Parameterization of Large Variability using the Hyper-Dual Meta-Model.

Bonney, Matthew; Kammer, Daniel C.

doi:10.1007/978-3-319-54858-6_20

Parameterization of Large Variability using the Hyper-Dual Meta-Model.

Conference · Sun Jan 01 04:00:00 EST 2017

DOI:https://doi.org/10.1007/978-3-319-54858-6_20· OSTI ID:1417247

Bonney, Matthew; Kammer, Daniel C.

Abstract not provided.

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Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

DOE Contract Number:: AC04-94AL85000

OSTI ID:: 1417247

Report Number(s):: SAND2017-0253C; 650305

Country of Publication:: United States

Language:: English

References (14)

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Extensions of the first and second complex-step derivative approximations Lai, K. -L.; Crassidis, J. L. Journal of Computational and Applied Mathematics, Vol. 219, Issue 1 https://doi.org/10.1016/j.cam.2007.07.026	journal	September 2008
Selection of Component Modes for Craig-Bampton Substructure Representations Kammer, D. C.; Triller, M. J. Journal of Vibration and Acoustics, Vol. 118, Issue 2 https://doi.org/10.1115/1.2889657	journal	April 1996
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The Homogeneous Chaos Wiener, Norbert American Journal of Mathematics, Vol. 60, Issue 4 https://doi.org/10.2307/2371268	journal	October 1938
Large Sample Properties of Simulations Using Latin Hypercube Sampling Stein, Michael Technometrics, Vol. 29, Issue 2 https://doi.org/10.1080/00401706.1987.10488205	journal	May 1987
Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems Helton, J. C.; Davis, F. J. Reliability Engineering & System Safety, Vol. 81, Issue 1 https://doi.org/10.1016/S0951-8320(03)00058-9	journal	July 2003
Coupling of substructures for dynamic analyses. Craig, Roy R.; Bampton, Mervyn C. C. AIAA Journal, Vol. 6, Issue 7 https://doi.org/10.2514/3.4741	journal	July 1968
Determining Model Form Uncertainty of Reduced Order Models Bonney, Matthew S.; Kammer, Daniel C.; Brake, Matthew R. W. Model Validation and Uncertainty Quantification, Volume 3 https://doi.org/10.1007/978-3-319-29754-5_5	book	January 2016
The complex-step derivative approximation Martins, Joaquim R. R. A.; Sturdza, Peter; Alonso, Juan J. ACM Transactions on Mathematical Software, Vol. 29, Issue 3 https://doi.org/10.1145/838250.838251	journal	September 2003
Automatic Differentiation Through the Use of Hyper-Dual Numbers for Second Derivatives Fike, Jeffrey A.; Alonso, Juan J. Lecture Notes in Computational Science and Engineering https://doi.org/10.1007/978-3-642-30023-3_15	book	January 2012
Sensitivity Analysis in Structural Dynamics using the ZFEM Complex Variable Finite Element Method Garza, Jose E.; Millwater, Harry R. 54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference https://doi.org/10.2514/6.2013-1580	conference	April 2013
The Monte Carlo Method Metropolis, Nicholas; Ulam, S. Journal of the American Statistical Association, Vol. 44, Issue 247 https://doi.org/10.1080/01621459.1949.10483310	journal	September 1949

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