-
1
-
-
34547533200
-
A stochastic collocation method for elliptic partial differential equations with random input data
-
Babuska, I., Nobile, F., and Tempone, R., 2005. A stochastic collocation method for elliptic partial differential equations with random input data. Technical report, MOX, Dipartimento di Matematica.
-
(2005)
Technical report, MOX, Dipartimento di Matematica
-
-
Babuska, I.1
Nobile, F.2
Tempone, R.3
-
5
-
-
0031706511
-
Scales of fluctuation and the propagation of uncertainty in random porous media
-
Ghanem, R., 1998. Scales of fluctuation and the propagation of uncertainty in random porous media. Water Resour. Res., 34 (9): 2123-2136.
-
(1998)
Water Resour. Res
, vol.34
, Issue.9
, pp. 2123-2136
-
-
Ghanem, R.1
-
6
-
-
0032173318
-
Stochastic finite element analysis for multiphase flow in heterogeneous porous media
-
Ghanem, R. and Dham, S., 1998. Stochastic finite element analysis for multiphase flow in heterogeneous porous media. Transp. Porous Media, 32: 239.
-
(1998)
Transp. Porous Media
, vol.32
, pp. 239
-
-
Ghanem, R.1
Dham, S.2
-
8
-
-
0012095126
-
Ninth SPE comparative solution project: A reexamination of black-oil simulation
-
Killough, J. E., 1995. Ninth SPE comparative solution project: a reexamination of black-oil simulation. SPE 29110.
-
(1995)
SPE
, pp. 29110
-
-
Killough, J.E.1
-
9
-
-
35948933092
-
Probabilistic collocation method for flow in porous media: Comparisons with other stochastic methods
-
doi:l0.1029/2006WR005673
-
Li, H. and Zhang, D., 2007. Probabilistic collocation method for flow in porous media: comparisons with other stochastic methods. Water Resour. Res., 43: W09409, doi:l0.1029/2006WR005673.
-
(2007)
Water Resour. Res
, vol.43
-
-
Li, H.1
Zhang, D.2
-
10
-
-
41649100533
-
Stochastic simulations for flow in nonstationary randomly heterogeneous porous media using a KL-based moment-equation approach
-
Lu, Z. and Zhang, D., 2007. Stochastic simulations for flow in nonstationary randomly heterogeneous porous media using a KL-based moment-equation approach. SIAM Multiscale Modeling and Simulation, 6 (1): 228-245.
-
(2007)
SIAM Multiscale Modeling and Simulation
, vol.6
, Issue.1
, pp. 228-245
-
-
Lu, Z.1
Zhang, D.2
-
11
-
-
23944518704
-
Stochastic approaches to uncertainty quantification in CFD simulations
-
Mathelin, L., Hussaini, M. Y., and Zang, T. A., 2005. Stochastic approaches to uncertainty quantification in CFD simulations. Numerical Algorithms, 38: 209-236.
-
(2005)
Numerical Algorithms
, vol.38
, pp. 209-236
-
-
Mathelin, L.1
Hussaini, M.Y.2
Zang, T.A.3
-
12
-
-
0001187286
-
Stochastic approach to subsurface flow and transport: A view to the future
-
G. Dagan and S. P. Neuman eds, Cambridge Univ. Press, New York
-
Neuman, S. P., 1997. Stochastic approach to subsurface flow and transport: A view to the future. In G. Dagan and S. P. Neuman (eds.), Subsurface Flow and Transport: A Stochastic Approach. 231-241. Cambridge Univ. Press, New York.
-
(1997)
Subsurface Flow and Transport: A Stochastic Approach
, pp. 231-241
-
-
Neuman, S.P.1
-
13
-
-
52749083629
-
A sparse grid stochastic collocation method for elliptic partial differential equations with random input data
-
Nobile, F., Tempone, R., and Webster, C. G., 2008. A sparse grid stochastic collocation method for elliptic partial differential equations with random input data. SIAM J. Numer. Anal., 46 (5): 2309-2345.
-
(2008)
SIAM J. Numer. Anal
, vol.46
, Issue.5
, pp. 2309-2345
-
-
Nobile, F.1
Tempone, R.2
Webster, C.G.3
-
15
-
-
33645127653
-
Efficient closed loop production optimization under uncertainty
-
SPE-94241. In the, Madrid, Spain, June
-
Sarma, P., Durlofsky, L. J., and Aziz, K., 2005. Efficient closed loop production optimization under uncertainty, SPE-94241. In the SPE Europec/EAGE Annual Conference, Madrid, Spain, 13-16, June.
