-
1
-
-
0000807470
-
On sensitivity estimation for nonlinear mathematical models
-
Sobol I.M. On sensitivity estimation for nonlinear mathematical models. Math Model 1990, 2(1):112-118.
-
(1990)
Math Model
, vol.2
, Issue.1
, pp. 112-118
-
-
Sobol, I.M.1
-
3
-
-
39849107510
-
Global sensitivity analysis using polynomial chaos expansions
-
Sudret B. Global sensitivity analysis using polynomial chaos expansions. Reliab Eng Syst Safe 2008, 93(7):964-979.
-
(2008)
Reliab Eng Syst Safe
, vol.93
, Issue.7
, pp. 964-979
-
-
Sudret, B.1
-
4
-
-
0022187246
-
-
Modelling strategies. In: Anderson MG, Burt TP, editors. Hydrological forecasting. John Wiley and Sons: New York;
-
Anderson M, Burt TP. Modelling strategies. In: Anderson MG, Burt TP, editors. Hydrological forecasting. John Wiley and Sons: New York; 1985. p. 1-13.
-
(1985)
, pp. 1-13
-
-
Anderson, M.1
Burt, T.P.2
-
5
-
-
33746325151
-
Multivariate sensitivity analysis of saturated flow through simulated highly heterogeneous groundwater aquifers
-
Winter C.L., Guadagnini A., Nychka D., Tartakovsky D.M. Multivariate sensitivity analysis of saturated flow through simulated highly heterogeneous groundwater aquifers. J Comput Phys 2006, 217(1):166-175.
-
(2006)
J Comput Phys
, vol.217
, Issue.1
, pp. 166-175
-
-
Winter, C.L.1
Guadagnini, A.2
Nychka, D.3
Tartakovsky, D.M.4
-
6
-
-
39749127743
-
A risk-driven approach for subsurface site characterization
-
De Barros F.P.J., Rubin Y. A risk-driven approach for subsurface site characterization. Water Resour Res 2008, 44(1):W01414.
-
(2008)
Water Resour Res
, vol.44
, Issue.1
-
-
De Barros, F.P.J.1
Rubin, Y.2
-
7
-
-
72149128159
-
The concept of comparative information yield curves and its application to risk-based site characterization
-
De Barros F.P.J., Rubin Y., Maxwell R. The concept of comparative information yield curves and its application to risk-based site characterization. Water Resour Res 2009, 45(6):W06401.
-
(2009)
Water Resour Res
, vol.45
, Issue.6
-
-
De Barros, F.P.J.1
Rubin, Y.2
Maxwell, R.3
-
11
-
-
0000786435
-
The homogeneous chaos
-
Wiener N. The homogeneous chaos. Am J Math 1938, 60:897-936.
-
(1938)
Am J Math
, vol.60
, pp. 897-936
-
-
Wiener, N.1
-
13
-
-
75949090080
-
An effective algorithm for computing global sensitivity indices (easi)
-
Plischke E. An effective algorithm for computing global sensitivity indices (easi). Reliab Eng Syst Safe 2010, 95(4):354-360.
-
(2010)
Reliab Eng Syst Safe
, vol.95
, Issue.4
, pp. 354-360
-
-
Plischke, E.1
-
14
-
-
1442307688
-
An efficient, high-order perturbation approach for flow in random media via Karhunen-Loeve and polynomial expansions
-
Zhang D., Lu Z. An efficient, high-order perturbation approach for flow in random media via Karhunen-Loeve and polynomial expansions. J Comput Phys 2004, 194:773-794.
-
(2004)
J Comput Phys
, vol.194
, pp. 773-794
-
-
Zhang, D.1
Lu, Z.2
-
15
-
-
72449136652
-
Multi-element probabilistic collocation method in high dimensions
-
Foo J., Karniadakis G. Multi-element probabilistic collocation method in high dimensions. J Comput Phys 2010, 229(5):1536-1557.
-
(2010)
J Comput Phys
, vol.229
, Issue.5
, pp. 1536-1557
-
-
Foo, J.1
Karniadakis, G.2
-
16
-
-
79951778390
-
Use of global sensitivity analysis and polynomial chaos expansion for interpretation of non-reactive transport experiments in laboratory-scale porous media
-
Water Resour Res. doi:10.1029/2010WR009639. doi:10.1029/2010WR009639
-
Fajraoui N, Ramasomanana F, Younes A, Mara TA, Ackerer P, Guadagnini A. Use of global sensitivity analysis and polynomial chaos expansion for interpretation of non-reactive transport experiments in laboratory-scale porous media. Water Resour Res. doi:10.1029/2010WR009639. doi:10.1029/2010WR009639.
