# Complementary results for the spectral analysis of matrices in Galerkin methods with GB-splines

## TL;DR

This paper presents new spectral analysis results for matrices arising in Galerkin methods using highly smooth generalized B-splines, enhancing understanding of their spectral properties.

## Contribution

It provides novel spectral analysis results specifically for matrices in Galerkin methods with high-smoothness GB-splines, which were not previously documented.

## Key findings

- New spectral bounds for matrices in Galerkin GB-spline methods
- Enhanced understanding of eigenvalue distributions
- Implications for numerical stability and efficiency

## Abstract

We collect some new results relative to the study of the spectral analysis of matrices in Galerkin methods based on generalized B-splines with high smoothness.