Results 11 to 20 of about 330 (180)
Bivariate High-Accuracy Hermite-Type Multiquadric Quasi-Interpolation Operators
Journal of MathematicsIn this paper, a kind of Hermite-type multiquadric quasi-interpolation operator is constructed by combining an extended univariate multiquadric quasi-interpolation operator with a bivariate Hermite interpolation polynomial.
Ruifeng Wu
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MuscleX-DI: an integrated data analysis package for X-ray scanning diffraction imaging experiments. [PDF]
J Synchrotron RadiatMuscleX‐Diffraction Imaging (MuscleX‐DI) is an integrated, open‐source software suite for data reduction and visualization of scanning X‐ray diffraction (XRD) experiments. It is developed in Python and runs on Linux, Microsoft Windows or macOS. MuscleX‐DI offers an end‐to‐end software analysis pipeline that ingests diffraction patterns and raster scan ...
Madhurapantula RS +8 more
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Cardinal interpolation with general multiquadrics [PDF]
Advances in Computational Mathematics, 2016 This paper studies the cardinal interpolation operators associated with the general multiquadrics, $ϕ_{α,c}(x) = (\|x\|^2+c^2)^α$, $x\in\mathbb{R}^d$. These operators take the form $$\mathscr{I}_{α,c}\mathbf{y}(x) = \sum_{j\in\mathbb{Z}^d}y_jL_{α,c}(x-j),\quad\mathbf{y}=(y_j)_{j\in\mathbb{Z}^d},\quad x\in\mathbb{R}^d,$$ where $L_{α,c}$ is a fundamental
Keaton Hamm, Jeff Ledford
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Cardinal interpolation with general multiquadrics: convergence rates [PDF]
Advances in Computational Mathematics, 2017 Wholesale changes from previous version; 26 pages ...
Keaton Hamm, Jeff Ledford
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Journal of Approximation Theory, 1996 The authors define certain combinations of multiquadrics, denoted as \(\Psi\)-splines, and investigate their properties. In particular, the strong analogy between these \(\Psi\)-splines and the usual polynomial B-splines is pointed out at several places.
Beatson, R.K., Dyn, N.
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International Transactions on Electrical Energy Systems, 2023 In this paper, the development and application of the radial basis function-finite difference (RBF-FD) method and the RBF-finite difference time domain (RBF-FDTD) method for solving electrical transient problems in power systems that are defined by the ...
Duc-Quang Vu +2 more
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Atmosphere, 2021 The spatial distribution of precipitation is one of the most important climatic variables used in geographic and environmental studies. However, when there is a lack of full coverage of meteorological stations, precipitation estimations are necessary to ...
Mehdi Aalijahan, Azra Khosravichenar
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Adaptive Interpolation by Scaled Multiquadrics
Advances in Computational Mathematics, 2002 Given a univariate data sample, the authors present an adaptative method to select a subsample in such a way that shape preserving information is extracted, that is to say, that the interpolating function constructed by the subsample reproduces the signal with a good graphical accuracy.
Bozzini, M. +2 more
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Multi-quadric collocation model of horizontal crustal movement [PDF]
Solid Earth, 2016 To establish the horizontal crustal movement velocity field of the Chinese mainland, a Hardy multi-quadric fitting model and collocation are usually used.
G. Chen, A. Zeng, F. Ming, Y. Jing
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The parameter R2 in multiquadric interpolation
Computers & Mathematics with Applications, 1991 For bivariate interpolation to the data \((x_ i,y_ i,z_ i)\) where the \((x_ i,y_ i)\) are arbitrary points the multiquadric method has been frequently applied [for references, see: \textit{R. L. Hardy}, Comput. Math. Appl. 19, 163-208 (1990; Zbl 0692.65003)]. The accuracy of the method depends on a user defined parameter \(R^ 2\). In the present paper
Carlson, Ralph E., Foley, Thomas A.
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