-
-
-
Fajraoui, N.1
Ramasomanana, F.2
Younes, A.3
Mara, T.A.4
Ackerer, P.5
Guadagnini, A.6
-
17
-
-
0025398776
-
Polynomial chaos in stochastic finite elements
-
Ghanem R., Spanos P.D. Polynomial chaos in stochastic finite elements. J Appl Mech 1990, 57:197-202.
-
(1990)
J Appl Mech
, vol.57
, pp. 197-202
-
-
Ghanem, R.1
Spanos, P.D.2
-
20
-
-
0027836627
-
A stochastic galerkin expansion for nonlinear random vibration analysis
-
Ghanem R., Spanos P. A stochastic galerkin expansion for nonlinear random vibration analysis. Prob Eng Mech 1993, 8:255-264.
-
(1993)
Prob Eng Mech
, vol.8
, pp. 255-264
-
-
Ghanem, R.1
Spanos, P.2
-
21
-
-
13844308726
-
Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations
-
Matthies G., Keese H.A. Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations. Comput Methods Appl Mech Eng 2005, 194:1295-1331.
-
(2005)
Comput Methods Appl Mech Eng
, vol.194
, pp. 1295-1331
-
-
Matthies, G.1
Keese, H.A.2
-
22
-
-
0037408312
-
Modeling uncertainty in flow simulations via generalized polynomial chaos
-
Xiu D., Karniadakis G.E. Modeling uncertainty in flow simulations via generalized polynomial chaos. J Comput Phys 2003, 187:137-167.
-
(2003)
J Comput Phys
, vol.187
, pp. 137-167
-
-
Xiu, D.1
Karniadakis, G.E.2
-
23
-
-
33746437959
-
Sparse quadrature as an alternative to mc for stochastic finite element techniques
-
Keese A., Matthies H.G. Sparse quadrature as an alternative to mc for stochastic finite element techniques. Proc Appl Math Mech 2003, 3:493-494.
-
(2003)
Proc Appl Math Mech
, vol.3
, pp. 493-494
-
-
Keese, A.1
Matthies, H.G.2
-
24
-
-
0032102038
-
Stochastic response surface methods (srsms) for uncertainty propagation: application to environmental and biological systems
-
Isukapalli S., Roy S.A., Georgopoulos P.G. Stochastic response surface methods (srsms) for uncertainty propagation: application to environmental and biological systems. Risk Anal 1998, 18(3):351-363.
-
(1998)
Risk Anal
, vol.18
, Issue.3
, pp. 351-363
-
-
Isukapalli, S.1
Roy, S.A.2
Georgopoulos, P.G.3
-
25
-
-
35948933092
-
Probabilistic collocation method for flow in porous media: comparisons with other stochastic methods
-
Li H., Zhang D. Probabilistic collocation method for flow in porous media: comparisons with other stochastic methods. Water Resour Res 2007, 43:44-48.
-
(2007)
Water Resour Res
, vol.43
, pp. 44-48
-
-
Li, H.1
Zhang, D.2
-
26
-
-
84896692798
-
Stochastic Galerkin and collocation methods for quantifying uncertainty in differential equations: a review
-
Jakeman J.D., Roberts J.G. Stochastic Galerkin and collocation methods for quantifying uncertainty in differential equations: a review. Aust NZ Indus Appl Math J 2008, 50:815-830.
-
(2008)
Aust NZ Indus Appl Math J
, vol.50
, pp. 815-830
-
-
Jakeman, J.D.1
Roberts, J.G.2
-
27
-
-
33749326978
-
Multi-element generalized polynomial chaos for arbitrary probability measures
-
Wan X., Karniadakis G.E. Multi-element generalized polynomial chaos for arbitrary probability measures. SIAM J Sci Comput 2006, 28(3):901-928.
-
(2006)
SIAM J Sci Comput
, vol.28
, Issue.3
, pp. 901-928
-
-
Wan, X.1
Karniadakis, G.E.2
-
28
-
-
0001308382
-
Some basic hypergeometric polynomials that generalize Jacobi polynomials
-
AMS, Providence
-
Askey R., Wilson J. Some basic hypergeometric polynomials that generalize Jacobi polynomials. Memoirs of the American Mathematical Society 1985, AMS, Providence.
