-
1
-
-
0000786435
-
The homogeneous chaos
-
Wiener N. The homogeneous chaos. Am. J. Math. 60 (1938) 897-936
-
(1938)
Am. J. Math.
, vol.60
, pp. 897-936
-
-
Wiener, N.1
-
2
-
-
0000148817
-
The orthogonal development of nonlinear functionals in series of Fourier-Hermite functionals
-
Cameron R.H., and Martin W.T. The orthogonal development of nonlinear functionals in series of Fourier-Hermite functionals. Annal. Math. 48 (1947) 385-392
-
(1947)
Annal. Math.
, vol.48
, pp. 385-392
-
-
Cameron, R.H.1
Martin, W.T.2
-
4
-
-
0027836627
-
Stochastic Galerkin expansion for nonlinear random vibration analysis
-
Ghanem R., and Spanos P. Stochastic Galerkin expansion for nonlinear random vibration analysis. Probabilist. Engrg. Mech. 8 (1993) 255-264
-
(1993)
Probabilist. Engrg. Mech.
, vol.8
, pp. 255-264
-
-
Ghanem, R.1
Spanos, P.2
-
5
-
-
0030318028
-
Stochastic finite element analysis of randomly layered media
-
Ghanem R., and Brzkala V. Stochastic finite element analysis of randomly layered media. J. Engrg. Mech. 122 (1996) 361-369
-
(1996)
J. Engrg. Mech.
, vol.122
, pp. 361-369
-
-
Ghanem, R.1
Brzkala, V.2
-
6
-
-
0032496593
-
Probabilistic characterization of transport in heterogeneous media
-
Ghanem R. Probabilistic characterization of transport in heterogeneous media. Comput. Meth. Appl. Mech. Engrg. 158 (1998) 199-220
-
(1998)
Comput. Meth. Appl. Mech. Engrg.
, vol.158
, pp. 199-220
-
-
Ghanem, R.1
-
7
-
-
0035506770
-
A stochastic projection method for fluid flow; basic formulation
-
Maître O.L., Reagan M., Najm H., Ghanem R., and Knio O. A stochastic projection method for fluid flow; basic formulation. J. Comput. Phys. 173 (2001) 481-511
-
(2001)
J. Comput. Phys.
, vol.173
, pp. 481-511
-
-
Maître, O.L.1
Reagan, M.2
Najm, H.3
Ghanem, R.4
Knio, O.5
-
8
-
-
0037159819
-
Mid-frequency structural dynamics with parameter uncertainity
-
Sarkar A., and Ghanem R. Mid-frequency structural dynamics with parameter uncertainity. Comput. Meth. Appl. Mech. Engrg. 191 (2002) 5499-5513
-
(2002)
Comput. Meth. Appl. Mech. Engrg.
, vol.191
, pp. 5499-5513
-
-
Sarkar, A.1
Ghanem, R.2
-
9
-
-
0033334624
-
Stochastic finite element method for elasto-plastic body
-
Anders M., and Hori M. Stochastic finite element method for elasto-plastic body. Int. J. Numer. Methods Engrg. 46 (1999) 1897-1916
-
(1999)
Int. J. Numer. Methods Engrg.
, vol.46
, pp. 1897-1916
-
-
Anders, M.1
Hori, M.2
-
10
-
-
0037303227
-
A Green's function method to SH-wave motion in random continuum
-
Manolis G.D., and Karakostas C.Z. A Green's function method to SH-wave motion in random continuum. Engrg. Anal. Bound. Elem. 27 (2003) 93-100
-
(2003)
Engrg. Anal. Bound. Elem.
, vol.27
, pp. 93-100
-
-
Manolis, G.D.1
Karakostas, C.Z.2
-
11
-
-
0037249229
-
The Wiener-Askey polynomial chaos for stochastic differential equations
-
Xiu D., and Karniadakis G.E. The Wiener-Askey polynomial chaos for stochastic differential equations. SIAM J. Sci. Comput. 24 2 (2002) 619-644
-
(2002)
SIAM J. Sci. Comput.
, vol.24
, Issue.2
, pp. 619-644
-
-
Xiu, D.1
Karniadakis, G.E.2
-
12
-
-
0037408312
-
Modelling uncertainity in flow simulations via generalized polynomial chaos
-
Xiu D., and Karniadakis G.E. Modelling uncertainity in flow simulations via generalized polynomial chaos. J. Comput. Phys. 187 (2003) 137-167
-
(2003)
J. Comput. Phys.
, vol.187
, pp. 137-167
-
-
Xiu, D.1
Karniadakis, G.E.2
-
14
-
-
3242712896
-
Multi-resolution analysis of Wiener-type uncertainity propagation schemes
-
Maître O.P.L., Njam H.N., Ghanem R.G., and Knio O.M. Multi-resolution analysis of Wiener-type uncertainity propagation schemes. J. Comput. Phys. 197 (2004) 502-531
-
(2004)
J. Comput. Phys.
, vol.197
, pp. 502-531
-
-
Maître, O.P.L.1
Njam, H.N.2
Ghanem, R.G.3
Knio, O.M.4
-
15
-
-
13844319204
-
Galerkin finite element approximations of stochastic elliptic partial differential equations
-
Babuška I., Tempone R., and Zouraris E. Galerkin finite element approximations of stochastic elliptic partial differential equations. SIAM J. Numer. Anal. 42 (2004) 800-825
-
(2004)
SIAM J. Numer. Anal.
