A Numerical Study of Combining RBF Interpolation and Finite Differences to Approximate Differential Operators
Numerical Analysis
2026-02-26 v3 Numerical Analysis
Abstract
This paper focuses on RBF-based meshless methods for approximating differential operators, one of the most popular being RBF-FD. Recently, a hybrid approach was introduced that combines RBF interpolation and traditional finite difference stencils. We compare the accuracy of this method and RBF-FD on a two-dimensional Poisson problem for standard five-point and nine-point stencils and different method parameters.
Cite
@article{arxiv.2505.14232,
title = {A Numerical Study of Combining RBF Interpolation and Finite Differences to Approximate Differential Operators},
author = {Adrijan Rogan and Andrej Kolar-Požun and Gregor Kosec},
journal= {arXiv preprint arXiv:2505.14232},
year = {2026}
}
Comments
MIPRO 2025 Conference paper, preprint, 6 pages, 7 figures