Results 1 to 10 of about 1,228 (104)
Solving Poisson Equations by the MN-Curve Approach
Mathematics, 2022 In this paper, we adopt the choice theory of the shape parameters contained in the smooth radial basis functions to solve Poisson equations. Luh’s choice theory, based on harmonic analysis, is mathematically complicated and applies only to function ...
Lin-Tian Luh
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Numerical Solution of the Advection-Diffusion Equation Using the Radial Basis Function
JTAM (Jurnal Teori dan Aplikasi Matematika), 2023 The advection-diffusion equation is a form of partial differential equation. This equation is also known as the transport equation. The purpose of this research is to approximatio the solution of advection-diffusion equation by numerical approach using ...
La Ode Sabran, Mohamad Syafi'i
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Numerical Simulation of Thermal Field in Mass Concrete With Pipe Water Cooling
Frontiers in Physics, 2021 Water pipe cooling is mainly used to control temperature in the construction of mass concrete structures. It is important to reveal how to accurately stimulate the temperature field of mass concrete under action of this water pipe cooling.
Fuxian Zhu +3 more
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A Direct Prediction of the Shape Parameter in the Collocation Method of Solving Poisson Equation
Mathematics, 2022 In this paper, we totally discard the traditional trial-and-error algorithms of choosing the acceptable shape parameter c in the multiquadrics −c2+∥x∥2 when dealing with differential equations, for example, the Poisson equation, with the RBF collocation ...
Lin-Tian Luh
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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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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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Analysis of New RBF-FD Weights, Calculated Based on Inverse Quadratic Functions
Journal of Mathematics, 2022 Local radial basis functions (RBFs) have many advantages for solution of differential equations. In some of these radial functions, there is a parameter that has a special effect on the accuracy of the answer and is known as the shape parameter.
Asghar Rahimi +2 more
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Kernel-based Image Reconstruction from Scattered Radon Data [PDF]
, 2016 Computerized tomography requires suitable numerical methods for the approximation of a bivariate function f from a finite set of discrete Radon data, each of whose data samples represents one line integral of f .
DE MARCHI, Stefano +2 more
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Application of an RBF blending interpolation method to problems with shocks
Computer Assisted Methods in Engineering and Science, 2017 Radial basis functions (RBF) have become an area of research in recent years, especially in the use of solving partial differential equations (PDE). Radial basis functions have an impressive capability in interpolating scattered data, even for data with
Michael Harris +2 more
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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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