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arXiv:2207.06145 [math.NA]AbstractReferencesReviewsResources

On the matching of eigensolutions to parametric partial differential equations

Moataz M. Alghamdi, Fleurianne Bertrand, Francesca Bonizzoni, Abdul Halim, Gopal Priyadarshi, Daniele Boffi

Published 2022-07-13Version 1

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.

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