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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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Bibliografiska uppgifter
I publikationen:Proc Math Phys Eng Sci
Huvudupphovsmän: Shah, A. A., Xing, W. W., Triantafyllidis, V.
Materialtyp: Artigo
Språk:Inglês
Publicerad: The Royal Society Publishing 2017
Ämnen:
Länkar:https://ncbi.nlm.nih.gov/pmc/articles/PMC5415687/
https://ncbi.nlm.nih.gov/pubmed/28484327
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1098/rspa.2016.0809
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