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Titlebook: Approximation Theory XVI; Nashville, TN, USA, Gregory E. Fasshauer,Marian Neamtu,Larry L. Schuma Conference proceedings 2021 Springer Natu

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发表于 2025-3-21 19:32:06 | 显示全部楼层 |阅读模式
期刊全称Approximation Theory XVI
期刊简称Nashville, TN, USA,
影响因子2023Gregory E. Fasshauer,Marian Neamtu,Larry L. Schuma
视频video
发行地址Includes survey articles on nonstationary subdivision and Prony’s method.Includes 11 research papers on approximation theory.Covers both theory and applications of approximation theory
学科分类Springer Proceedings in Mathematics & Statistics
图书封面Titlebook: Approximation Theory XVI; Nashville, TN, USA,  Gregory E. Fasshauer,Marian Neamtu,Larry L. Schuma Conference proceedings 2021 Springer Natu
影响因子.These proceedings are based on the international conference Approximation Theory XVI held on May 19–22, 2019 in Nashville, Tennessee. The conference was the sixteenth in a series of meetings in Approximation Theory held at various locations in the United States.  Over 130 mathematicians from 20 countries attended.  The book contains two longer survey papers on nonstationary subdivision and Prony’s method, along with 11 research papers on a variety of topics in approximation theory, including Balian-Low theorems, butterfly spline interpolation, cubature rules, Hankel and Toeplitz matrices, phase retrieval, positive definite kernels, quasi-interpolation operators, stochastic collocation, the gradient conjecture, time-variant systems, and trivariate finite elements. The book should be of interest to mathematicians, engineers, and computer scientists working in approximation theory, computer-aided geometric design, numerical analysis, and related approximation areas..
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发表于 2025-3-21 21:45:42 | 显示全部楼层
-Quartic Butterfly-Spline Interpolation on Type-1 Triangulations,chieved by defining the associated Bernstein-Bézier coefficients from point values of the function to be approximated in such a way that .. regularity is obtained for enough regular functions as well as the optimal order of approximation. We construct such interpolating splines by combining a quasi-
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发表于 2025-3-22 06:15:20 | 显示全部楼层
Non-stationary Subdivision Schemes: State of the Art and Perspectives,ete data, by repeated level dependent linear refinements. In particular the paper emphasises the potentiality of these schemes and the wide perspective they open, in comparison with stationary schemes based on level-independent linear refinements.
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On DC Based Methods for Phase Retrieval,ss of phase retrieval problems. The approach splits a standard nonlinear least squares minimizing function associated with the phase retrieval problem into the difference of two convex functions and then solves a sequence of convex minimization subproblems. For each subproblem, the Nesterov accelera
发表于 2025-3-22 20:08:59 | 显示全部楼层
,Modifications of Prony’s Method for the Recovery and Sparse Approximation with Generalized Exponentlinear differential operators of first order. We show, how these expansions can be reconstructed from function samples using generalized shift operators. We derive an ESPRIT-like algorithm for the generalized recovery method and illustrate, how the method can be simplified if some frequency paramete
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发表于 2025-3-23 01:27:46 | 显示全部楼层
Quasi-Interpolant Operators and the Solution of Fractional Differential Problems,y available, there is a great effort in constructing efficient numerical methods for their solution. In this paper we are interested in solving boundary value problems having space derivative of fractional order. To this end, we present a collocation method in which the solution of the fractional pr
发表于 2025-3-23 08:42:43 | 显示全部楼层
Stochastic Collocation with Hierarchical Extended B-Splines on Sparse Grids,h the dimensionality. Sparse grids are an established technique to mitigate this curse of dimensionality, and spatial adaptivity automatically selects only the most significant grid points. To compensate for missing boundary points of the sparse grids, the B-spline basis functions so far have been m
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