Sivashinsky
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Related Articles from SNS
Parametric Reduced Order Models for the Generalized Kuramoto--Sivashinsky Equations
arXiv:2502.02718v2 Announce Type: replace Abstract: The paper studies parametric Reduced Order Models (ROMs) for the Kuramoto--Sivashinsky (KS) and generalized Kuramoto--Sivashinsky (gKS) equations. We consider several POD and POD-DEIM projection ROMs with various strategies for parameter sampling and snapshot collection. The aim is to identify an approach for constructing a ROM that is efficient across a range of parameters, encompassing several regimes exhibited by the KS and gKS...