Reliability Conditions in Quadrature Algorithms
Numerical Analysis
2025-10-20 v1 Mathematical Software
Numerical Analysis
Computational Physics
Abstract
The detection of insufficiently resolved or ill-conditioned integrand structures is critical for the reliability assessment of the quadrature rule outputs. We discuss a method of analysis of the profile of the integrand at the quadrature knots which allows inferences approaching the theoretical 100% rate of success, under error estimate sharpening. The proposed procedure is of the highest interest for the solution of parametric integrals arising in complex physical models.
Cite
@article{arxiv.cs/0303004,
title = {Reliability Conditions in Quadrature Algorithms},
author = {Gh. Adam and S. Adam and N. M. Plakida},
journal= {arXiv preprint arXiv:cs/0303004},
year = {2025}
}
Comments
23 pages, 8 figures, 1 table, LaTeX2e, elsart.cls macro added, submitted to Computer Physics Communications