Results 1 to 10 of about 11,212,788 (264)
Approximation Order of Bivariate Spline Interpolation
Journal of Approximation Theory, 1996 The author considers the approximation order of certain bivariate polynomial spline Hermite interpolants which are defined for a specific class of triangulations. More precisely, these triangulations are obtained by partitioning a given rectangle into uniform subrectangles, and splitting each such subrectangle into two triangles using the upward ...
G. Nürnberger
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Fourier Dimension Estimates for Sets of Exact Approximation Order: The Well-Approximable Case [PDF]
International mathematics research notices, 2021 We obtain a Fourier dimension estimate for sets of exact approximation order introduced by Bugeaud for certain approximation functions $\psi $. This Fourier dimension estimate implies that these sets of exact approximation order contain normal numbers.
Robert Fraser, Reuben Wheeler
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Body-Ordered Approximations of Atomic Properties [PDF]
Archive for Rational Mechanics and Analysis, 2022 AbstractWe show that the local density of states (LDOS) of a wide class of tight-binding models has a weak body-order expansion. Specifically, we prove that the resulting body-order expansion for analytic observables such as the electron density or the energy has an exponential rate of convergence both at finite Fermi-temperature as well as for ...
Jack Thomas +2 more
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Approximation order and approximate sum rules in subdivision [PDF]
Journal of Approximation Theory, 2014 Several properties of stationary subdivision schemes are nowadays well understood. In particular, it is known that the polynomial generation and reproduction capability of a stationary subdivision scheme is strongly connected with sum rules, its ...
C. Conti, Lucia Romani, Jungho Yoon
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Approximate deconvolution reduced order modeling [PDF]
Computer Methods in Applied Mechanics and Engineering, 2017 This paper proposes a large eddy simulation reduced order model(LES-ROM) framework for the numerical simulation of realistic flows. In this LES-ROM framework, the proper orthogonal decomposition(POD) is used to define the ROM basis and a POD differential filter is used to define the large ROM structures.
Xie, X. +3 more
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Consistent Approximation of Fractional Order Operators [PDF]
Journal of Dynamic Systems, Measurement, and Control, 2021 Abstract Fractional order controllers become increasingly popular due to their versatility and superiority in various performances. However, the bottleneck in deploying these tools in practice is related to their analog or numerical implementation.
Wei, Yiheng +3 more
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Inverse results of approximation and the saturation order for the sampling Kantorovich series
Journal of Approximation Theory, 2019 In the present paper, we study the saturation order for the sampling Kantorovich series in the space of uniformly continuous and bounded functions.
D. Costarelli, G. Vinti
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Approximate Derivations of Order n [PDF]
Acta Mathematica Hungarica, 2014 The aim of this paper is to prove characterization theorems for higher order derivations. Among others we prove that the system defining higher order derivations is stable. Further characterization theorems in the spirit of N.~G.~de Bruijn will also be presented.
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Approximate Partial Order Reduction [PDF]
, 2018 23 pages, 5 figures. Accepted at 22nd International Symposium on Formal Methods (FM 2018)
Fan, Chuchu, Huang, Zhenqi, Mitra, Sayan
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HIGHER-ORDER GEOSTROPHIC WIND APPROXIMATIONS
Monthly Weather Review, 1962 Abstract Two iterative methods are described for obtaining horizontal winds from the pressure-height field by means of higher-order geostrophic approximations for the purpose of improving upon the geostrophic wind. The convergence properties of the iterative methods are discussed; and in a simple theoretical case, one of the methods is found to diverge
Arnason, G. +2 more
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