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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
- -
- Citation
- -
- Source
- -
- Journal Title
- -
- 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.
- 전남대학교
- KCI
- Journal of the Korean Society for Industrial and Applied Mathematics
저자 정보
| 이름 | 소속 |
|---|---|
| 신병춘 | 수학과 |