Approximation of Definite Integrals Over the Volume of the Ball
Abstract
A Radial Basis Function Generated Finite-Differences (RBF-FD) inspired technique for evaluating definite integrals over the volume of the ball in three dimensions is described. Such methods are necessary in many areas of Applied Mathematics, Mathematical Physics and many other application areas. Previous approaches needed restrictive uniformity in the node set, which the algorithm presented here does not require. By using RBF-FD approach, the proposed algorithm computes quadrature weights for arbitrarily scattered nodes in only operations with high orders of accuracy.
Keywords
Cite
@article{arxiv.1903.11490,
title = {Approximation of Definite Integrals Over the Volume of the Ball},
author = {Jonah A. Reeger},
journal= {arXiv preprint arXiv:1903.11490},
year = {2020}
}
Comments
This is a pre-print of an article published in the Journal of Scientific Computing. The final authenticated version titled "Approximate Integrals Over the Volume of the Ball" is available online at: https://doi.org/10.1007/s10915-020-01231-y