-
(1985)
Memoirs of the American Mathematical Society
-
-
Askey, R.1
Wilson, J.2
-
29
-
-
80053438826
-
A concept for data-driven uncertainty quantification and its application to carbon dioxide storage in geological formations
-
Oladyshkin S., Class H., Helmig R., Nowak W. A concept for data-driven uncertainty quantification and its application to carbon dioxide storage in geological formations. Adv Water Resour 2011, 34:1508-1518. 10.1016/j.advwatres.2011.08.005.
-
(2011)
Adv Water Resour
, vol.34
, pp. 1508-1518
-
-
Oladyshkin, S.1
Class, H.2
Helmig, R.3
Nowak, W.4
-
30
-
-
84856229221
-
Data-driven polynomial response surfaces as efficient tool for applied tasks under uncertainty
-
In: SAMSI geosciences applications opening workshop, Research Triangle Park, NC, USA
-
Oladyhskin S, Class H, Helmig R, Nowak W, de Barros FPJ, Ashraf M. Data-driven polynomial response surfaces as efficient tool for applied tasks under uncertainty. In: SAMSI geosciences applications opening workshop, Research Triangle Park, NC, USA, 2011.
-
(2011)
-
-
Oladyhskin, S.1
Class, H.2
Helmig, R.3
Nowak, W.4
De Barros, F.P.J.5
Ashraf, M.6
-
31
-
-
16244409214
-
Physical systems with random uncertainties: chaos representations with arbitrary probability measure
-
Soize C., Ghanem R. Physical systems with random uncertainties: chaos representations with arbitrary probability measure. SIAM J Sci Comput 2004, 26(2):395-410.
-
(2004)
SIAM J Sci Comput
, vol.26
, Issue.2
, pp. 395-410
-
-
Soize, C.1
Ghanem, R.2
-
32
-
-
33746495084
-
On the construction and analysis of stochastic models: characterization and propagation of the errors associated with limited data
-
Ghanem R., Doostan A. On the construction and analysis of stochastic models: characterization and propagation of the errors associated with limited data. J Comput Phys 2006, 217:63-81.
-
(2006)
J Comput Phys
, vol.217
, pp. 63-81
-
-
Ghanem, R.1
Doostan, A.2
-
33
-
-
34250779429
-
-
Modeling arbitrary uncertainties using Gram-Schmidt polynomial chaos. In: 44th AIAA aerospace sciences meeting and exhibit Reno, Nevada, AIAA-2006-896.
-
Witteveen JAS, Bijl H. Modeling arbitrary uncertainties using Gram-Schmidt polynomial chaos. In: 44th AIAA aerospace sciences meeting and exhibit Reno, Nevada, 2006, AIAA-2006-896.
-
(2006)
-
-
Witteveen, J.A.S.1
Bijl, H.2
-
34
-
-
84952096573
-
Morris factorial sampling plans for preliminary computational experiments
-
Morris M.D. Morris factorial sampling plans for preliminary computational experiments. Technometrics 1991, (33):161-174.
-
(1991)
Technometrics
, Issue.33
, pp. 161-174
-
-
Morris, M.D.1
-
35
-
-
0004245694
-
-
Dover, New York
-
Abramowitz M., Stegun I.A. Handbook of mathematical functions with formulas, graphs, and mathematical tables 1965, Dover, New York.
-
(1965)
Handbook of mathematical functions with formulas, graphs, and mathematical tables
-
-
Abramowitz, M.1
Stegun, I.A.2
-
36
-
-
34548142151
-
Testing alternative ground water models using cross validation and other methods
-
Foglia L., Mehl W., Hill S.C., Perona M.P., Burlando P. Testing alternative ground water models using cross validation and other methods. Ground Wate 2007, 45(5):627-641.
-
(2007)
Ground Wate
, vol.45
, Issue.5
, pp. 627-641
-
-
Foglia, L.1
Mehl, W.2
Hill, S.C.3
Perona, M.P.4
Burlando, P.5
-
37
-
-
67649867437
-
Best unbiased ensemble linearization and the quasi-linear Kalman ensemble generator
-
doi:10.1029/2008WR007328. doi:10.1029/2008WR007328
-
Nowak W. Best unbiased ensemble linearization and the quasi-linear Kalman ensemble generator, Water Resour Res 45 (W04431). doi:10.1029/2008WR007328. doi:10.1029/2008WR007328.
