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Lietuvos Matematikos Rinkinys
Article . 2012 . Peer-reviewed
License: CC BY
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Lietuvos Matematikos Rinkinys
Article
License: CC BY
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Lietuvos Matematikos Rinkinys
Article . 2012
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Proper orthogonal decomposition method for some parabolic type equations

Authors: Gerda Jankevičiūtė; Teresė Leonavičienė; Raimondas Čiegis;

Proper orthogonal decomposition method for some parabolic type equations

Abstract

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.

Keywords

proper orthogonal decomposition method, numerical methods, QA1-939, parabolic equations, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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