-
1
-
-
34548216854
-
A stochastic collocation method for elliptic partial differential equations with random input data
-
to appear
-
I. Babuška, F. Nobile and R. Tempone, A stochastic collocation method for elliptic partial differential equations with random input data, SIAM J. Numer. Anal., to appear.
-
SIAM J. Numer. Anal
-
-
Babuška, I.1
Nobile, F.2
Tempone, R.3
-
2
-
-
13844319204
-
Galerkin finite element approximations of stochastic elliptic differential equations
-
I. Babuška, R. Tempone and G. Zouraris, Galerkin finite element approximations of stochastic elliptic 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
-
3
-
-
0034381734
-
High dimensional polynomial interpolation on sparse grid
-
V. Barthelmann, E. Novak and K. Ritter, High dimensional polynomial interpolation on sparse grid, Adv. Comput. Math., 12 (1999), 273-288.
-
(1999)
Adv. Comput. Math
, vol.12
, pp. 273-288
-
-
Barthelmann, V.1
Novak, E.2
Ritter, K.3
-
4
-
-
0003766476
-
-
Springer-Verlag, New York
-
C. Canuto, M. Hussaini, A. Quarteroni and T. Zang, Spectral Method in Fluid Dynamics, Springer-Verlag, New York, 1988.
-
(1988)
Spectral Method in Fluid Dynamics
-
-
Canuto, C.1
Hussaini, M.2
Quarteroni, A.3
Zang, T.4
-
5
-
-
0038054072
-
An encyclopaedia. of cubature formulas
-
R. Cools, An encyclopaedia. of cubature formulas, J. Complexity, 19 (2003), 445-453.
-
(2003)
J. Complexity
, vol.19
, pp. 445-453
-
-
Cools, R.1
-
7
-
-
0003489634
-
-
Springer-Verlag, New York
-
G. Fishman, Monte Carlo: Concepts, Algorithms, and Applications, Springer-Verlag, New York, 1996.
-
(1996)
Monte Carlo: Concepts, Algorithms, and Applications
-
-
Fishman, G.1
-
8
-
-
10444261986
-
Finite elements for elliptic problems with stochastic coefficients
-
P. Frauenfelder, C. Schwab and R. Todor, Finite elements for elliptic problems with stochastic coefficients, Comput. Meth. Appl. Mech. Eng., 194 (2005), 205-228.
-
(2005)
Comput. Meth. Appl. Mech. Eng
, vol.194
, pp. 205-228
-
-
Frauenfelder, P.1
Schwab, C.2
Todor, R.3
-
10
-
-
0034688174
-
Construction of a genetic toggle switch in escherichia coli
-
T. Gardner, C. Cantor and J. Collins, Construction of a genetic toggle switch in escherichia coli, Nature, 403 (2000), 339-342.
-
(2000)
Nature
, vol.403
, pp. 339-342
-
-
Gardner, T.1
Cantor, C.2
Collins, J.3
-
13
-
-
0014854899
-
Numerical evaluation of multiple integrals
-
S. Haber, Numerical evaluation of multiple integrals, SIAM Rev., 12 (1970), 481-526.
-
(1970)
SIAM Rev
, vol.12
, pp. 481-526
-
-
Haber, S.1
-
16
-
-
2942555049
-
Uncertainty propagation using Wiener-Haar expansions
-
O. Le Maitre, O. Knio, H. Najm and R. Ghanem, Uncertainty propagation using Wiener-Haar expansions, J. Comput. Phys., 197 (2004), 28-57.
-
(2004)
J. Comput. Phys
, vol.197
, pp. 28-57
-
-
Le Maitre, O.1
Knio, O.2
Najm, H.3
Ghanem, R.4
-
17
-
-
33646218851
-
A stochastic collocation algorithm for uncertainty analysis
-
Tech. Report NASA/CR-2003-212153, NASA Langley Research Center
-
L. Mathelin and M. Hussaini, A stochastic collocation algorithm for uncertainty analysis, Tech. Report NASA/CR-2003-212153, NASA Langley Research Center, 2003.
