On the recent advances of spectral analysis for systems arising from fully-implicit RK methods
Numerical Analysis
2025-10-27 v1 Numerical Analysis
Abstract
This work deals with two groups of spectral analysis results for matrices arising in fully implicit Runge-Kutta methods used for linear time-dependent partial differential equations. These were applied for different formulations of the same problem and used different tools to arrive at results that do not immediately coincide. We show the equivalence of the results as well as the equivalence of the approaches, unifying the two directions.
Keywords
Cite
@article{arxiv.2510.21241,
title = {On the recent advances of spectral analysis for systems arising from fully-implicit RK methods},
author = {Michal Outrata},
journal= {arXiv preprint arXiv:2510.21241},
year = {2025}
}