-
1
-
-
85190826252
-
-
G. Karniadakis, C.-H. Su, D. Xiu, D. Lucor, C. Schwab, R. Todor, Generalized polynomial chaos solution for differential equations with random inputs, Research Report 2005-01, Seminar for Applied Mathematics, ETC Zürich, January 2005.
-
-
-
-
2
-
-
0031244944
-
A state-of-the-art report on computational stochastic mechanics
-
Schuëller G.I. A state-of-the-art report on computational stochastic mechanics. Prob. Engrg. Mech. 12 4 (1997) 197-322
-
(1997)
Prob. Engrg. Mech.
, vol.12
, Issue.4
, pp. 197-322
-
-
Schuëller, G.I.1
-
4
-
-
0035796801
-
A variance propagation algorithm for stochastic heat and mass transfer problems in food processes
-
Scheerlinck N., Verboven P., Stigter J.D., De Baerdemaeker J., Van Impe J.F., and Nicolaï B.M. A variance propagation algorithm for stochastic heat and mass transfer problems in food processes. Int. J. Num. Methods Engrg. 51 8 (2001) 961-983
-
(2001)
Int. J. Num. Methods Engrg.
, vol.51
, Issue.8
, pp. 961-983
-
-
Scheerlinck, N.1
Verboven, P.2
Stigter, J.D.3
De Baerdemaeker, J.4
Van Impe, J.F.5
Nicolaï, B.M.6
-
5
-
-
0026238497
-
A spectral stochastic finite element formulation for reliability analysis
-
Ghanem R., and Spanos P. A spectral stochastic finite element formulation for reliability analysis. J. Engrg. Mech. ASCE 17 (1991) 2351-2372
-
(1991)
J. Engrg. Mech. ASCE
, vol.17
, pp. 2351-2372
-
-
Ghanem, R.1
Spanos, P.2
-
7
-
-
0342844513
-
Iterative solution for systems of linear equations arising in the context of stochastic finite elements
-
Pellissetti M., and Ghanem R. Iterative solution for systems of linear equations arising in the context of stochastic finite elements. Adv. Engrg. Software 31 (2000) 607-616
-
(2000)
Adv. Engrg. Software
, vol.31
, pp. 607-616
-
-
Pellissetti, M.1
Ghanem, R.2
-
8
-
-
13844319204
-
Galerkin finite element approximations of stochastic elliptic partial differential equations
-
Babuška I., Tempone R., and Zouraris G. 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, G.3
-
9
-
-
13844314882
-
Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation
-
Babuška I., Tempone R., and Zouraris G.E. Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation. Comput. Methods Appl. Mech. Engrg. 194 (2005) 1251-1294
-
(2005)
Comput. Methods Appl. Mech. Engrg.
, vol.194
, pp. 1251-1294
-
-
Babuška, I.1
Tempone, R.2
Zouraris, G.E.3
-
10
-
-
0141680820
-
A multigrid solver for two-dimensional stochastic diffusion equations
-
Le Maître O., Knio O., Debusschere B., Najm H., and Ghanem R. A multigrid solver for two-dimensional stochastic diffusion equations. Comput. Methods Appl. Mech. Engrg. 192 (2003) 4723-4744
-
(2003)
Comput. Methods Appl. Mech. Engrg.
, vol.192
, pp. 4723-4744
-
-
Le Maître, O.1
Knio, O.2
Debusschere, B.3
Najm, H.4
Ghanem, R.5
-
11
-
-
85190825844
-
-
H. Elman, D. Furnival, Solving the stochastic steady-state diffusion problem using multigrid, Technical Report TR-4786, University of Maryland, Department of Computer Science (2006).
-
-
-
-
12
-
-
84966233568
-
Multi-level adaptive solutions to boundary-value problems
-
Brandt A. Multi-level adaptive solutions to boundary-value problems. Math. Comput. 31 (1977) 333-390
-
(1977)
Math. Comput.
, vol.31
, pp. 333-390
-
-
Brandt, A.1
-
16
-
-
0037249229
-
The Wiener-Askey polynomial chaos for stochastic differential equations
-
Xiu D., and Karniadakis G. 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.2
-
17
-
-
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
-
18
-
-
85190756908
-
-
B. Sudret, A. Der Kiureghian, Stochastic finite elements and reliability: a state-of-the-art report, Technical Report UCB/SEMM-2000/08, University of California, Berkeley (2000).
-
-
-
-
19
-
-
0004239925
-
-
Academic Press, San Diego, USA
-
Trottenberg U., Oosterlee C., and Schüller A. Multigrid (2001), Academic Press, San Diego, USA
-
(2001)
Multigrid
-
-
Trottenberg, U.1
Oosterlee, C.2
Schüller, A.3
-
20
-
-
33748300143
-
-
CRC Press, Boca Raton, Florida, USA
-
Wienands R., and Joppich W. Practical Fourier Analysis for Multigrid Methods (2005), CRC Press, Boca Raton, Florida, USA
-
(2005)
Practical Fourier Analysis for Multigrid Methods
-
-
Wienands, R.1
Joppich, W.2
-
21
-
-
0000393895
-
Multigrid smoothing factors for red-black Gauss-Seidel relaxation applied to a class of elliptic operators
-
Yavneh I. Multigrid smoothing factors for red-black Gauss-Seidel relaxation applied to a class of elliptic operators. SIAM J. Numer. Anal. 32 4 (1995) 1126-1138
-
(1995)
SIAM J. Numer. Anal.
, vol.32
, Issue.4
, pp. 1126-1138
-
-
Yavneh, I.1
-
22
-
-
0005423908
-
On red-black SOR smoothing in multigrid
-
Yavneh I. On red-black SOR smoothing in multigrid. SIAM J. Sci. Comput. 17 1 (1996) 180-192
-
(1996)
SIAM J. Sci. Comput.
, vol.17
, Issue.1
, pp. 180-192
-
-
Yavneh, I.1
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