Half-plane approximation with radial functions
نویسندگان
چکیده
منابع مشابه
Approximation by Radial Basis Functions with Finitely Many Centers
Interpolation by translates of \radial" basis functions is optimal in the sense that it minimizes the pointwise error functional among all comparable quasi{interpolants on a certain \native" space of functions F . Since these spaces are rather small for cases where is smooth, we study the behavior of interpolants on larger spaces of the form F 0 for less smooth functions 0. It turns out that in...
متن کاملRadial Basis Functions: L -approximation orders with scattered centres
In this paper we generalize several results on uniform approximation orders with radial basis functions in (Buhmann, Dyn and Levin, 1993) and (Dyn and Ron, 1993) to L-approximation orders. These results apply, in particular, to approximants from spaces spanned by translates of radial basis functions by scattered centres. Examples to which our results apply include quasi-interpolation and least-...
متن کاملKernel based approximation in Sobolev spaces with radial basis functions
In this paper, we study several radial basis function approximation schemes in Sobolev spaces. We obtain an optional error estimate by using a class of smoothing operators. We also discussed sufficient conditions for the smoothing operators to attain the desired approximation order. We then construct the smoothing operators by some compactly supported radial kernels, and use them to approximate...
متن کاملOn Smoothing for Multilevel Approximation with Radial Basis Functions
In a recent paper with Jerome we have suggested the use of a smoothing operation at each step of the basic multilevel approximation algorithm to improve the convergence rate of the algorithm. In our original paper the smoothing was deened via convolution, and its actual implementation was done via numerical quadrature. In this paper we suggest a diierent approach to smoothing, namely the use of...
متن کاملOrder-preserving derivative approximation with periodic radial basis functions
In this exploratory paper we study the convergence rates of an iterated method for approximating derivatives of periodic functions using radial basis function (RBF) interpolation. Given a target function sampled on some node set, an approximation of the m derivative is obtained by m successive applications of the operator “interpolate, then differentiate” this process is known in the spline com...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2006
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2006.04.012