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Local Radial Basis Functions

An upwind local radial basis functions-finite difference (RBF-FD) method for solving compressible Euler equation with application in finite-rate Chemistry

An upwind local radial basis functions-finite difference (RBF-FD) method for solving compressible Euler equation with application in finite-rate Chemistry

... The main aim of the current paper is to propose an upwind local radial basis functions-finite difference (RBF-FD) method for solving compressible Euler equation. The mathematical formulation ...

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A Local Meshless Method for Two Classes of Parabolic Inverse Problems

A Local Meshless Method for Two Classes of Parabolic Inverse Problems

... with radial basis func- tions used for constructing shape function was introduced by Mohamed et ...in radial basis functions still ...and local radial basis ...

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A Novel Local Linear Radial Basis Functional Neural Network For Classification Of Pq Events

A Novel Local Linear Radial Basis Functional Neural Network For Classification Of Pq Events

... An artificial neural network (ANNs) consists of neurons, activation functions and adaptable weights. It is an attempt to simulate the architecture of a brain. Artificial neural networks have been broadly applied ...

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Compact approximation stencils based on integrated radial basis functions for fluid flows

Compact approximation stencils based on integrated radial basis functions for fluid flows

... of convergence by the original local IRBF and present compact local IRBF methods. The rate presented here is the exponent of O ( h rate) that is computed over two successive grids (point-wise) and also over ...

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Compact local stencils employed with integrated RBFs for fourth-order differential problems

Compact local stencils employed with integrated RBFs for fourth-order differential problems

... compact local stencils based on integrated radial basis functions (IRBFs) for solving fourth-order ordinary differential equations (ODEs) and partial differential equations (PDEs) are ...the ...

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Compact approximation stencils based on integrated flat radial basis functions

Compact approximation stencils based on integrated flat radial basis functions

... compact local integrated RBF stencils based on one- and two-dimensional approximations are capable of producing a stable solution over large values of the RBF ...

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C2-Element radial basis function methods for some continuum mechanics problems

C2-Element radial basis function methods for some continuum mechanics problems

... Radial basis functions (RBFs) have been successfully used for the approxima- tion of scattered ...in local forms has the ability to circumvent these difficulties ...

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Radial basis functions in mathematical modelling of flow boiling in minichannels

Radial basis functions in mathematical modelling of flow boiling in minichannels

... In the calculation we considered two boiling regions: subcooled and saturated. It was assumed that in the subcooled boiling region the fluid temperature varied linearly from the measured value at the inlet to the value ...

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Compact approximation stencils based on integrated radial basis functions for fluid flows

Compact approximation stencils based on integrated radial basis functions for fluid flows

... in local form (to obtain sparse system matrices) (Shu et ...compact local form (to obtain both sparse system matrices and high rates of convergence of the approximate solution) (Tolstykh and Shirobokov, ...

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Mathematical Modeling with Local Volatility Surface by Radial Basis Function Approach

Mathematical Modeling with Local Volatility Surface by Radial Basis Function Approach

... used radial basis function method for solving options pricing model in 1999 ...unknown local volatility function for options pricing model also in 1999 ...especially radial basis ...

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Adopting the Multiresolution Wavelet Analysis in Radial Basis Functions to Solve the Perona-Malik Equation

Adopting the Multiresolution Wavelet Analysis in Radial Basis Functions to Solve the Perona-Malik Equation

... and radial basis functions (RBF) have ubiquitously proved very successful to solve different forms of partial differential equations (PDE) using shifted basis functions, and as with the ...

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Parallel computations based on domain decompositions and integrated radial basis functions for fluid flow problems

Parallel computations based on domain decompositions and integrated radial basis functions for fluid flow problems

... compact local stencil methods (Mai-Duy et ...compact local approximations facilitates the solution of a differential equation without having to deal with large systems of global ...compact local ...

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Rapid evaluation of radial basis functions

Rapid evaluation of radial basis functions

... is local at the filesystem of each workstation and data are distributed and collected using standard operating system ser- vices rather than a distributed ...

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Application of Meshless Methods for Thermal Analysis

Application of Meshless Methods for Thermal Analysis

... methods are now being developed in many research institutions all over the world. Various methods belonging to this family include: Diffuse Element Methods, Smooth Particle Hydrodynamics Methods, Element-Free Galerkin ...

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A cartesian-grid collocation technique with integrated radial basis functions for mixed boundary value problems

A cartesian-grid collocation technique with integrated radial basis functions for mixed boundary value problems

... weighted radial basis collocation method in which the residual error on the Neumann boundary is treated by a proper scaling ...the local weak form at nodal points for stress and the penalty method ...

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An efficient local formulation for time–dependent PDEs

An efficient local formulation for time–dependent PDEs

... a local meshless method (LMM) based on radial basis functions (RBFs) is utilized for the numerical solution of various types of PDEs, due to the flexibility with respect to geometry and high ...

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Numerical Analysis of the Boundary Effect of Radial Basis Functions in 3D Surface Reconstruction

Numerical Analysis of the Boundary Effect of Radial Basis Functions in 3D Surface Reconstruction

... Surface reconstruction is very important for surface characterization and graph processing. Radial basis function has now become a popular method to reconstruct 3D surfaces from scattered data. However, it ...

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Radial basis function (RBF)-based interpolation and spreading for the immersed boundary method

Radial basis function (RBF)-based interpolation and spreading for the immersed boundary method

... a radial basis functions frame- work for the spreading-interpolation ...The radial basis function approach allows for dealing with a cloud of scattered nodes around the im- mersed ...

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Radial Basis Functions for the Solution of an Inverse Problem of Mixed Parabolic-Hyperbolic Type

Radial Basis Functions for the Solution of an Inverse Problem of Mixed Parabolic-Hyperbolic Type

... [22] K Parand, S Abbasbandy, S Kazem, and A R Rezaei. Comparison between two common collocation approaches based on radial basis functions for the case of heat transfer equa- tions arising in porous ...

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RBF interpolation of boundary values in the BEM for heat transfer problems

RBF interpolation of boundary values in the BEM for heat transfer problems

... of Radial Basis Function Net- works (RBFNs) as interpolation functions for all boundary values in the Boundary Ele- ment Method (BEM) for the numerical solution of heat transfer ...of ...

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