نتایج جستجو برای: inverse multiquadric and radial basis function thus

تعداد نتایج: 16992616  

2006
OREN E. LIVNE GRADY B. WRIGHT

Abstract. Radial basis functions (RBFs) are a powerful tool for interpolating/approximating multidimensional scattered data. Notwithstanding, RBFs pose computational challenges, such as the efficient evaluation of an n-center RBF expansion at m points. A direct summation requires O(nm) operations. We present a new multilevel method whose cost is only O((n + m) ln(1/δ)), where δ is the desired a...

1999
Yiu-Chung Hon Kwok Fai Cheung Xian-Zhong Mao Edward J. Kansa

A computational algorithm based on the multiquadric, which is a continuously diierentiable radial basis function, is devised to solve the shallow-water equations. The numerical solutions are evaluated at scattered collocation points and the spatial partial derivatives are formed directly from partial derivatives of the radial basis function, not by any diierence scheme. The method does not requ...

Journal: :Journal of Approximation Theory 2017
Martin D. Buhmann Oleg Davydov

While it was noted by R. Hardy and proved in a famous paper by C. A. Micchelli that radial basis function interpolants s(x) = ∑ λjφ(‖x − xj‖) exist uniquely for the multiquadric radial function φ(r) = √ r2 + c2 as soon as the (at least two) centres are pairwise distinct, the error bounds for this interpolation problem always demanded an added constant to s. By using Pontryagin native spaces, we...

Journal: :Fractal and fractional 2022

The inverse multiquadric radial basis function (RBF), which is one of the most important functions in theory RBFs, employed on an adaptive mesh points for pricing a fractional Black–Scholes partial differential equation (PDE) based modified RL derivative. To solve this problem, discretization along space carried out non-uniform grid order to focus hot area, at initial condition model, i.e., pay...

2008
Lin-Tian Luh

In the 1990’s exponential-type error bounds appeared in the theory of radial basis functions. For multiquadric interpolation it is O(λ 1 d ) as d → 0, where λ is a constant satisfying 0 < λ < 1. For Gaussian interpolation it is O(C d) c′ d as d → 0 where C ′ and c are constants. In both cases the parameter d, called fill distance, measures the spacing of the points where interpolation occurs. T...

پایان نامه :دانشگاه آزاد اسلامی واحد کرمانشاه - دانشکده مهندسی برق و الکترونیک 1393

a novel ultra wideband microstrip bandpass filter using radial stub loaded resonator and interdigital coupled lines is presented in this paper. the radial stub loaded resonator and decagonal patch form a resonator named m to create tuneable multiple notches in the passband for suppression wlan interference. to realize sharp roll-off, two adjustable transmission nulls are located at the lower an...

Journal: :Mathematics 2022

In this article, we propose a simplified radial basis function (RBF) method with exterior fictitious sources for solving elliptic boundary value problems (BVPs). Three RBFs, including Gaussian, multiquadric (MQ), and inverse (IMQ) without the shape parameter, are adopted in study. With consideration of many outside domain, distance RBF is always greater than zero, such that can remove parameter...

1990
Sherif M. Botros Christopher G. Atkeson

We examine the ability of radial basis functions (RBFs) to generalize. We compare the performance of several types of RBFs. We use the inverse dynamics of an idealized two-joint arm as a test case. We find that without a proper choice of a norm for the inputs, RBFs have poor generalization properties. A simple global scaling of the input variables greatly improves performance. We suggest some e...

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