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System‐theoretic model order reduction with pyMOR
Author(s) -
Balicki Linus,
Mlinarić Petar,
Rave Stephan,
Saak Jens
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900459
Subject(s) - reduction (mathematics) , partial differential equation , truncation (statistics) , discretization , computer science , model order reduction , mathematics , order (exchange) , mathematical optimization , truncation error , calculus (dental) , algorithm , mathematical analysis , geometry , economics , machine learning , projection (relational algebra) , finance , medicine , dentistry
This paper shows recent developments in pyMOR, in particular the addition of system‐theoretic methods. All methods are implemented using pyMOR's abstract interfaces, which allows the application to partial differential equation (PDE) models implemented with third‐party libraries. We demonstrate this by applying balanced truncation to a PDE model discretized in FEniCS.