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Volumn 29, Issue 6, 2007, Pages 2621-2643

The effect of problem perturbations on nonlinear dynamical systems and their reduced-order models

Author keywords

Adjoint method; Model reduction; Singular value analysis; Small sample statistical condition estimation; Valid parameter range

Indexed keywords

DYNAMICAL SYSTEMS; STRUCTURAL ANALYSIS;

EID: 55549138403     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/050625278     Document Type: Article
Times cited : (12)

References (22)
  • 1
    • 4544371785 scopus 로고    scopus 로고
    • Approximation of large-scale dynamical systems: An overview
    • A. ANTOULAS AND D. SORENSEN, Approximation of large-scale dynamical systems: An overview, Internat. J. Appl. Math. Comput. Sci., 11 (2001), pp. 1093-1121.
    • (2001) Internat. J. Appl. Math. Comput. Sci , vol.11 , pp. 1093-1121
    • ANTOULAS, A.1    SORENSEN, D.2
  • 2
    • 0002987221 scopus 로고
    • Stability of computational methods for constrained dynamics systems
    • U. M. ASCHER AND L. R. PETZOLD, Stability of computational methods for constrained dynamics systems, SIAM J. Sci. Comput., 14 (1993), pp. 95-120.
    • (1993) SIAM J. Sci. Comput , vol.14 , pp. 95-120
    • ASCHER, U.M.1    PETZOLD, L.R.2
  • 4
    • 0038070188 scopus 로고    scopus 로고
    • Adjoint sensitivity analysis for differential-algebraic equations: The adjoint DAE system and its numerical solution
    • Y. CAO, S. LI, L. PETZOLD, AND R. SERBAN, Adjoint sensitivity analysis for differential-algebraic equations: The adjoint DAE system and its numerical solution, SIAM J. Sci. Comput., 24 (2003), pp. 1076-1089.
    • (2003) SIAM J. Sci. Comput , vol.24 , pp. 1076-1089
    • CAO, Y.1    LI, S.2    PETZOLD, L.3    SERBAN, R.4
  • 5
    • 0001564397 scopus 로고    scopus 로고
    • Study of the predictability of tropical Pacific SST in a coupled atmosphere-ocean model using singular vector analysis: The role of the annual cycle and the ENSO cycle
    • Y. CHEN, D. BATTISTI, T. PALMER, J. BARSUGLI, AND E. SARACHIK, Study of the predictability of tropical Pacific SST in a coupled atmosphere-ocean model using singular vector analysis: The role of the annual cycle and the ENSO cycle, Mon. Weather Rev., 125 (1997), pp. 831-845.
    • (1997) Mon. Weather Rev , vol.125 , pp. 831-845
    • CHEN, Y.1    BATTISTI, D.2    PALMER, T.3    BARSUGLI, J.4    SARACHIK, E.5
  • 6
    • 0000223905 scopus 로고    scopus 로고
    • On the computation of Lyapunov exponents for continuous dynamical systems
    • L. DIECI, R. D. RUSSELL, AND E. S. VAN VLECK, On the computation of Lyapunov exponents for continuous dynamical systems, SIAM J. Numer. Anal., 34 (1997), pp. 402-423.
    • (1997) SIAM J. Numer. Anal , vol.34 , pp. 402-423
    • DIECI, L.1    RUSSELL, R.D.2    VAN VLECK, E.S.3
  • 7
    • 0037104886 scopus 로고    scopus 로고
    • Isopycnal empirical orthogonal functions (EOFs) in the north and tropical Atlantic and their use in estimation problems
    • P. FAUCHER, M. GAVART, AND P. D. MEY, Isopycnal empirical orthogonal functions (EOFs) in the north and tropical Atlantic and their use in estimation problems, J. Geophys. Res-Oceans, 107 (2002), p. 3107.
    • (2002) J. Geophys. Res-Oceans , vol.107 , pp. 3107
    • FAUCHER, P.1    GAVART, M.2    MEY, P.D.3
  • 9
    • 4544354870 scopus 로고    scopus 로고
    • A survey of model reduction by balanced truncation and some new results
    • S. GUGERCIN AND A. C. ANTOULAS, A survey of model reduction by balanced truncation and some new results, Internat. J. Control, 77 (2004), pp. 748-766.