, vol.42
, pp. 800-825
-
-
Babuška, I.1
Tempone, R.2
Zouraris, E.3
-
16
-
-
85067316737
-
-
P.B. Nair, On the theoretical foundations of stochastic reduced basis methods, in: Proceedings of 42nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, AIAA Paper No. 2001-1677, Seattle WA, 2001.
-
P.B. Nair, On the theoretical foundations of stochastic reduced basis methods, in: Proceedings of 42nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, AIAA Paper No. 2001-1677, Seattle WA, 2001.
-
-
-
-
17
-
-
0036684042
-
Stochastic reduced basis methods
-
Nair P.B., and Keane A.J. Stochastic reduced basis methods. AIAA J. 40 (2002) 1653-1664
-
(2002)
AIAA J.
, vol.40
, pp. 1653-1664
-
-
Nair, P.B.1
Keane, A.J.2
-
18
-
-
33644608285
-
Comparative study of projection schemes for stochastic finite element analysis
-
Sachdeva S.K., Nair P.B., and Keane A.J. Comparative study of projection schemes for stochastic finite element analysis. Comput. Methods Appl. Mech. Engrg. 195 (2006) 2371-2392
-
(2006)
Comput. Methods Appl. Mech. Engrg.
, vol.195
, pp. 2371-2392
-
-
Sachdeva, S.K.1
Nair, P.B.2
Keane, A.J.3
-
19
-
-
33644888792
-
Hybridization of stochastic reduced basis methods with polynomial chaos expansions
-
Sachdeva S.K., Nair P.B., and Keane A.J. Hybridization of stochastic reduced basis methods with polynomial chaos expansions. Probabilist. Engrg. Mech. 21 (2006) 182-192
-
(2006)
Probabilist. Engrg. Mech.
, vol.21
, pp. 182-192
-
-
Sachdeva, S.K.1
Nair, P.B.2
Keane, A.J.3
-
20
-
-
84986296677
-
A two-scale non-perturbative approach to uncertainity analysis of diffusion in random composites
-
Xiu D., and Tartakovsky D.M. A two-scale non-perturbative approach to uncertainity analysis of diffusion in random composites. SIAM J. Multiscale Modell. Simulat. 2 4 (2004) 662-674
-
(2004)
SIAM J. Multiscale Modell. Simulat.
, vol.2
, Issue.4
, pp. 662-674
-
-
Xiu, D.1
Tartakovsky, D.M.2
-
21
-
-
21444449245
-
An adaptive multi-element generalized polynomial chaos method for stochastic differential equations
-
Wan X., and Karniadakis G.E. An adaptive multi-element generalized polynomial chaos method for stochastic differential equations. J. Comput. Phys. 209 (2005) 617-642
-
(2005)
J. Comput. Phys.
, vol.209
, pp. 617-642
-
-
Wan, X.1
Karniadakis, G.E.2
-
22
-
-
33749326978
-
Multi-element generalized polynomial chaos for arbitrary probability measures
-
Wan X., and Karniadakis G.E. Multi-element generalized polynomial chaos for arbitrary probability measures. SIAM J. Sci. Comput. 28 3 (2006) 901-928
-
(2006)
SIAM J. Sci. Comput.
, vol.28
, Issue.3
, pp. 901-928
-
-
Wan, X.1
Karniadakis, G.E.2
-
23
-
-
39149094987
-
Multi-resolution analysis for uncertainty quantification in chemical systems
-
Maître O.L., Najm H., Pébay P., Ghanem R., and Knio O. Multi-resolution analysis for uncertainty quantification in chemical systems. SIAM J. Sci. Comput. 29 2 (2007) 864-889
-
(2007)
SIAM J. Sci. Comput.
, vol.29
, Issue.2
, pp. 864-889
-
-
Maître, O.L.1
Najm, H.2
Pébay, P.3
Ghanem, R.4
Knio, O.5
-
24
-
-
39149109984
-
Projection schemes in stochastic finite element analysis
-
Nikolaidis E., Ghiocel D.M., and Singhal S. (Eds), CRC Press (Chapter 21).
-
Nair P.B. Projection schemes in stochastic finite element analysis. In: Nikolaidis E., Ghiocel D.M., and Singhal S. (Eds). Engineering Design and Reliability: Handbook (2005), CRC Press (Chapter 21).
-
(2005)
Engineering Design and Reliability: Handbook
-
-
Nair, P.B.1
-
25
-
-
0037184252
-
Modelling uncertainty in steady state diffusion problems via generalized polynomial chaos
-
Xiu D., and Karniadakis G.E. Modelling uncertainty in steady state diffusion problems via generalized polynomial chaos. Comput. Methods Appl. Mech. Engrg. 191 (2002) 4927-4948
-
(2002)
Comput. Methods Appl. Mech. Engrg.
, vol.191
, pp. 4927-4948
-
-
Xiu, D.1
Karniadakis, G.E.2
-
26
-
-
39149138164
-
-
A. Keese, Numerical solution of systems with stochastic uncertainties - a general purpose framework for stochastic finite elements, Ph.D. thesis, Technische Universitat Braunschweig, Brunswick, 2004.
-
A. Keese, Numerical solution of systems with stochastic uncertainties - a general purpose framework for stochastic finite elements, Ph.D. thesis, Technische Universitat Braunschweig, Brunswick, 2004.
-
-
-
-
27
-
-
39149112550
-
-
D. Darmofal, Steady and transient heat transfer simulation of a turbine blade, Tech. rep., MIT. , 2005.
-
D. Darmofal, Steady and transient heat transfer simulation of a turbine blade, Tech. rep., MIT. , 2005.
-
-
-
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