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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 43, 2003 - Issue 4
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Original Articles

AN EFFICIENT COMPUTATIONAL METHOD FOR SOLVING LARGE-SCALE DIFFERENTIAL SENSITIVITY PROBLEMS

Pages 353-372 | Published online: 02 Feb 2011

References

  • Rahni , N. 1998 . Validation de modèles et variabilitè des paramètres: Analyse de sensibilité et d'incertitude-Procédures d'optimisation. Application á des modèles thermiques du bâtiment, Ph.D. thesis , Paris : Université Paris 12 .
  • Cacuci , D. G. 1981 . Sensitivity Theory for Non-linear Systems. I. Nonlinear Functional Analysis Approach . Math. Phys. , 22 : 2794 – 2802 .
  • el Khoury , K. and Neveu , A. 1989 . Analyse modale des systèmes thermiques en présence de transferts non-réciproques . Int. J. Heat Mass Transfer , 32 : 213 – 226 .
  • el Khoury , K. 1989 . Formulation modale de problémes thermiques de diffusion avec transport, Ph.D. thesis , Paris : École des Mines de Paris .
  • Palomo , E. 2000 . Résolution de problèmes thermiques de grande dimension. Méthodes de réduction, Ph.D. thesis , Paris : Université Paris 12 .
  • Marshall , S. A. 1966 . An Approximate Method for Reducing the Order of a Linear System . Control , 10 : 642 – 643 .
  • Michailesco , G. , Siret , J. M. and Bertrand , P. 1979 . Modélisation de grands systémes par agrégation . R.A.I.R.O, Automatique/Systems Analysis and Control , 13 : 159 – 170 .
  • Oulefky , A. and Neveu , A. 1993 . Réduction par amalgame modal d'un modéle thermique . Journal de Physique , 3 : 303 – 320 .
  • Moore , B. C. 1981 . Principal Components Analysis in Linear Systems: Controllability, Observability, and Model Reduction . IEEE Trans. Automatic Control, AC-26 (1) , : 17 – 32 .
  • Ait-Yahia , A. and Palomo , E. 1999 . Themal Systems Modelling via Singular Value Decomposition: Direct and Modular Approach . Appl. Math. Model. , 23 : 447 – 468 .
  • Ait-Yahia , A. and Palomo , E. 2000 . Numerical Simplication Method for State-Space Models of Thermal Systems . Numer. Heat Transfer B , 37 : 201 – 225 .
  • Arnold , L. 1971 . Stochastic Differential Equations: Theory and Applications , New York : Wiley .
  • Mullis , C. T. and Roberts , R. A. 1976 . Synthesis of Minimum Round off Noise Fixed Point Digital Filters . IEEE Trans. Circ. & Syst., CAS-23 , : 551 – 562 .
  • Laub , A. J. 1980 . Computation of Balancing Transformation. Proc. 1980 Joint Automatic Control Conf , San Francisco, CA : FA8-E .
  • Glover , K. 1984 . All Optimal Hankel-Norm Approximations of Linear Multivariable Systems and Their L8-Error Bounds . Int. J. Control , 39 : 1115 – 1193 .
  • Girault , P. and Delilles , S. 1995 . Description of ETNA Cells. Physical and Geometrical Configuration, Electricte de France Rep. EDF-6025 , France : Moret-sur-Loing, De de France .
  • Lefèbvre , G. 1997 . Modal-Based Simulation of the Thermal Behavior of a Building: The M2m Software . Energy and Building , 25 : 19 – 30 .
  • Shokoohi , S. , Mr. Silverman , L. and Mr. van Dooren , P. 1983 . Linear Time-Varying Systems: Balancing and Model Reduction . Trans. IEEE Automatic Control, AC-28 , : 810 – 822 .

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