-
(2003)
-
-
Mathelin, L.1
Hussaini, M.2
-
18
-
-
0030524566
-
High dimensional integration of smooth functions over cubes
-
E. Novak and K. Ritter, High dimensional integration of smooth functions over cubes, Numer. Math., 75 (1996), 79-97.
-
(1996)
Numer. Math
, vol.75
, pp. 79-97
-
-
Novak, E.1
Ritter, K.2
-
19
-
-
0033238933
-
Simple cubature formulas with high polynomial exactness
-
E. Novak and K. Ritter, Simple cubature formulas with high polynomial exactness, Constr. Approx., 15 (1999), 499-522.
-
(1999)
Constr. Approx
, vol.15
, pp. 499-522
-
-
Novak, E.1
Ritter, K.2
-
22
-
-
0036080555
-
Autocrine loops with positive feedback enable context-dependent cell signaling
-
S. Shvartsman, M. Hagan, A. Yacoub, P. Dent, H. Wiley and D. Lauffenburger, Autocrine loops with positive feedback enable context-dependent cell signaling, Am. J. Physiol.-Cell Physiol., 282 (2002), C545-C559.
-
(2002)
Am. J. Physiol.-Cell Physiol
, vol.282
-
-
Shvartsman, S.1
Hagan, M.2
Yacoub, A.3
Dent, P.4
Wiley, H.5
Lauffenburger, D.6
-
23
-
-
0001048297
-
Quadrature and interpolation formulas for tensor products of certain classes of functions
-
S. Smolyak, Quadrature and interpolation formulas for tensor products of certain classes of functions, Soviet Math. Dokl., 4 (1963), 240-243.
-
(1963)
Soviet Math. Dokl
, vol.4
, pp. 240-243
-
-
Smolyak, S.1
-
24
-
-
0031392891
-
An efficient method for parametric uncertainty analysis of numerical geophysical model
-
M. Tatang, W. Pan, R. Prinn and G. McRae, An efficient method for parametric uncertainty analysis of numerical geophysical model, J. Geophys. Res., 102 (1997), 21925-21932.
-
(1997)
J. Geophys. Res
, vol.102
, pp. 21925-21932
-
-
Tatang, M.1
Pan, W.2
Prinn, R.3
McRae, G.4
-
25
-
-
46449084805
-
Explicit cost bounds of algorithms for multivariate tensor product problems
-
G. Wasilkowski and H. Wozniakowski, Explicit cost bounds of algorithms for multivariate tensor product problems, J. Complexity, 11 (1995), 1-56.
-
(1995)
J. Complexity
, vol.11
, pp. 1-56
-
-
Wasilkowski, G.1
Wozniakowski, H.2
-
26
-
-
33646577797
-
High-order collocation methods for differential equations with random inputs
-
D. Xiu and J. Hesthaven, High-order collocation methods for differential equations with random inputs, SIAM J. Sci. Comput., 27 (2005), 1118-1139.
-
(2005)
SIAM J. Sci. Comput
, vol.27
, pp. 1118-1139
-
-
Xiu, D.1
Hesthaven, J.2
-
27
-
-
0037184252
-
Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos
-
D. Xiu. and G. Karniadakis, Modeling 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.2
-
28
-
-
0037249229
-
The Wiener-Askey polynomial chaos for stochastic differential equations
-
D. Xiu and G. Karniadakis, The Wiener-Askey polynomial chaos for stochastic differential equations, SIAM J. Sci. Comput., 24 (2002), 619-644.
-
(2002)
SIAM J. Sci. Comput
, vol.24
, pp. 619-644
-
-
Xiu, D.1
Karniadakis, G.2
-
29
-
-
0037408312
-
Modeling uncertainty in flow simulations via generalized polynomial chaos
-
D. Xiu and G. Karniadakis, 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.2
-
30
-
-
34147178547
-
An efficient spectral method for acoustic scattering from rough surfaces
-
D. Xiu and J. Shen, An efficient spectral method for acoustic scattering from rough surfaces, Commun. Comput. Phys., 2 (2007), 54-72.
-
(2007)
Commun. Comput. Phys
, vol.2
, pp. 54-72
-
-
Xiu, D.1
Shen, J.2
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