-
Water Resour Res
, vol.45
-
-
Nowak, W.1
-
38
-
-
0028121233
-
Reliability analysis of contaminant transport in saturated porous media
-
Jang S., Sitar Y.N., Kiureghian A.D. Reliability analysis of contaminant transport in saturated porous media. Water Resour Res 1994, 30(8):2435-2448.
-
(1994)
Water Resour Res
, vol.30
, Issue.8
, pp. 2435-2448
-
-
Jang, S.1
Sitar, Y.N.2
Kiureghian, A.D.3
-
39
-
-
46849085381
-
Bayesian calibration of computationally expensive models using optimization and radial basis function approximation
-
Bliznyuk N., Ruppert N., Shoemaker A., Regis C.G., Wild R.M., et al. Bayesian calibration of computationally expensive models using optimization and radial basis function approximation. J Comput Graph Stat 2008, 17(2):1-25. 10.1198/106186008X320681.
-
(2008)
J Comput Graph Stat
, vol.17
, Issue.2
, pp. 1-25
-
-
Bliznyuk, N.1
Ruppert, N.2
Shoemaker, A.3
Regis, C.G.4
Wild, R.M.5
-
40
-
-
0040594134
-
Quelques recherches sur la théorie des quadratures dites méchaniques
-
Stieltjes T.J. Quelques recherches sur la théorie des quadratures dites méchaniques. Oeuvres 1884, I:377-396.
-
(1884)
Oeuvres
, vol.1
, pp. 377-396
-
-
Stieltjes, T.J.1
-
43
-
-
0004229088
-
-
MIT Press, Cambridge, MA
-
Siebert W.M. Circuits, signals, and systems 1986, MIT Press, Cambridge, MA, p. 410-1.
-
(1986)
Circuits, signals, and systems
, pp. 410-411
-
-
Siebert, W.M.1
-
44
-
-
0030121081
-
Importance measures in global sensitivity analysis of nonlinear models
-
Homma T., Saltelli A. Importance measures in global sensitivity analysis of nonlinear models. Reliab Eng Syst Safe 1996, 52(1):1-17.
-
(1996)
Reliab Eng Syst Safe
, vol.52
, Issue.1
, pp. 1-17
-
-
Homma, T.1
Saltelli, A.2
-
45
-
-
0023249063
-
Theory of solute transport by groundwater
-
Dagan G. Theory of solute transport by groundwater. Ann Rev Fluid Mech 1987, 19:183-215.
-
(1987)
Ann Rev Fluid Mech
, vol.19
, pp. 183-215
-
-
Dagan, G.1
-
46
-
-
0001842155
-
Modeling of transport in groundwater for environmental risk assessment
-
Rubin Y., Cushey M.A., Bellin A. Modeling of transport in groundwater for environmental risk assessment. Stoch Hydrol Hydraul 1994, 8(1):57-77.
-
(1994)
Stoch Hydrol Hydraul
, vol.8
, Issue.1
, pp. 57-77
-
-
Rubin, Y.1
Cushey, M.A.2
Bellin, A.3
-
47
-
-
0024233776
-
Time-dependent macrodispersion for solute transport in anisotropic heterogeneous aquifers
-
Dagan G. Time-dependent macrodispersion for solute transport in anisotropic heterogeneous aquifers. Water Resour Res 1988, 24(9):1491-1500.
-
(1988)
Water Resour Res
, vol.24
, Issue.9
, pp. 1491-1500
-
-
Dagan, G.1
-
48
-
-
0027035745
-
Simulation of dispersion in heterogeneous porous formations: statistics, first-order theories, convergence of computations
-
Bellin A., Salandin P., Rinaldo A. Simulation of dispersion in heterogeneous porous formations: statistics, first-order theories, convergence of computations. Water Resour Res 1992, 28(9):2211-2227.
-
(1992)
Water Resour Res
, vol.28
, Issue.9
, pp. 2211-2227
-
-
Bellin, A.1
Salandin, P.2
Rinaldo, A.3
-
49
-
-
0022697970
-
Parameter uncertainty in estimation of spatial functions: Bayesian analysis
-
Kitanidis P. Parameter uncertainty in estimation of spatial functions: Bayesian analysis. Water Resour Res 1986, 22(4):499-507.
-
(1986)
Water Resour Res
, vol.22
, Issue.4
, pp. 499-507
-
-
Kitanidis, P.1
-
50
-
-
0026444879
-
Conditional estimates of solute travel time in heterogenous formations: impact of transmissivity measurements
-
Rubin Y., Dagan G. Conditional estimates of solute travel time in heterogenous formations: impact of transmissivity measurements. Water Resour Res 1992, 28(4):1033-1040.
