Results 11 to 20 of about 138,998 (299)
Numerical cubature on scattered data by adaptive interpolation [PDF]
Journal of Computational and Applied Mathematics, 2023 We construct cubature methods on scattered data via resampling on the support of known algebraic cubature formulas, by different kinds of adaptive interpolation (polynomial, RBF, PUM).
R. Cavoretto +6 more
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Gaussian Radial Basis Function interpolation in vertical deformation analysis
Geodesy and Geodynamics, 2021 In many deformation analyses, the partial derivatives at the interpolated scattered data points are required. In this paper, the Gaussian Radial Basis Functions (GRBF) is proposed for the interpolation and differentiation of the scattered data in the ...
Mohammad Amin Khalili, Behzad Voosoghi
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NIERT: Accurate Numerical Interpolation Through Unifying Scattered Data Representations Using Transformer Encoder [PDF]
IEEE Transactions on Knowledge and Data Engineering, 2022 Interpolation for scattered data is a classical problem in numerical analysis, with a long history of theoretical and practical contributions. Recent advances have utilized deep neural networks to construct interpolators, exhibiting excellent and ...
Shi-qi Ding +3 more
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Numerical differentiation on scattered data through multivariate polynomial interpolation [PDF]
BIT Numerical Mathematics, 2021 We discuss a pointwise numerical differentiation formula on multivariate scattered data, based on the coefficients of local polynomial interpolation at Discrete Leja Points, written in Taylor’s formula monomial basis.
F. Dell’Accio +3 more
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Results in Applied Mathematics, 2022 Some efficient radial basis functions (RBFs) have a free parameter called the shape parameter that controls the shape of approximating function. This parameter is mainly selected by trial and error related to the problem.
Shabnam Sadat Seyed Ghalichi +2 more
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A Divergence-Free Constrained Magnetic Field Interpolation Method for Scattered Data [PDF]
Social Science Research Network, 2022 An interpolation method to evaluate magnetic fields, given its unstructured and scattered magnetic data, is presented. The method is based on the reconstruction of the global magnetic field using a superposition of orthogonal functions.
Minglei Yang +3 more
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Environmental and Sustainability Indicators, 2021 Mapping spatial variations in tree density and woody species diversity, as indicators of intactness of tropical forests and woodlands, is potentially useful to nature conservation managers.
C. Munyati, N.I. Sinthumule
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Symmetry, 2020 Scattered data interpolation is important in sciences, engineering, and medical-based problems. Quartic Bézier triangular patches with 15 control points (ordinates) can also be used for scattered data interpolation.
S. A. A. Karim, A. Saaban, V. T. Nguyen
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The Shape Parameter in the Shifted Surface Spline—An Easily Accessible Approach
Mathematics, 2022 In this paper, we present an easily accessible approach to finding a suitable shape parameter in the shifted surface spline for function interpolation. We aim at helping more readers, including mathematicians and non-mathematicians, to use our method to ...
Lin-Tian Luh
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A Deep Learning Approach for Predicting Spatiotemporal Dynamics From Sparsely Observed Data
IEEE Access, 2021 In this paper, we consider the problem of learning prediction models for spatiotemporal physical processes driven by unknown partial differential equations (PDEs).
Priyabrata Saha, Saibal Mukhopadhyay
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