-
1
-
-
2542597453
-
On the expression for the product of any two Legendre's coefficients by means of a series of Legendre's coefficients
-
J. C. Adams, On the expression for the product of any two Legendre's coefficients by means of a series of Legendre's coefficients, Proc. Roy. Soc. London, 27 (1878), pp. 63-71.
-
(1878)
Proc. Roy. Soc. London
, vol.27
, pp. 63-71
-
-
Adams, J.C.1
-
3
-
-
0004167330
-
-
Cambridge University Press, Cambridge, UK
-
G. E. Andrews, R. Askey, and R. Roy, Special Functions, Cambridge University Press, Cambridge, UK, 1999.
-
(1999)
Special Functions
-
-
Andrews, G.E.1
Askey, R.2
Roy, R.3
-
5
-
-
13844319204
-
Galerkin finite element approximations of stochastic elliptic partial differential equations
-
I. Babuška, R. Tempone, and G. E. Zouraris, Galerkin finite element approximations of stochastic elliptic partial differential equations, SIAM J. Numer. Anal., 42 (2004), pp. 800- 825.
-
(2004)
SIAM J. Numer. Anal.
, Issue.42
, pp. 800-825
-
-
Babuška, I.1
Tempone, R.2
Zouraris, G.E.3
-
6
-
-
13844314882
-
Solving elliptic boundary value problems with uncertain coefficients by the finite element method: The stochastic formulation, Comput
-
I. Babuška, R. Tempone, and G. E. Zouraris, Solving elliptic boundary value problems with uncertain coefficients by the finite element method: The stochastic formulation, Comput. Methods Appl. Mech. Engrg., 194 (2005), pp. 1251-1294.
-
(2005)
Methods Appl. Mech. Engrg.
, Issue.194
, pp. 1251-1294
-
-
Babuška, I.1
Tempone, R.2
Zouraris, G.E.3
-
8
-
-
77956054384
-
H(div) preconditioning for a mixed finite element formulation of the diffusion problem with random data
-
H. C. Elman, D. G. Furnival, and C. E. Powell, H(div) preconditioning for a mixed finite element formulation of the diffusion problem with random data, Math. Comp., 79 (2010), pp. 733-760.
-
Math. Comp.
, vol.79
, Issue.2010
, pp. 733-760
-
-
Elman, H.C.1
Furnival, D.G.2
Powell, C.E.3
-
9
-
-
0003438193
-
-
A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, eds., McGraw-Hill, New York
-
A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, eds., Tables of Integral Transforms, Vol.II, McGraw-Hill, New York, 1954.
-
(1954)
Tables of Integral Transforms
, vol.2
-
-
-
10
-
-
67649534729
-
Efficient solvers for a linear stochastic Galerkin mixed formulation of diffusion problems with random data
-
O. G. Ernst, C. E. Powell, D. J. Silvester, and E. Ullmann, Efficient solvers for a linear stochastic Galerkin mixed formulation of diffusion problems with random data, SIAM J. Sci. Comput., 31 (2009), pp. 1424-1447.
-
(2009)
SIAM J. Sci. Comput.
, vol.31
, pp. 1424-1447
-
-
Ernst, O.G.1
Powell, C.E.2
Silvester, D.J.3
Ullmann, E.4
-
12
-
-
0029776146
-
Numerical solution of spectral stochastic finite element systems
-
R. G. Ghanem and R. M. Kruger, Numerical solution of spectral stochastic finite element systems, Comput. Methods Appl. Mech. Engrg., 129 (1996), pp. 289-303.
-
(1996)
Comput. Methods Appl. Mech. Engrg.
, vol.129
, pp. 289-303
-
-
Ghanem, R.G.1
Kruger, R.M.2
-
13
-
-
27144481393
-
-
revised ed., Dover, Mineola, NY
-
R. G. Ghanem and P. D. Spanos, Stochastic Finite Elements: A Spectral Approach, revised ed., Dover, Mineola, NY, 2003.
-
(2003)
Stochastic Finite Elements: A Spectral Approach
-
-
Ghanem, R.G.1
Spanos, P.D.2
-
14
-
-
0004151494
-
-
Cambridge University Press, Cambridge, UK, reprinted paperback ed
-
R. A. Horn and C. R. Johnson, Matrix Analysis, Cambridge University Press, Cambridge, UK, reprinted paperback ed., 1999.
-
(1999)
Matrix Analysis
-
-
Horn, R.A.1
Johnson, C.R.2
-
16
-
-
2942555049
-
Uncertainty propagation using Wiener-Haar expansions
-
O. P. Le Maître, O. M. Knio, H. N. Najm, and R. G. Ghanem, Uncertainty propagation using Wiener-Haar expansions, J. Comput. Phys., 197 (2004), pp. 28-57.
