radial basis functions approximations
Compact approximation stencils based on integrated flat radial basis functions
... RBF approximations for the field variable and its derivatives can be constructed through the differentiation (DRBF) [6] or integration (IRBF) [13,24,10,7,25] ...compact approximations [27], and the ...
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Evaluation of Financial Options Using Radial Basis Functions in Mathematica »
... derivative approximations are sought, and FD formulas are obtained by differenti- ating polynomial interpolants rather than RBF ...accurate approximations when compared with existing numerical techniques ...
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A Stable Algorithm for Divergence-Free and Curl-Free Radial Basis Functions in the Flat Limit
... Vector fields arise naturally in many applications, as they describe certain fundamen- tal physical quantities. Two specific properties of vector fields are particularly useful when representing physical data: divergence ...
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Compact approximation stencils based on integrated radial basis functions for fluid flows
... Numerical methods can also be classified into global and local. For the former, the value of a derivative at a point is computed from the values of the field variable at all nodes in the domain. Such ...
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Compact approximation stencils based on integrated radial basis functions for fluid flows
... grated radial basis function (CLIRBF) stencils and its verification in the simula- tion of Newtonian and non-Newtonian fluid flows governed by the streamfunction- vorticity ...RBF approximations (full ...
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Towards an analysis of shear suspension flows using radial basis functions
... decades, 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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A numerical study of compact approximations based on flat integrated radial basis functions for second-order differential equations
... solution of elliptic, parabolic and hyperbolic PDEs which govern many engineer- ing problems. In [7, 8, 9, 10, 11], practitioners demonstrated that the elliptic PDE solutions using DRBFs converge much faster than those ...
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Eigenvalue Analysis of Spherical Resonant Cavity Using Radial Basis Functions
... 4. Liu, X.-F., B.-Z. Wang, and S.-J. Lai, “Element-free Galerkin method for transient electromagnetic field simulation,” Microwave and Optical Technology Letters, Vol. 50, No. 1, 134–138, Jan. 2008. 5. Kansa, E. J., ...
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Parallel computations based on domain decompositions and integrated radial basis functions for fluid flow problems
... Although full-domain IRBF methods are highly flexible and exhibit high order convergence rates in their basic implementation, the associated fully-populated matrix systems can lead to poor numerical conditioning as the ...
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A numerical approach on Hiemenz flow problem using radial basis functions
... The shape parameter ϵ which is appeared in Table 1 affects both the accuracy of the approximation and the conditioning of the interpolation matrix [24]. In general, for a fixed number of N , smaller shape param- eters ...
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Numerical Analysis of the Boundary Effect of Radial Basis Functions in 3D Surface Reconstruction
... smooth basis functions like Gaussian, multiquadric etc are terribly large compared to non-smooth basis functions like TPS ...as basis function, which contains no shape parameters and ...
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Radial Basis Functions for the Solution of an Inverse Problem of Mixed Parabolic-Hyperbolic Type
... Abstract. In this paper, we consider an inverse problem of mixed parabolic-hyperbolic type. This in- verse problem related to finding the unknown right-hand side of the equation of mixed parabolic- hyperbolic type in a ...
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Radial basis functions for the sphere
... Hubbert, Simon and Baxter, Brad J.C. (2001) 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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The radial plot in meta analysis : approximations and applications
... asymptotic approximations to some of the sampling properties of the radial plot, asymptotic in the sense that the study-specific sample sizes are ...
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Mathematical Modeling with Local Volatility Surface by Radial Basis Function Approach
... The radial basis functions as the model functions is f ( x ) = α 1 φ ( x − x 1 ) + ...of radial basis functions like Gaussian, thin plate, and multiquadric are chosen for ...
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Univariate multiquadric approximation : reproduction of linear polynomials
... Abstract It is known that multiquadric radial basis function approximations can reproduce low order polynomials when the centres form an infinite regular lattice.. We make a start on the[r] ...
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Computing Eigenmodes of Elliptic Operators on Manifolds Using Radial Basis Functions
... The most obvious and immediate improvements for the present methods of computing eigen- modes of Laplace-Beltrami operator would be: (i) formulation of the numerical scheme based on Reil[r] ...
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Pseudo-differential operator associated to the radial basis functions under tension.
... the radial basis functions under tension as presented in ...a radial basis function depending on a tension parameter such that, as in the univariate case, in the limit the radial ...
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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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Legendre Wavelet expansion of functions and their Approximations
... In this paper, nine new Legendre wavelet estimators of functions having bounded third and fourth derivatives have been obtained.These estimators are new and best approximation in wavelet analysis. Legendre wavelet ...
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