On the matching of eigensolutions to parametric partial differential equations
Numerical Analysis
2022-07-15 v2 Numerical Analysis
Abstract
In this paper a novel numerical approximation of parametric eigenvalue problems is presented. We motivate our study with the analysis of a POD reduced order model for a simple one dimensional example. In particular, we introduce a new algorithm capable to track the matching of eigenvalues when the parameters vary.
Cite
@article{arxiv.2207.06145,
title = {On the matching of eigensolutions to parametric partial differential equations},
author = {Moataz M. Alghamdi and Fleurianne Bertrand and Daniele Boffi and Francesca Bonizzoni and Abdul Halim and Gopal Priyadarshi},
journal= {arXiv preprint arXiv:2207.06145},
year = {2022}
}