Construction of Multivariate Interpolation Hermite Polynomials for Finite Element Method [PDF]
EPJ Web of Conferences, 2020 A new algorithm for constructing multivariate interpolation Hermite polynomials in analytical form in a multidimensional hypercube is presented. These polynomials are determined from a specially constructed set of values of the polynomials themselves and
Chuluunbaatar Galmandakh +8 more
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Lagrange Multivariate Polynomial Interpolation: A Random Algorithmic Approach
Journal of Applied Mathematics, 2022 The problems of polynomial interpolation with several variables present more difficulties than those of one-dimensional interpolation. The first problem is to study the regularity of the interpolation schemes.
A. Essanhaji, M. Errachid
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Quantum-inspired algorithms for multivariate analysis: from interpolation to partial differential equations [PDF]
Quantum, 2021 In this work we study the encoding of smooth, differentiable multivariate functions in quantum registers, using quantum computers or tensor-network representations. We show that a large family of distributions can be encoded as low-entanglement states of
Juan José García-Ripoll
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Faster Algorithms for Multivariate Interpolation With Multiplicities and Simultaneous Polynomial Approximations [PDF]
IEEE Transactions on Information Theory, 2014 The interpolation step in the Guruswami-Sudan algorithm is a bivariate interpolation problem with multiplicities commonly solved in the literature using either structured linear algebra or basis reduction of polynomial lattices.
Muhammad F. I. Chowdhury +4 more
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MULTIVARIATE INTERPOLATION USING POLYHARMONIC SPLINES
Acta Polytechnica, 2021 Data measuring and further processing is the fundamental activity in all branches of science and technology. Data interpolation has been an important part of computational mathematics for a long time. In the paper, we are concerned with the interpolation
Karel Segeth
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A Boolean sum interpolation for multivariate functions of bounded variation
Frontiers in Applied Mathematics and StatisticsThis paper deals with the approximation error of trigonometric interpolation for multivariate functions of bounded variation in the sense of Hardy-Krause.
Jürgen Prestin, Yevgeniya V. Semenova
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Onboard Trajectory Generation for Entry Vehicles via Adaptive Multivariate Pseudospectral Interpolation [PDF]
, 2016 One of the most powerful analysis tools to deal with entry-guidance problems is the possibility to formulate them as optimal control problems. Environmental constraints, actuator limits, and strict requirements on the final conditions can be efficiently ...
Marco Sagliano, E. Mooij, S. Theil
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Multivariate Polynomial Interpolation for Cubical Zero-Dimensional Schemes
AxiomsWe compute the multigraded Hilbert function of general unions of certain degree-8 zero-dimensional schemes, called 2cubes, for the Segre 3-folds and the three-dimensional smooth quadric hypersurface.
Edoardo Ballico
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Alpha-1 Antitrypsin Deficiency PI*Z and PI*S Gene Frequency Distribution Using on Maps of the World by an Inverse Distance Weighting (IDW) Multivariate Interpolation Method. [PDF]
Hepat Mon, 2012 1.Background Currently, there is a remarkable lack of genetic epidemiological studies on alpha 1-antitrypsin (AAT) deficiency in about half of the 193 countries of the World.
Blanco I +4 more
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Oversampling Errors in Multimodal Medical Imaging Are Due to the Gibbs Effect
Mathematics, 2021 To analyze multimodal three-dimensional medical images, interpolation is required for resampling which—unavoidably—introduces an interpolation error. In this work we describe the interpolation method used for imaging and neuroimaging and we characterize ...
Davide Poggiali +3 more
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