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논문 리스트

2015
NUMERICAL SOLUTIONS OF BURGERS EQUATION BY REDUCED-ORDER MODELING BASED ON PSEUDO-SPECTRAL COLLOCATION METHOD NUMERICAL SOLUTIONS OF BURGERS EQUATION BY REDUCED-ORDER MODELING BASED ON PSEUDO-SPECTRAL COLLOCATION METHOD
한국산업응용수학회
신병춘
논문정보
Publisher
Journal of the Korean Society for Industrial and Applied Mathematics
Issue Date
2015-06-25
Keywords
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Citation
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Source
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Journal Title
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Volume
19
Number
2
Start Page
123
End Page
135
DOI
ISSN
12269433
Abstract
In this paper, a reduced-order modeling(ROM) of Burgers equations is studied based on pseudo-spectral collocation method. A ROM basis is obtained by the proper orthogonal decomposition(POD). Crank-Nicolson scheme is applied in time discretization and the pseudo-spectral element collocation method is adopted to solve linearlized equation based on the Newton method in spatial discretization. We deliver POD-based algorithm and present some numerical experiments to show the efficiency of our proposed method.

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이름 소속
신병춘 수학과