A class of basis functions so called well-conditioned RBF (WRBFs) has been introduced. This basis has been manipulated by adding cardinal functions to the conditionally negative definite RBFs of order 1, such as Multiquadric functions 1+(∊r)2 (MQ) and ...
Saeed Kazem +2 more
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Modelling of radionuclide migration through the geosphere with radial basis function method and geostatistics [PDF]
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 +2 more
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Solusi Numerik Persamaan Poisson Menggunakan Jaringan Fungsi Radial Basis pada Koordinat Polar
Persamaan Poisson dalam koordinat polar atau lingkaran merupakan persamaan diferensial parsial linier orde dua tipe eliptis. Persamaan ini merupakan bentuk non homogen dari persamaan Laplace. Persamaan Poisson pada koordinat polar disini menggambarkan
Fatma Mufidah, Mohammad Jamhuri
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Solving high-order partial differential equations with indirect radial basis function networks [PDF]
This paper reports a new numerical method based on radial basis function networks (RBFNs) for solving high-order partial differential equations (PDEs).
Mai-Duy, N., Tanner, R. I.
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The parameter R2 in multiquadric interpolation
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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Laminated Beam Analysis by Polynomial, rigonometric, Exponential and Zig-Zag Theories [PDF]
A number of refined beam theories are discussed in this paper. These theories were obtained by expanding the unknown displacement variables over the beam section axes by adopting Taylor's polynomials, trigonometric series, exponential, hyperbolic and zig ...
Carrera, Erasmo +2 more
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Two-dimensional convection—diffusion problem solved using method of localized particular solutions
A meshless local method of approximated particular solutions (LMAPS) is used to analyze problem described by the convection-diffusion equation. The method solves the steady convection-diffusion equation with reaction term.
Mužík Juraj, Holičková Martina
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Two-dimensional beams in rectangular coordinates using the radial point interpolation method
The three-dimensional Theory of Elasticity equations lead to a complex solution for most problems in engineering. Therefore, the solutions are typically developed for reduced systems, usually symmetrical or two-dimensional. In this context, computational
William Luiz Fernandes +4 more
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Computational issues by interpolating with inverse multiquadrics: a solution
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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Multiquadric spline-based interactive segmentation of vascular networks [PDF]
Commonly used drawing tools for interactive image segmentation and labeling include active contours or boundaries, scribbles, rectangles and other shapes. Thin vessel shapes in images of vascular networks are difficult to segment using automatic or interactive methods.
Sachin Meena +7 more
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