compact integrated radial basis functions
Compact integrated radial basis function modelling of particulate suspensions
... and compact integrated radial basis functions (CIRBF), for the simu- lation of heat transfer and steady/unsteady viscous flows in complex geometries, and their applications for the ...
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Radial basis function (RBF)-based interpolation and spreading for the immersed boundary method
... on compact integrated radial basis functions, using a smoothed version of the discrete delta functions to trans- fer the physical quantities between Eulerian and Lagrangian ...
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Compact integrated radial basis function modelling of particulate suspensions
... The IBM was originally introduced by Peskin (1972, 1977) to investigate the fluid dynamics of blood flow in human heart. The idea is to use an equivalent body force field to represent bodies immersed in a fluid and hence ...
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Compact local stencils employed with integrated RBFs for fourth-order differential problems
... new compact local stencils based on integrated radial basis functions (IRBFs) for solving fourth-order ordinary differential equations (ODEs) and partial differential equations (PDEs) ...
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A symmetric integrated radial basis function method for solving differential equations
... paper, integrated radial basis functions (IRBFs) are employed for Hermite interpolation in the solution of differential equations, resulting in a new meshless symmetric RBF ...of ...
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A time discretization scheme based on integrated radial basis functions for heat transfer and fluid flow problems
... set of unstructured discrete points and they have the ability to produce highly accurate results. Approximations of the field variable and its derivatives in terms of RBFs can be constructed through the differential ...
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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] process. The latter was developed with the aim of avoiding the ...
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A numerical study of compact approximations based on flat integrated radial basis functions for second-order differential equations
... decades, Radial Basis Function (RBFs) have found in- creasingly widespread use for numerical solution to the Partial Differential Equa- tion (PDE) ...
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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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Compact approximation stencils based on integrated radial basis functions for fluid flows
... Some RBFs, such as the above mentioned, are shown to possess spectral conver- gence rate. Thus, they fall into a class of high order methods. RBF collocation methods need only a set of discrete points – instead of a set ...
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Compact approximation stencils based on integrated radial basis functions for fluid flows
... of compact local inte- 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 ...
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Towards an analysis of shear suspension flows using radial basis functions
... Abstract: In this paper, radial basis functions are utilised for numerical prediction of the bulk properties of particulate suspensions under simple shear conditions. The suspending fluid is New- ...
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Eigenvalue Analysis of Spherical Resonant Cavity Using Radial Basis Functions
... where φ I (r) = φ(kr − r I k), is the radial basis function centered at a set of independent points r 1 , . . . , r I , . . . , r N ∈ Ω (also called center nodes), a I are unknown coefficients to be ...
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A numerical approach on Hiemenz flow problem using radial basis functions
... infinity. 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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Evaluation of Financial Options Using Radial Basis Functions in Mathematica »
... While Radial Basis Function (RBF) methodology has previously been applied to solving some differential equations, there are very few papers considering its applicability to financial ...
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Reconstructing Surfaces by Volumetric Regularization Using Radial Basis Functions
... 1 To appear in IEEE Pattern Analysis and Machine Intelligence Reconstructing Surfaces By Volumetric Regularization Using Radial Basis Functions 1 1 2 Huong Quynh Dinh , Greg Turk , and G[r] ...
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A Variational Approach to the Evolution of Radial Basis Functions for Image Segmentation
... The rest of this paper is organized as follows. In Sec- tion 2 we present the mathematical details of our frame- work, deriving the RBF update equations from an energy functional. Next, in Section 3 we complete the ...
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A Variational Approach to the Evolution of Radial Basis Functions for Image Segmentation
... The rest of this paper is organized as follows. In Sec- tion 2 we present the mathematical details of our frame- work, deriving the RBF update equations from an energy functional. Next, in Section 3 we complete the ...
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Solving Helmholtz Equation by Meshless Radial Basis Functions Method
... [8], radial point interpolation method (RPIM) [9],meshfree least square-based finite difference method [10], and Element-free Galerkin (EFG) method [11], have been applied to the Helmholtz ...
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Mathematical Modeling with Local Volatility Surface by Radial Basis Function Approach
... use radial basis function with some interpolation and also try to introduce different Radial basis functions such as Gaussian function, multi- quadratic function and thin plane spline ...
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