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Radial source function approaches for large-scale wave propagation

The book "Radial Basis Function Methods For Large-Scale Wave Propagation", details the development of techniques and ideas from the radial basis function. It begins with a mathematical description of ...
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Numerical simulation and applications of the convection–diffusion–reaction equation with the radial basis function in a finite-difference mode

This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...
Risk

Application of the radial basis function in solving an operational risk management model: investigating the probability of bank survival with risk reserves

Operational risk is one of the influential risks identified by banking practitioners, and as the international banking supervisor, the Basel Committee on Banking Supervision has paid special attention ...
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Sobolev Bounds on Functions with Scattered Zeros, with Applications to Radial Basis Function Surface Fitting

In this paper we discuss Sobolev bounds on functions that vanish at scattered points in a bounded, Lipschitz domain that satisfies a uniform interior cone condition. The Sobolev spaces involved may ...