# Radial Basis functions

### Radial basis functions for the sphere

**Radial**

**basis**

**functions**for the sphere. In: Haussmann, W. and Jetter, K. and Reimer, M. (eds.) Recent Progress in Multivariate Approximation. 4th ...

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

**radial**

**basis**

**functions**for solving ODEs/PDEs was proposed by Kansa in 1990 (Kansa, 1990). Since then, RBFs have been increasingly used in the simulation of engineering applications. ...

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### A Variational Approach to the Evolution of Radial Basis Functions for Image Segmentation

**radial**

**basis**

**functions**(RBFs) to solve segmentation problems. The differential equations result from applying variational calculus to ...

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### Reconstructing Surfaces by Volumetric Regularization Using Radial Basis Functions

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### Evaluation of Financial Options Using Radial Basis Functions in Mathematica »

**radial**

**basis**

**functions**(RBFs) as a means of solving parabolic partial differential equations (PDEs) associated with the solu- tion of European- and American-style financial ...

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### Compact approximation stencils based on integrated flat radial basis functions

**Radial**

**basis**

**functions**(RBFs) have become one of the main fields of research in numerical analysis. It is theoretically proved that RBF networks having one hidden layer are capable of universal ...

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### Towards an analysis of shear suspension flows using radial basis functions

**radial**

**basis**

**functions**(RBFs), proven to be universal approximators, have been developed and applied to solve different types of differential problems encountered in applied mathematics, ...

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### Eigenvalue Analysis of Spherical Resonant Cavity Using Radial Basis Functions

**radial**

**basis**

**functions**(RBFs) is a space dimension independent method and a powerful interpolation ...on

**radial**

**basis**

**functions**analyzing the waveguide or resonant ...

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### A numerical approach on Hiemenz flow problem using radial basis functions

**Radial**

**basis**

**functions**have been very effective tools to approximate the solutions of equations on meshless points without using initial ...approximate

**functions**which are important ...

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### On spherical averages of radial basis functions

**basis**for univariate spline spaces, but an analyticity argument implies that a nontrivial polyharmonic spline generated by ...a

**radial**

**basis**function generated by the Euclidean norm can be ...

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### A Variational Approach to the Evolution of Radial Basis Functions for Image Segmentation

**radial**

**basis**

**functions**to achieve either a region-based or boundary-based image ...anisotropic

**basis**

**functions**for two reasons: first, they can better approximate sharp corners [4], ...

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

**radial**

**basis**function is a real-valued function whose value depends only on the distance from the origin, so that φ(x) = φ( k x k ); or alternatively on the distance from some other point x i , called a ...

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

**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

**Radial**

**Basis**

**Functions**have traditionally been used to provide a continuous in- terpolation of scattered data sets (Franke, 1982; Haykin, ...well-known

**radial**

**basis**

**functions**are ...

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

**radial**

**basis**collocation method in which the residual error on the Neumann boundary is treated by a proper scaling ...for

**radial**

**basis**

**functions**(RBF) by increasing the shape ...

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### A time discretization scheme based on integrated radial basis functions for heat transfer and fluid flow problems

**radial**

**basis**

**functions**(IRBFs) and Cartesian grids, for solving time-dependent differential problems that can be defined on non-rectangular ...allows

**functions**other than a linear ...

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### Displacement and equilibrium mesh-free formulation based on integrated radial basis functions for dual yield design

**functions**do not hold Kronecker delta prop- erty, leading to diﬃculty in enforcing essential boundary ...using

**radial**

**basis**

**functions**(RBFs) have also been developed in par- allel ...

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### Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domains

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### Rapid evaluation of radial basis functions

**Radial**

**Basis**...definite

**functions**of order one on R d and thus the corresponding interpolation matrices have one positive and N − 1 neg- ative eigenvalues, provided that the centers are ...

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### Solving Helmholtz Equation by Meshless Radial Basis Functions Method

**radial**

**basis**

**functions**(MLM-RBF) ...RBF

**basis**

**functions**are used in a point matching method to solve the Helmholtz equation only in Cartesian ...

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