-
(2005)
SPE Europec/EAGE Annual Conference
, pp. 13-16
-
-
Sarma, P.1
Durlofsky, L.J.2
Aziz, K.3
-
16
-
-
34249060286
-
A new approach to automatic history matching using kernel PCA
-
SPE 106176, The Woodlands, Texas
-
Sanna, P., Durlofsky, L. J., Aziz, K., and Chen, W. H., 2007. A new approach to automatic history matching using kernel PCA, SPE 106176. In Reservoir Simualtion Symposium, The Woodlands, Texas.
-
(2007)
Reservoir Simualtion Symposium
-
-
Sanna, P.1
Durlofsky, L.J.2
Aziz, K.3
Chen, W.H.4
-
17
-
-
70450203120
-
-
Smolyak, 5., 1963. Quadrature and interpolation formulas for tensor products of certain classes of functions. Soviet Math., 4: 240-243.
-
Smolyak, 5., 1963. Quadrature and interpolation formulas for tensor products of certain classes of functions. Soviet Math., 4: 240-243.
-
-
-
-
18
-
-
0013442905
-
Remarks on the disposition of points in numerical integration formulas
-
Stroud, A. H., 1957. Remarks on the disposition of points in numerical integration formulas. Mathematical Tables and Other Aids to Computation, 11: 257-261.
-
(1957)
Mathematical Tables and Other Aids to Computation
, vol.11
, pp. 257-261
-
-
Stroud, A.H.1
-
19
-
-
0031392891
-
An efficient method for parametric uncertainty analysis of numerical geophysical models
-
Tatang, M. A., Pan, W., Prinn, R. G., and McRae, G. J., 1997. An efficient method for parametric uncertainty analysis of numerical geophysical models. J. Geophy. Res., 21925-21931.
-
(1997)
J. Geophy. Res
, pp. 21925-21931
-
-
Tatang, M.A.1
Pan, W.2
Prinn, R.G.3
McRae, G.J.4
-
20
-
-
46449084805
-
Explicit cost bounds of algorithms for multivariate tensor product problems
-
Wasilkowski, G. W. and Wozniakowski, H., 1995. Explicit cost bounds of algorithms for multivariate tensor product problems. Journal of Complexity, 11: 1-56.
-
(1995)
Journal of Complexity
, vol.11
, pp. 1-56
-
-
Wasilkowski, G.W.1
Wozniakowski, H.2
-
21
-
-
0000786435
-
The homogeneous chaos
-
Wiener, N., 1938. The homogeneous chaos. Amer. J. Math., 60: 897-936.
-
(1938)
Amer. J. Math
, vol.60
, pp. 897-936
-
-
Wiener, N.1
-
22
-
-
85140867914
-
-
Xiu, D. and Hesthaven, J. S., 2005. High-order collocation methods for differential equations with random inputs. SIAMI Sci. comput., 27:1118-1 139.
-
Xiu, D. and Hesthaven, J. S., 2005. High-order collocation methods for differential equations with random inputs. SIAMI Sci. comput., 27:1118-1 139.
-
-
-
-
23
-
-
0037184252
-
Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos
-
Xiu, D. and Karniadakis, G. E., 2002. Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos. Comput. Methods AppI. Mech. Eng., 191: 4927-4948.
-
(2002)
Comput. Methods AppI. Mech. Eng
, vol.191
, pp. 4927-4948
-
-
Xiu, D.1
Karniadakis, G.E.2
-
25
-
-
1442307688
-
An efficient, high-order perturbation approach for flow in random porous media via Karhunen-Loeve and polynomial expansions
-
Zhang, D. and Lu, Z., 2004. An efficient, high-order perturbation approach for flow in random porous media via Karhunen-Loeve and polynomial expansions. J. Comput. Phys., 194: 773-794.
-
(2004)
J. Comput. Phys
, vol.194
, pp. 773-794
-
-
Zhang, D.1
Lu, Z.2
-
26
-
-
0033278815
-
Stochastic analysis of immiscible two-phase flow in heterogeneous media
-
Zhang, D. and Tchelepi, H. A., 1999. Stochastic analysis of immiscible two-phase flow in heterogeneous media. SPE Journal, 4 (4): 380-388.
-
(1999)
SPE Journal
, vol.4
, Issue.4
, pp. 380-388
-
-
Zhang, D.1
Tchelepi, H.A.2
-
27
-
-
0034148776
-
Stochastic fonnulation for uncertainty analysis of two-phase flow in heterogeneous reservoirs
-
Zhang, D., Li, L., and Tchelepi, H. A., 2000. Stochastic fonnulation for uncertainty analysis of two-phase flow in heterogeneous reservoirs. SPE Journal, 5 (1): 60-70.
-
(2000)
SPE Journal
, vol.5
, Issue.1
, pp. 60-70
-
-
Zhang, D.1
Li, L.2
Tchelepi, H.A.3
|