Convex Approximations, Stability of the Fast Fourier Transform, Interpolation with Bivariate Splines and Periodic Functions, Range Restricted Interpolation, Saturation Phenomena for Box Spline Operators, Universal Harmonic Functions, Best One-Sided Approximation by Harmonic and Blending Functions, Besov Regularity for the Stokes Problem, Spherical Polynomial Approximations, Simultaneous Approximation in the Dirichlet Space, Weighted K-Functionals and Moduli of Smoothness.
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Dense Vector Spaces of Universal Harmonic Functions
Numerical Stability of Fast Fourier Transforms
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65th birthday Abstract Advances in Multivariate algorithm Approx Approximation Theory arbitrary asymptotically Berlin Besov spaces best one-sided L1 bivariate blending functions bounded box spline Clough-Tocher compute constant construction convergence corresponding cubature cubature formula defined definition denote Dortmund dyadic rational equally spaced points equations error estimate exists Farrell set filter finite follows Fourier coefficients fundamental interpolant Gegenbauer polynomials Germany email given harmonic functions harmonic polynomial Haufimann Hence Hermite interpolation Hilbert space hyperinterpolation integration ISBN Jetter Lemma linear Manfred Reimer Math Mathematical Research Mathematik Mergelyan set method minimal Multivariate Approximation nodes number of points numerical numerical stability obtain operator orthogonal projection periodic Strang-Fix conditions polynomials of degree precomputed problem proof of Theorem properties Proposition proved quadrature domain quadrature rule Reimer eds satisfies scaling function smoothness sparse grids sphere spherical designs splines subset Theorem 2.1 triangulations uniform norm univariate Universitat vector wavelets weights WILEY-VCH zero