Autor:

Veni, Krishna G. ; Satyanarayana, Chirala ; Krishareddy, Chenna M.

Współtwórca:

Jurczak, Paweł - red.

Tytuł:

Residual error based adaptive method with an optimal variable scaling parameter for RBF interpolation

Tytuł publikacji grupowej:

IJAME, volume 28 (2023)

Temat i słowa kluczowe:

radial basis functions ; adaptive residual subsampling ; optimal shape parameter

Abstract:

In infinitely smooth Radial Basis Function (RBF) based interpolation, the scaling parameter plays an important role to obtain an accurate and stable numerical solution. When this method is applied to interpolate a function with sharp gradients, then adaptive methods will also play a significant role in determining an optimal number of centers according to the user desired accuracy. ; In this article, we test an optimization algorithm developed using the nonlinear optimization to find a scaling parameter for RBF along with an adaptive residual subsampling method [1] RBF interpolation. In this process, at each stage of adoption, the available optimal shape parameters have been obtained by solving the system of non-linear equations.

Wydawca:

Zielona Góra: Uniwersytet Zielonogórski

Data wydania:

2023

Typ zasobu:

artykuł

Format:

application/pdf

DOI:

10.59441/ijame-2023-0004

Strony:

37-46

Źródło:

IJAME, volume 28, number 1 (2023)

Jezyk:

eng

Licencja:

CC 4.0

Licencja CC BY-NC-ND 4.0:

kliknij tutaj, żeby przejść

Prawa do dysponowania publikacją:

Biblioteka Uniwersytetu Zielonogórskiego