-
2
-
-
0033329066
-
Propagation of uncertainty in complex physical systems using a stochastic finite elements approach
-
Ghanem R.G., and Red-Horse J. Propagation of uncertainty in complex physical systems using a stochastic finite elements approach. Physica D 133 (1999) 137-144
-
(1999)
Physica D
, vol.133
, pp. 137-144
-
-
Ghanem, R.G.1
Red-Horse, J.2
-
3
-
-
0037184252
-
Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos
-
Xiu D., and Karniadakis G.E. Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos. Comput. Methods Appl. Math. Engrg. 191 (2002) 4927-4948
-
(2002)
Comput. Methods Appl. Math. Engrg.
, vol.191
, pp. 4927-4948
-
-
Xiu, D.1
Karniadakis, G.E.2
-
4
-
-
2542483990
-
Noisy inflows cause a shedding-mode switching in flow past an oscillating cylinder
-
Lucor D., and Karniadakis G.E. Noisy inflows cause a shedding-mode switching in flow past an oscillating cylinder. Phys. Rev. Lett. 92 15 (2004) 154101
-
(2004)
Phys. Rev. Lett.
, vol.92
, Issue.15
, pp. 154101
-
-
Lucor, D.1
Karniadakis, G.E.2
-
7
-
-
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
-
8
-
-
0033528038
-
Ingredients for a general purpose stochastic finite element formulation
-
Ghanem R.G. Ingredients for a general purpose stochastic finite element formulation. Comput. Methods Appl. Mech. Engrg. 168 (1999) 19-34
-
(1999)
Comput. Methods Appl. Mech. Engrg.
, vol.168
, pp. 19-34
-
-
Ghanem, R.G.1
-
9
-
-
0033008165
-
Stochastic finite elements for heterogeneous media with multiple random non-Gaussian properties
-
Ghanem R.G. Stochastic finite elements for heterogeneous media with multiple random non-Gaussian properties. ASCE J. Engrg. Mech. 125 1 (1999) 26-40
-
(1999)
ASCE J. Engrg. Mech.
, vol.125
, Issue.1
, pp. 26-40
-
-
Ghanem, R.G.1
-
10
-
-
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
-
-
3242712896
-
Multi-resolution analysis of Wiener-type uncertainty propagation schemes
-
Maitre O.P.L., Njam H.N., Ghanem R.G., and Knio O.M. Multi-resolution analysis of Wiener-type uncertainty propagation schemes. J. Comput. Phys. 197 (2004) 502-531
-
(2004)
J. Comput. Phys.
, vol.197
, pp. 502-531
-
-
Maitre, O.P.L.1
Njam, H.N.2
Ghanem, R.G.3
Knio, O.M.4
-
13
-
-
0035964634
-
Solution of stochastic partial differential equations using Galerkin finite element techniques
-
Deb M.K., Babuška I., and Oden J.T. Solution of stochastic partial differential equations using Galerkin finite element techniques. Comput. Methods Appl. Mech. Engrg. 190 (2001) 6359-6372
-
(2001)
Comput. Methods Appl. Mech. Engrg.
, vol.190
, pp. 6359-6372
-
-
Deb, M.K.1
Babuška, I.2
Oden, J.T.3
-
14
-
-
13844319204
-
Galerkin finite element approximations of stochastic elliptic differential equations
-
Babuška I., Tempone R., and Zouraris G.E. Galerkin finite element approximations of stochastic elliptic differential equations. SIAM J. Numer. Anal. 42 2 (2004) 800-825
-
(2004)
SIAM J. Numer. Anal.
, vol.42
, Issue.2
, pp. 800-825
-
-
Babuška, I.1
Tempone, R.2
Zouraris, G.E.3
-
17
-
-
0013201448
-
Dynamical properties of truncated Wiener-Hermite expansions
-
Orszag S.A., and Bissonnette L.R. Dynamical properties of truncated Wiener-Hermite expansions. Phys. Fluids 10 12 (1967) 2603-2613
-
(1967)
Phys. Fluids
, vol.10
, Issue.12
, pp. 2603-2613
-
-
Orszag, S.A.1
Bissonnette, L.R.2
-
18
-
-
33745363373
-
-
D. Lucor, Generalized Polynomial Chaos: Applications to Random Oscillators and Flow-structure Interactions, Ph.D. thesis, Brown University, Division of Applied Mathematics, 2004.
-
-
-
-
19
-
-
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 2 (2005) 617-642
-
(2005)
J. Comput. Phys.
, vol.209
, Issue.2
, pp. 617-642
-
-
Wan, X.1
Karniadakis, G.E.2
-
20
-
-
33745367442
-
-
X. Wan, G.E. Karniadakis, Multi-element generalized polynomial chaos for arbitrary probability measures, SIAM J. Sci. Comput., in press.
-
-
-
-
21
-
-
0001505159
-
On generating orthogonal polynomials
-
Gautschi W. On generating orthogonal polynomials. SIAM J. Sci. Stat. Comput. 3 3 (1982) 289-317
-
(1982)
SIAM J. Sci. Stat. Comput.
, vol.3
, Issue.3
, pp. 289-317
-
-
Gautschi, W.1
-
24
-
-
3042815770
-
Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element method
-
Ainsworth M. Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element method. J. Comupt. Phys. 198 (2004) 106-130
-
(2004)
J. Comupt. Phys.
, vol.198
, pp. 106-130
-
-
Ainsworth, M.1
-
25
-
-
0037408312
-
Modeling uncertainty in flow simulations via generalized polynomial chaos
-
Xiu D., and Karniadakis G.E. Modeling uncertainty 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
-
26
-
-
33745420138
-
-
X. Wan, Multi-element Generalized Polynomial Chaos for Differential Equations with Random Inputs: Algorithms and Applications, Ph.D. thesis, Brown University, Division of Applied Mathematics (in preparation).
-
-
-
|