Results 11 to 20 of about 60,572 (264)
A Sequential Optimization Sampling Method for Metamodels with Radial Basis Functions [PDF]
The Scientific World Journal, 2014 Metamodels have been widely used in engineering design to facilitate analysis and optimization of complex systems that involve computationally expensive simulation programs. The accuracy of metamodels is strongly affected by the sampling methods. In this
Guang Pan +3 more
doaj +2 more sources
Scaling of radial basis functions
IMA Journal of Numerical Analysis, 2023 Abstract This paper studies the influence of scaling on the behavior of radial basis function interpolation. It focuses on certain central aspects, but does not try to be exhaustive. The most important questions are: How does the error of a kernel-based interpolant vary with the scale of the kernel chosen?
Larsson, Elisabeth, Schaback, Robert
openaire +6 more sources
Wavelets, fractals, and radial basis functions [PDF]
IEEE Transactions on Signal Processing, 2002 Wavelets and radial basis functions (RBFs) lead to two distinct ways of representing signals in terms of shifted basis functions. RBFs, unlike wavelets, are nonlocal and do not involve any scaling, which makes them applicable to nonuniform grids. Despite these fundamental differences, we show that the two types of representation are closely linked ...
Blu, T., Unser, M.
openaire +3 more sources
Radial Basis Functions for the Sphere [PDF]
, 2001 In this paper we compute the ultraspherical series expansions for the more commonly used radial basis functions. In several special cases we provide asymptotic estimates for the decay rate of the coefficients involved. knowledge of the decay rate of these coefficients is useful because they enable error estimates for spherical interpolation.
Hubbert, Simon, Baxter, Brad J.C.
openaire +1 more source
Trefftz radial basis functions (TRBF)
Computer Assisted Methods in Engineering and Science, 2022 The TRBF's are radial functions satisfying governing equation in the domain. They can be used as interpolation functions of the field variables especially in boundary methods.
Vladimir Kompis +3 more
doaj
Engineering Reports, 2019 Radial basis functions (RBFs), first proposed for interpolation of scattered data, have gotten the scientific community interest in the past two decades, with applications ranging from interpolation with the dual reciprocity approach of the boundary ...
Fernando César Meira Menandro
doaj +1 more source
Radial Basis Functions Approximation Method for Time-Fractional FitzHugh–Nagumo Equation
Fractal and Fractional, 2023 In this paper, a numerical approach employing radial basis functions has been applied to solve time-fractional FitzHugh–Nagumo equation. Spatial approximation is achieved by combining radial basis functions with the collocation method, while temporal ...
Mehboob Alam +4 more
doaj +1 more source
Partial Differential Equations in Applied Mathematics, 2021 The localized method is one of the popular approaches in solving large-scale problems in science and engineering. In this paper, we implement the localized method of particular solutions using polynomial basis functions for solving various nonlinear ...
T. Dangal +2 more
doaj +1 more source
On Spherical Averages of Radial Basis Functions [PDF]
Foundations of Computational Mathematics, 2008 First of all the author proves that the spherical average operator \(A,\) \[ Af(x)=\int_{S^{d-1}}f(\| x\|\theta)d\mu(\theta),\quad x\in\mathbb R^d, \] (where \(\|\cdot\|\) denotes the Euclidean norm and \(\mu\) is the probability \((d-1)\)-dimensional Lebesgue measure on the unit sphere \((S^{d-1})\) and the Fourier transform operator \(F\) commute ...
openaire +3 more sources
Dynamics Model Abstraction Scheme Using Radial Basis Functions
Journal of Control Science and Engineering, 2012 This paper presents a control model for object manipulation. Properties of objects and environmental conditions influence the motor control and learning.
Silvia Tolu +4 more
doaj +1 more source