A note on POD model reduction methods for DAEs

Autor:	Falk Ebert
Rok vydání:	2010
Předmět:	Model order reduction Applied Mathematics Mathematical analysis Ode Reduction of order Computer Science Applications Reduction (complexity) Control and Systems Engineering Modeling and Simulation Ordinary differential equation Differential algebraic geometry Differential algebraic equation Software Subspace topology Mathematics
Zdroj:	Mathematical and Computer Modelling of Dynamical Systems. 16:115-131
ISSN:	1744-5051 1387-3954
Popis:	We review some known results for proper orthogonal decomposition (POD) model order reduction applied to ordinary differential equations (ODEs). Then, these results are generalized for several types of differential-algebraic equations (DAEs). We provide algorithms for the model reduction and error bounds for the reduced-order models. Some limits of the approach are pointed out and alternative methods for reduced-order subspace approximation are presented. The POD approach is tested and evaluated for a medium-sized DAE example from multi-body dynamics.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::989b1fa74e496dc4a8f97c1ac2df1576 https://doi.org/10.1080/13873951003740041 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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