    • (2004) Internat. J. Control , vol.77 , pp. 748-766
    • GUGERCIN, S.1    ANTOULAS, A.C.2
  • 11
    • 33747163532 scopus 로고    scopus 로고
    • Error estimation for reduced-order models of dynamical systems
    • C. HOMESCU, L. R. PETZOLD, AND R. SERBAN, Error estimation for reduced-order models of dynamical systems, SIAM J. Numer. Anal., 43 (2005), pp. 1693-1714.
    • (2005) SIAM J. Numer. Anal , vol.43 , pp. 1693-1714
    • HOMESCU, C.1    PETZOLD, L.R.2    SERBAN, R.3
  • 13
    • 0002565781 scopus 로고
    • Small-sample statistical condition estimates for general matrix functions
    • C. S. KENNEY AND A. J. LAUB, Small-sample statistical condition estimates for general matrix functions, SIAM J. Sci. Comput., 15 (1994), pp. 36-61.
    • (1994) SIAM J. Sci. Comput , vol.15 , pp. 36-61
    • KENNEY, C.S.1    LAUB, A.J.2
  • 14
    • 0033177060 scopus 로고    scopus 로고
    • Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition
    • K. KUNISCH AND S. VOLKWEIN, Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition, J. Optim. Theory Appl., 102 (1999), pp. 345-371.
    • (1999) J. Optim. Theory Appl , vol.102 , pp. 345-371
    • KUNISCH, K.1    VOLKWEIN, S.2
  • 16
    • 1242299020 scopus 로고    scopus 로고
    • A data assimilation technique applied to estimate parameters for the NEMURO marine ecosystem model
    • H. KURODA AND M. KISHI, A data assimilation technique applied to estimate parameters for the NEMURO marine ecosystem model, Ecological Modelling, 172 (2004), pp. 69-85.
    • (2004) Ecological Modelling , vol.172 , pp. 69-85
    • KURODA, H.1    KISHI, M.2
  • 17
    • 25144434152 scopus 로고    scopus 로고
    • Analysis of the singular vectors of the full-physics fsu global spectral model
    • Z. LI, I. NAVON, AND M. HUSSAINI, Analysis of the singular vectors of the full-physics fsu global spectral model, Tellus A, 57 (2005), pp. 560-574.
    • (2005) Tellus A , vol.57 , pp. 560-574
    • LI, Z.1    NAVON, I.2    HUSSAINI, M.3
  • 18
    • 0001036009 scopus 로고
    • A study of the predictability of a 28 variable atmospheric model
    • E. LORENZ, A study of the predictability of a 28 variable atmospheric model, Tellus, 17 (1965), pp. 321-333.
    • (1965) Tellus , vol.17 , pp. 321-333
    • LORENZ, E.1
  • 19
    • 0033119133 scopus 로고    scopus 로고
    • Model reduction for chemical kinetics: An optimization approach
    • L. PETZOLD AND W. ZHU, Model reduction for chemical kinetics: An optimization approach, AIChe J., 45 (1999), pp. 869-886.
    • (1999) AIChe J , vol.45 , pp. 869-886
    • PETZOLD, L.1    ZHU, W.2
  • 20
    • 9244228981 scopus 로고    scopus 로고
    • A new look at proper orthogonal decomposition
    • M. RATHINAM AND L. R. PETZOLD, A new look at proper orthogonal decomposition, SIAM J. Numer. Anal., 41 (2003), pp. 1893-1925.
    • (2003) SIAM J. Numer. Anal , vol.41 , pp. 1893-1925
    • RATHINAM, M.1    PETZOLD, L.R.2
  • 21
    • 0032004557 scopus 로고    scopus 로고
    • Periodic orbits, Lyapunov vectors, and singular vectors in the lorenz system
    • A. TREVISAN AND F. PANCOTTI, Periodic orbits, Lyapunov vectors, and singular vectors in the lorenz system, J. Atmospheric Sci., 55 (1998), pp. 390-398.
    • (1998) J. Atmospheric Sci , vol.55 , pp. 390-398
    • TREVISAN, A.1    PANCOTTI, F.2
  • 22
    • 0042880809 scopus 로고    scopus 로고
    • Adaptive model reduction for chemical kinetics
    • P. TUPPER, Adaptive model reduction for chemical kinetics, BIT, 42 (2002), pp. 447-465.
    • (2002) BIT , vol.42 , pp. 447-465
    • TUPPER, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.