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Volumn 252, Issue 3, 2002, Pages 527-544

Proper orthogonal decomposition and its applications - Part I: Theory

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DIFFERENTIATION (CALCULUS); EIGENVALUES AND EIGENFUNCTIONS; ERRORS; FLOW OF FLUIDS; LAGRANGE MULTIPLIERS; MATRIX ALGEBRA; MICROELECTROMECHANICAL DEVICES; PRINCIPAL COMPONENT ANALYSIS; THEOREM PROVING; VECTORS; VIBRATIONS (MECHANICAL);

EID: 0037007759     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2001.4041     Document Type: Article
Times cited : (680)

References (33)
  • 1
    • 0011075775 scopus 로고    scopus 로고
    • An introduction to the proper orthogonal decomposition
    • A. Chatterjee 2000 Current Science 78, 808-817. An introduction to the proper orthogonal decomposition.
    • (2000) Current Science , vol.78 , pp. 808-817
    • Chatterjee, A.1
  • 3
    • 0001211607 scopus 로고    scopus 로고
    • On the physical interpretation of proper orthogonal modes in vibrations
    • B. F. Feeny and R. Kappagantu 1998 Journal of Sound and Vibration 211, 607-616 On the physical interpretation of proper orthogonal modes in vibrations.
    • (1998) Journal of Sound and Vibration , vol.211 , pp. 607-616
    • Feeny, B.F.1    Kappagantu, R.2
  • 4
    • 0033531045 scopus 로고    scopus 로고
    • Comments on "On the physical interpretation of proper orthogonal modes in vibrations"
    • B. Ravindra (1999) Journal of Sound and Vibration 219, 189-192. Comments on "On the physical interpretation of proper orthogonal modes in vibrations".
    • (1999) Journal of Sound and Vibration , vol.219 , pp. 189-192
    • Ravindra, B.1
  • 5
    • 0000634529 scopus 로고    scopus 로고
    • An "optimal" modal reduction of a system with frictional excitation
    • R. Kappagantu and B. F. Feeny 1999 Journal of Sound and Vibration 224, 863-877. An "optimal" modal reduction of a system with frictional excitation.
    • (1999) Journal of Sound and Vibration , vol.224 , pp. 863-877
    • Kappagantu, R.1    Feeny, B.F.2
  • 6
    • 0034250967 scopus 로고    scopus 로고
    • Part 1: Dynamical characterization of a frictionally excited beam
    • R. Kappagantu and B. F. Feeny 2000 Nonlinear Dynamics 22, 317-333. Part 1: dynamical characterization of a frictionally excited beam.
    • (2000) Nonlinear Dynamics , vol.22 , pp. 317-333
    • Kappagantu, R.1    Feeny, B.F.2
  • 7
    • 0034274169 scopus 로고    scopus 로고
    • Part 2: Proper orthogonal modal modeling of a frictionally excited beam
    • R. Kappagantu and B. F. Feeny 2000 Nonlinear Dynamics 23, 1-11, Part 2: proper orthogonal modal modeling of a frictionally excited beam.
    • (2000) Nonlinear Dynamics , vol.23 , pp. 1-11
    • Kappagantu, R.1    Feeny, B.F.2
  • 8
    • 0035825912 scopus 로고    scopus 로고
    • Proper orthogonal decomposition (POD) of a class of vibroimpact oscillations
    • M. F. A. Azeez and A. F. Vakakis 2001 Journal of Sound and Vibration 240, 859-889. Proper orthogonal decomposition (POD) of a class of vibroimpact oscillations.
    • (2001) Journal of Sound and Vibration , vol.240 , pp. 859-889
    • Azeez, M.F.A.1    Vakakis, A.F.2
  • 11
    • 0033898156 scopus 로고    scopus 로고
    • Non-linear normal modes and non-parametric system identification of non-linear oscillators
    • X. H. Ma, M. F. A. Azeez and A. F. Vakakis 2000 Mechanical Systems and Signal Processing 14, 37-48. Non-linear normal modes and non-parametric system identification of non-linear oscillators.
    • (2000) Mechanical Systems and Signal Processing , pp. 37-48
    • Ma, X.H.1    Azeez, M.F.A.2    Vakakis, A.F.3
  • 14
    • 0032623990 scopus 로고    scopus 로고
    • Dynamics of large scale coupled structural mechanical systems: A singular perturbation proper orthogonal decomposition approach
    • I. T. Georgiou and I. B. Schwartz 1999 SIAM Journal on Applied Mathematics 59, 1178-1207. Dynamics of large scale coupled structural mechanical systems: a singular perturbation proper orthogonal decomposition approach.
    • (1999) SIAM Journal on Applied Mathematics , vol.59 , pp. 1178-1207
    • Georgiou, I.T.1    Schwartz, I.B.2
  • 16
    • 0032594977 scopus 로고    scopus 로고
    • Generating efficient dynamical models for microelectromechanical systems from a few finite-element simulation runs
    • E. S. Hung and S. D. Senturia 1999 Journal of Microelectromechanical Systems 8, 280-289. Generating efficient dynamical models for microelectromechanical systems from a few finite-element simulation runs.
    • (1999) Journal of Microelectromechanical Systems , vol.8 , pp. 280-289
    • Hung, E.S.1    Senturia, S.D.2
  • 23
    • 0011140910 scopus 로고
    • New York: John Wiley & Sons Inc.
    • D. C. Murdoch 1970 Linear Algebra. New York: John Wiley & Sons Inc.
    • (1970) Linear Algebra
    • Murdoch, D.C.1
  • 25
    • 0019009028 scopus 로고
    • The singular value decomposition: Its computation and some applications
    • V. C. Klema and A. J. Laub 1980 IEEE Transactions on Automatic Control 25, 164-176. The singular value decomposition: its computation and some applications.
    • (1980) IEEE Transactions on Automatic Control , vol.25 , pp. 164-176
    • Klema, V.C.1    Laub, A.J.2
  • 29
    • 0024770450 scopus 로고
    • Some properties of singular value decomposition and their applications to digital signal processing
    • E. Biglieri and K. Yao 1989 Signal Processing 18, 277-289. Some properties of singular value decomposition and their applications to digital signal processing.
    • (1989) Signal Processing , vol.18 , pp. 277-289
    • Biglieri, E.1    Yao, K.2
  • 31
    • 35949015106 scopus 로고
    • Singular-value decomposition and embedding dimension
    • A. I. Mees, P. E. Rapp and L. S. Jennings 1987 Physical Review A 36, 340-346. Singular-value decomposition and embedding dimension.
    • (1987) Physical Review A , vol.36 , pp. 340-346
    • Mees, A.I.1    Rapp, P.E.2    Jennings, L.S.3
  • 32
    • 0033177060 scopus 로고    scopus 로고
    • Control of the burgers equation by a reduced-order approach using proper orthogonal decomposition
    • K. Kunisch and S. Volkwein 1999 Journal of Optimization Theory and Applications 102, 345-371. Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition.
    • (1999) Journal of Optimization Theory and Applications , vol.102 , pp. 345-371
    • Kunisch, K.1    Volkwein, S.2
  • 33
    • 0028812092 scopus 로고
    • On the relationship between feature-recognizing MRI encoded by singular value decomposition
    • Y. Cao and D. N. Levin 1995 Magnetic Resonance in Medicine 33, 140-142. On the relationship between feature-recognizing MRI encoded by singular value decomposition.
    • (1995) Magnetic Resonance in Medicine , vol.33 , pp. 140-142
    • Cao, Y.1    Levin, D.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.