-
(2004)
J. Comput. Phys.
, Issue.197
, pp. 28-57
-
-
Le Maître, O.P.1
Knio, O.M.2
Najm, H.N.3
Ghanem, R.G.4
-
17
-
-
39149094987
-
Multiresolutionanalysis scheme for uncertainty quantification in chemical systems
-
O. P. Le Maître, H. N. Najm, P. P. Pébay, R. G. Ghanem, and O. M. Knio, Multiresolutionanalysis scheme for uncertainty quantification in chemical systems, SIAM J. Sci. Comput., 29 (2007), pp. 864-889.
-
(2007)
SIAM J. Sci. Comput.
, Issue.29
, pp. 864-889
-
-
Le Maître, O.P.1
Najm, H.N.2
Pébay, P.P.3
Ghanem, R.G.4
Knio, O.M.5
-
18
-
-
21844507142
-
Linearization of the product of symmetric orthogonal polynomials
-
C. Markett, Linearization of the product of symmetric orthogonal polynomials, Constr. Approx., 10 (1994), pp. 317-338.
-
(1994)
Constr. Approx.
, vol.10
, pp. 317-338
-
-
Markett, C.1
-
19
-
-
13844308726
-
Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations
-
H. G. Matthies and A. Keese, Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations, Comput. Methods Appl. Mech. Engrg., 194 (2005), pp. 1295- 1331.
-
(2005)
Comput. Methods Appl. Mech. Engrg.
, vol.194
, pp. 1295-1331
-
-
Matthies, H.G.1
Keese, A.2
-
20
-
-
0342844513
-
Iterative solution of linear systems arising in the context of stochastic finite elements
-
M. F. Pellissetti and R. G. Ghanem, Iterative solution of linear systems arising in the context of stochastic finite elements, Adv. Eng. Softw., 31 (2000), pp. 607-616.
-
(2000)
Adv. Eng. Softw.
, vol.31
, pp. 607-616
-
-
Pellissetti, M.F.1
Ghanem, R.G.2
-
21
-
-
65249182525
-
Block-diagonal preconditioning for spectral stochastic finiteelement systems
-
C. E. Powell and H. C. Elman, Block-diagonal preconditioning for spectral stochastic finiteelement systems, IMA J. Numer. Anal., 29 (2009), pp. 350-375.
-
(2009)
IMA J. Numer. Anal.
, vol.29
, pp. 350-375
-
-
Powell, C.E.1
Elman, H.C.2
-
22
-
-
51449085530
-
Algebraic multigrid for stationary and timedependent partial differential equations with stochastic coefficients
-
E. Rosseel, T. Boonen, and S. Vandewalle, Algebraic multigrid for stationary and timedependent partial differential equations with stochastic coefficients, Numer. Linear Algebra Appl., 15 (2008), pp. 141-163.
-
(2008)
Numer. Linear Algebra Appl.
, vol.15
, pp. 141-163
-
-
Rosseel, E.1
Boonen, T.2
Vandewalle, S.3
-
23
-
-
16244409214
-
Physical systems with random uncertainties: Chaos representation with arbitrary probability measure
-
C. Soize and R. Ghanem, Physical systems with random uncertainties: Chaos representation with arbitrary probability measure, SIAM J. Sci. Comput., 26 (2004), pp. 395-410.
-
(2004)
SIAM J. Sci. Comput.
, vol.26
, pp. 395-410
-
-
Soize, C.1
Ghanem, R.2
-
24
-
-
0037184252
-
Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos
-
D. Xiu and G. E. Karniadakis, Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos, Comput. Methods Appl. Mech. Engrg., 191 (2002), pp. 4927- 4948.
-
(2002)
Comput. Methods Appl. Mech. Engrg.
, vol.191
, pp. 4927-4948
-
-
Xiu, D.1
Karniadakis, G.E.2
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