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Reduced-order modelling of parameter-dependent, linear and nonlinear dynamic partial differential equation models

In this paper, we develop reduced-order models for dynamic, parameter-dependent, linear and nonlinear partial differential equations using proper orthogonal decomposition (POD). The main challenges are to accurately and efficiently approximate the POD bases for new parameter values and, in the case...

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Detalles Bibliográficos
Autores principales: Shah, A. A., Xing, W. W., Triantafyllidis, V.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society Publishing 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5415687/
https://www.ncbi.nlm.nih.gov/pubmed/28484327
http://dx.doi.org/10.1098/rspa.2016.0809