Results 21 to 30 of about 326 (178)
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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A Radial Basis Function Collocation Method for Space-dependent Inverse Heat Problems [PDF]
Journal of Applied and Computational Mechanics, 2020 In this study, a radial basis function collocation method (RBFCM) is proposed for the numerical treatment of inverse space-wise dependent heat source problems.
Muhammad Nawaz Khan +2 more
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Computer Simulation System of Nonlinear Thermal Conductivity
Вісник Харківського національного університету імені В.Н. Каразіна. Серія: Математичне моделювання, інформаційні технології, автоматизовані системи управління, 2021 The article discusses the computer simulation system of nonlinear processes that described by the one-dimensional nonstationary heat equation with power-law nonlinearity.
Ірина Гарячевська +2 more
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A Meshfree Time-Splitting Approach for the Time-Fractional Burgers’ Equation
Journal of Mathematics, 2023 We consider to represent an algorithm for time-fractional Burgers’ equation utilizing the multiquadric-radial basis functions with the time-splitting technique. This algorithm is performed on the three examples.
Erdal Korkmaz, Kenan Yildirim
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Investigation of Higher Order Localized Approximations for a Fractional Pricing Model in Finance
Mathematics, 2023 In this work, by considering spatial uniform meshes and stencils having five adjacent discretization nodes, we furnish a numerical scheme to solve the time-fractional Black–Scholes (partial differential equation) PDE to price financial options under the ...
Malik Zaka Ullah +3 more
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Computational issues by interpolating with inverse multiquadrics: a solution
CoRR, 2022 We consider the interpolation problem with the inverse multiquadric radial basis function. The problem usually produces a large dense linear system that has to be solved by iterative methods. The efficiency of such methods is strictly related to the computational cost of the multiplication between the coefficient matrix and the vectors computed by the ...
De Marchi S. +4 more
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On Shifted Cardinal Interpolation by Gaussians and Multiquadrics
Journal of Approximation Theory, 1996 The authors study so-called shifted Gaussian interpolation where approximants are given as a (finite or infinite) linear combination of translates of some Gaussian. More precisely, the approximants \(s\) are of the form \[ s(x)= \sum_{k\in\mathbb{Z}^d} a_k \varphi(x+\alpha-k) \qquad (x\in\mathbb{R}^d), \tag{1} \] where \(\mathbb{Z}\) is the set of ...
Baxter, B.J.C., Sivakumar, N.
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