TY - CHAP AU - Tarantola, A. PY - 2004 DA - 2004// BT - Inverse problem theory and methods for model parameter estimation. SIAM, Philadelphia ID - Tarantola2004 ER - TY - BOOK AU - Sivia, D. S. AU - Skilling, J. PY - 2006 DA - 2006// TI - Data analysis: a Bayesian tutorial, Second edition PB - Oxford University Press Inc. CY - New York ID - Sivia2006 ER - TY - JOUR AU - Jackson, C. AU - Sen, M. K. AU - Stoffa, P. L. PY - 2004 DA - 2004// TI - An efficient stochastic Bayesian approach to optimal parameter and uncertainty estimation for climate model predictions JO - J Climate VL - 17 UR - https://doi.org/2.0.CO;2 DO - 2.0.CO;2 ID - Jackson2004 ER - TY - JOUR AU - Snodgrass, M. F. AU - Kitanidis, P. K. PY - 1997 DA - 1997// TI - A geostatistical approach to contaminant source identification JO - Water Resour Res VL - 34 UR - https://doi.org/10.1029/96WR03753 DO - 10.1029/96WR03753 ID - Snodgrass1997 ER - TY - JOUR AU - Woodbury, A. D. AU - Ulrych, T. J. PY - 2000 DA - 2000// TI - A full-Bayesian approach to the groundwater inverse problem for steady state flow JO - Water Resour Res VL - 36 UR - https://doi.org/10.1029/1999WR900273 DO - 10.1029/1999WR900273 ID - Woodbury2000 ER - TY - JOUR AU - Marzouk, Y. M. AU - Najm, H. N. AU - Rahn, L. A. PY - 2007 DA - 2007// TI - Stochastic spectral methods for efficient Bayesian solution of inverse problems JO - J Comput Phys VL - 224 UR - https://doi.org/10.1016/j.jcp.2006.10.010 DO - 10.1016/j.jcp.2006.10.010 ID - Marzouk2007 ER - TY - JOUR AU - Wang, J. AU - Zabaras, N. PY - 2005 DA - 2005// TI - Hierarchical Bayesian models for inverse problems in heat conduction JO - Inverse Probl VL - 21 UR - https://doi.org/10.1088/0266-5611/21/1/012 DO - 10.1088/0266-5611/21/1/012 ID - Wang2005 ER - TY - JOUR AU - Metropolis, N. AU - Ulam, S. PY - 1949 DA - 1949// TI - The Monte Carlo method JO - J Am Stat Assoc VL - 44 UR - https://doi.org/10.1080/01621459.1949.10483310 DO - 10.1080/01621459.1949.10483310 ID - Metropolis1949 ER - TY - JOUR AU - Metropolis, N. AU - Rosenbluth, A. W. AU - Rosenbluth, M. N. AU - Teller, A. H. AU - Teller, E. PY - 1953 DA - 1953// TI - Equations of state calculations by fast computing machines JO - J Chem Phys VL - 21 UR - https://doi.org/10.1063/1.1699114 DO - 10.1063/1.1699114 ID - Metropolis1953 ER - TY - JOUR AU - Hastings, W. K. PY - 1970 DA - 1970// TI - Monte Carlo sampling methods using Markov chains and their applications JO - Biometrika VL - 57 UR - https://doi.org/10.1093/biomet/57.1.97 DO - 10.1093/biomet/57.1.97 ID - Hastings1970 ER - TY - BOOK AU - Gelman, A. AU - Carlin, J. AU - Stern, H. AU - Rubin, D. PY - 2003 DA - 2003// TI - Bayesian data analysis PB - Second Edition CY - Hall/CRC Texts in Statistical Science ID - Gelman2003 ER - TY - BOOK AU - Zienkiewicz, O. C. AU - Morgan, K. PY - 1983 DA - 1983// TI - Finite elements and approximation PB - Wiley CY - New York ID - Zienkiewicz1983 ER - TY - BOOK AU - Antoulas, A. C. PY - 2005 DA - 2005// TI - Approximation of large-scale dynamical systems PB - SIAM Advances in Design and Control CY - Philadelphia UR - https://doi.org/10.1137/1.9780898718713 DO - 10.1137/1.9780898718713 ID - Antoulas2005 ER - TY - JOUR AU - Lieberman, C. AU - Willcox, K. AU - Ghattas, O. PY - 2010 DA - 2010// TI - Parameter and state model reduction for large-scale statistical inverse problems JO - SIAM J Sci Comput VL - 32 UR - https://doi.org/10.1137/090775622 DO - 10.1137/090775622 ID - Lieberman2010 ER - TY - JOUR AU - Lieberman, C. AU - Willcox, K. PY - 2012 DA - 2012// TI - Goal-oriented inference: approach, linear theory, and application to advection-diffusion JO - SIAM J Sci Comput VL - 34 UR - https://doi.org/10.1137/110857763 DO - 10.1137/110857763 ID - Lieberman2012 ER - TY - JOUR AU - Sirovich, L. PY - 1987 DA - 1987// TI - Turbulence and the dynamics of coherent structures. Part 1: coherent structures JO - Q Appl Math VL - 45 ID - Sirovich1987 ER - TY - JOUR AU - Codina, R. AU - Blasco, J. PY - 2000 DA - 2000// TI - Stabilized finite element method for the transient Navier-Stokes equations based on a pressure gradient projection JO - Comput Methods Appl Mech Engrg VL - 182 UR - https://doi.org/10.1016/S0045-7825(99)00194-2 DO - 10.1016/S0045-7825(99)00194-2 ID - Codina2000 ER - TY - JOUR AU - Ma, X. AU - Zabaras, N. PY - 2008 DA - 2008// TI - A stabilized stochastic finite element second-order projection method for modeling natural convection in random porous media JO - J Comput Phys VL - 227 UR - https://doi.org/10.1016/j.jcp.2008.06.008 DO - 10.1016/j.jcp.2008.06.008 ID - Ma2008 ER - TY - JOUR AU - Jaynes, E. T. PY - 1957 DA - 1957// TI - Information theory and statistical mechanics JO - Phys Rev VL - 104 UR - https://doi.org/10.1103/PhysRev.106.620 DO - 10.1103/PhysRev.106.620 ID - Jaynes1957 ER - TY - BOOK AU - Wilcox, C. D. PY - 1993 DA - 1993// TI - Turbulence Modeling for CFD, DCW Industries, La CaƱada, California ID - Wilcox1993 ER - TY - JOUR AU - Crank, J. AU - Nicolson, P. PY - 1996 DA - 1996// TI - A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type JO - Adv Comput Math VL - 6 UR - https://doi.org/10.1007/BF02127704 DO - 10.1007/BF02127704 ID - Crank1996 ER -