Results 31 to 40 of about 3,206 (190)

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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Numerical Solution of Poisson's Equation Using a Combination of Logarithmic and Multiquadric Radial Basis Function Networks

Journal of Applied Mathematics, 2012
This paper presents numerical solution of elliptic partial differential equations (Poisson's equation) using a combination of logarithmic and multiquadric radial basis function networks.
Mohammad Mehdi Mazarei, Azim Aminataei
doaj   +1 more source

Meshless solution of the neutron diffusion equation by the RBF collocation method using optimum shape parameters

Journal of Innovative Science and Engineering, 2019
The meshless radial basis function collocation method is an efficient numerical technique for solving partial differential equations. The multiquadric is the most widely utilized radial function for this purpose; but it contains a shape parameter, which ...
Tayfun TANBAY
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Development of the Multiquadric mesh-less method for analyzing the dynamic interaction of dam-reservoir-foundation problems [PDF]

مهندسی عمران شریف, 2022
The Multiquadric Radial Basis Function (MQ-RBF) method, despite its advantages, has not yet been developed to be used for Dam-Reservoir-Foundation Interaction (DRFI) problems.
R. Babaee, E. Jabbari, M. Eskandari Ghadi   +2 more
doaj   +1 more source

Explicit Runge-Kutta Methods with Multiquadric and Inverse Multiquadric Radial Basis Functions

International Journal of Computational Methods
In this article, a family of two- and three-stage explicit multiquadric (MQ) and inverse multiquadric (IMQ) radial basis functions (RBFs) Runge-Kutta methods are introduced for solving ordinary differential equations. These methods are developed by utilizing MQ- and IMQ-RBF Euler methods.
Mahata, Shipra, Rathan, Samala
openaire   +3 more sources

A novel parameterized multiquadric quasi-interpolation operator with its optimal parameters

Results in Applied Mathematics
The shape parameter c plays a crucial role in determining the accuracy and effectiveness of multiquadric quasi-interpolation algorithm. However, a few works discuss the shape parameter c in multiquadric quasi-interpolation operator.
Hualin Xiao, Dan Qu
doaj   +1 more source

High accuracy multiquadric quasi-interpolation

Applied Mathematical Modelling, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiang, Zi-Wu, Wang, Ren-Hong, Zhu, Chun-Gang, Xu, Min   +3 more
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Functional summary statistics for point processes on the sphere with an application to determinantal point processes

, 2016
We study point processes on $\mathbb S^d$, the $d$-dimensional unit sphere $\mathbb S^d$, considering both the isotropic and the anisotropic case, and focusing mostly on the spherical case $d=2$.
Møller, Jesper, Rubak, Ege
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Modelling of radionuclide migration through the geosphere with radial basis function method and geostatistics [PDF]

, 2004
The modelling of radionuclide transport through the geosphere is necessary in the safety assessment of repositories for radioactive waste. A number of key geosphere processes need to be considered when predicting the movement of radionuclides through the
Runovc, Franc, Turk, Goran, Vrankar, Leopold   +2 more
core   +1 more source

A Discrete Adapted Hierarchical Basis Solver For Radial Basis Function Interpolation

, 2012
In this paper we develop a discrete Hierarchical Basis (HB) to efficiently solve the Radial Basis Function (RBF) interpolation problem with variable polynomial order.
Castrillon-Candas, Julio Enrique, Eijkhout, Victor, Li, Jun   +2 more
core   +1 more source