-
(1992)
Water Resour Res
, vol.28
, Issue.4
, pp. 1033-1040
-
-
Rubin, Y.1
Dagan, G.2
-
51
-
-
67650569239
-
Impact of log-transmissivity variogram structure on groundwater flow and transport predictions
-
Riva M., Willmann M. Impact of log-transmissivity variogram structure on groundwater flow and transport predictions. Adv Water Resour 2009, 32(8):1311-1322.
-
(2009)
Adv Water Resour
, vol.32
, Issue.8
, pp. 1311-1322
-
-
Riva, M.1
Willmann, M.2
-
52
-
-
83955160616
-
Bayesian geostatistical design: task-driven optimal site investigation when the geostatistical model is uncertain
-
Nowak W., De Barros F.P.J., Rubin Y. Bayesian geostatistical design: task-driven optimal site investigation when the geostatistical model is uncertain. Water Resour Res 2010, 46(3):W03535.
-
(2010)
Water Resour Res
, vol.46
, Issue.3
-
-
Nowak, W.1
De Barros, F.P.J.2
Rubin, Y.3
-
53
-
-
84856228369
-
-
USEPA. Risk assessment guidance for superfund. volume i: Part a, human health manual. Tech. Rep. Rep. EPA/540/1-89/002.
-
USEPA. Risk assessment guidance for superfund. volume i: Part a, human health manual. Tech. Rep. Rep. EPA/540/1-89/002.
-
-
-
-
54
-
-
84856229222
-
-
USEPA. Risk assessment guidance for superfund. volume iii: part a, process for conducting probabilistic risk assessment. Tech. Rep. Rep. EPA 540/R-02/002.
-
USEPA. Risk assessment guidance for superfund. volume iii: part a, process for conducting probabilistic risk assessment. Tech. Rep. Rep. EPA 540/R-02/002.
-
-
-
-
55
-
-
84855235453
-
Impact of hydrogeological data on measures of uncertainty, site characterization and environmental performance metrics
-
doi:10.1016/j.advwatres.2011.05.004. doi:10.1016/j.advwatres.2011.05.004
-
de Barros FPJ, Ezzedine S, Rubin Y. Impact of hydrogeological data on measures of uncertainty, site characterization and environmental performance metrics, Adv Water Resour. doi:10.1016/j.advwatres.2011.05.004. doi:10.1016/j.advwatres.2011.05.004.
-
Adv Water Resour
-
-
De Barros, F.P.J.1
Ezzedine, S.2
Rubin, Y.3
-
56
-
-
0033453944
-
Stochastic environmental risk analysis: an integrated methodology for predicting cancer risk from contaminated groundwater
-
Maxwell R.M., Kastenberg W.E. Stochastic environmental risk analysis: an integrated methodology for predicting cancer risk from contaminated groundwater. Stoch Environ Res Risk Assess 1999, 13(1-2):27-47.
-
(1999)
Stoch Environ Res Risk Assess
, vol.13
, Issue.1-2
, pp. 27-47
-
-
Maxwell, R.M.1
Kastenberg, W.E.2
-
57
-
-
84855224926
-
A quantitative methodology to assess the risks to human health from CO2 leakage into groundwater
-
doi:10.1016/j.advwatres.2010.11.005
-
Siirila ER, Navarre-Sitchler AK, Maxwell RM, McCray JE. A quantitative methodology to assess the risks to human health from CO2 leakage into groundwater. Adv Water Resour. doi:10.1016/j.advwatres.2010.11.005.
-
Adv Water Resour.
-
-
Siirila, E.R.1
Navarre-Sitchler, A.K.2
Maxwell, R.M.3
McCray, J.E.4
-
58
-
-
33947535723
-
Probabilistic risk and uncertainty analysis for bioremediation of four chlorinated ethenes in groundwater
-
Benekos I., Shoemaker C., Stedinger J. Probabilistic risk and uncertainty analysis for bioremediation of four chlorinated ethenes in groundwater. Stoch Environ Res Risk Assess 2007, 21(4):375-390.
-
(2007)
Stoch Environ Res Risk Assess
, vol.21
, Issue.4
, pp. 375-390
-
-
Benekos, I.1
Shoemaker, C.2
Stedinger, J.3
|