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Title: Residual error based adaptive method with an optimal variable scaling parameter for RBF interpolation
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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.
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Zielona Góra: Uniwersytet Zielonogórski
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Pages:
Source:
IJAME, volume 28, number 1 (2023)
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License CC BY-NC-ND 4.0:
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Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Mechanical Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME) > International Journal of Applied Mechanics and Engineering (IJAME) (2023)
Last modified:
Jul 6, 2023
In our library since:
May 17, 2023
Number of object content hits:
68
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/81686
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International Journal of Applied Mechanics and Engineering (IJAME)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 29 (2024)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 28 (2023)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 28, number 1 (2023)
- International Journal of Applied Mechanics and Engineering (IJAME), volume 28, number 1 (2023) - spis treści
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International Journal of Applied Mechanics and Engineering (IJAME), volume 28, number 4 (2023)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 28, number 1 (2023)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 18 (2013)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 29 (2024)
| Edition name | Date |
|---|---|
| Residual error based adaptive method with an optimal variable scaling parameter for RBF interpolation | Jul 6, 2023 |
