Proper orthogonal decomposition method for some parabolic type equations

In this paper proper orthogonal decomposition method for 1D parabolic type equations is described. First basic ideas of method are presented and application scheme for compiutations is derived. Later the sensitivity of proper orthogonal decomposition method is analyzed depending on the diffusion coe...

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Veröffentlicht in:Lietuvos matematikos rinkinys 2012-12, Vol.53 (B)
Hauptverfasser: Jankevičiūtė, Gerda, Leonavičienė, Teresė, Čiegis, Raimondas
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper proper orthogonal decomposition method for 1D parabolic type equations is described. First basic ideas of method are presented and application scheme for compiutations is derived. Later the sensitivity of proper orthogonal decomposition method is analyzed depending on the diffusion coefficient and source function. The obtained numerical results are presented in figures and tables.
ISSN:0132-2818
2335-898X
DOI:10.15388/LMR.B.2012.02