-
1
-
-
34548216854
-
A stochastic collocation method for elliptic partial differential equations with random input data
-
(electronic)
-
Babuška I., Nobile F., Tempone R.: A stochastic collocation method for elliptic partial differential equations with random input data. SIAM J. Numer. Anal. 45, 1005-1034 (2007, electronic).
-
(2007)
SIAM J. Numer. Anal.
, vol.45
, pp. 1005-1034
-
-
Babuška, I.1
Nobile, F.2
Tempone, R.3
-
2
-
-
13844319204
-
Galerkin Finite Element approximations of stochastic elliptic partial differential equations
-
(electronic)
-
Babuška, I., Tempone, R., Zouraris, G. E.: Galerkin Finite Element approximations of stochastic elliptic partial differential equations. SIAM J. Numer. Anal., 42, 800-825 (2004, electronic).
-
(2004)
SIAM J. Numer. Anal.
, vol.42
, pp. 800-825
-
-
Babuška, I.1
Tempone, R.2
Zouraris, G.E.3
-
3
-
-
77955271609
-
A Finite Element Method for martingale-driven stochastic partial differential equations
-
Barth A.: A Finite Element Method for martingale-driven stochastic partial differential equations. Commun. Stoch. Anal. 4, 355-375 (2010).
-
(2010)
Commun. Stoch. Anal.
, vol.4
, pp. 355-375
-
-
Barth, A.1
-
5
-
-
80051668193
-
Simulation of stochastic partial differential equations using Finite Element methods
-
(in press)
-
Barth, A., Lang, A.: Simulation of stochastic partial differential equations using Finite Element methods. Stochastics (2010, in press).
-
(2010)
Stochastics
-
-
Barth, A.1
Lang, A.2
-
6
-
-
78651581790
-
Sparse tensor discretization of elliptic SPDEs
-
Bieri, M., Andreev, R., Schwab, C.: Sparse tensor discretization of elliptic SPDEs. SIAM J. Sci. Comput. 31, 4281-4304 (2009/2010).
-
(2009)
SIAM J. Sci. Comput.
, vol.31
, pp. 4281-4304
-
-
Bieri, M.1
Andreev, R.2
Schwab, C.3
-
8
-
-
0003854283
-
-
3rd edn., Berlin: Springer
-
Braess D.: Finite Elemente, 3rd edn. Springer, Berlin (2002).
-
(2002)
Finite Elemente
-
-
Braess, D.1
-
10
-
-
9244261365
-
Numerical analysis of wavelet methods
-
North-Holland, Amsterdam
-
Cohen, A.: Numerical analysis of wavelet methods. In: Studies in Mathematics and its Applications. North-Holland, Amsterdam (2003).
-
(2003)
Studies in Mathematics and its Applications
-
-
Cohen, A.1
-
11
-
-
77957936449
-
Convergence rates of best n-term approximations for a class of elliptic spdes
-
Cohen A., DeVore R., Schwab C.: Convergence rates of best n-term approximations for a class of elliptic spdes. Found. Comput. Math. 10, 615-646 (2010).
-
(2010)
Found. Comput. Math.
, vol.10
, pp. 615-646
-
-
Cohen, A.1
Devore, R.2
Schwab, C.3
-
12
-
-
78751652284
-
Analytic regularity and polynomial approximation of parametric and stochastic elliptic PDEs
-
Cohen A., DeVore R., Schwab C.: Analytic regularity and polynomial approximation of parametric and stochastic elliptic PDEs. J. Anal. Appl. 9, 11-47 (2011).
-
(2011)
J. Anal. Appl.
, vol.9
, pp. 11-47
-
-
Cohen, A.1
Devore, R.2
Schwab, C.3
-
14
-
-
0031173547
-
Fast and exact simulation of stationary Gaussian processes through circulant embedding of the covariance matrix
-
Dietrich C. R., Newsam G. N.: Fast and exact simulation of stationary Gaussian processes through circulant embedding of the covariance matrix. SIAM J. Sci. Comput. 18, 1088-1107 (1997).
-
(1997)
SIAM J. Sci. Comput.
, vol.18
, pp. 1088-1107
-
-
Dietrich, C.R.1
Newsam, G.N.2
-
15
-
-
67349263036
-
Rate of weak convergence of the Finite Element Method for the stochastic heat equation with additive noise
-
Geissert M., Kovács M., Larsson S.: Rate of weak convergence of the Finite Element Method for the stochastic heat equation with additive noise. BIT Numer. Math. 49, 343-356 (2009).
-
(2009)
BIT Numer. Math.
, vol.49
, pp. 343-356
-
-
Geissert, M.1
Kovács, M.2
Larsson, S.3
-
16
-
-
0041625080
-
Elliptic partial differential equations of second order
-
Springer, Berlin, (reprint of the 1998 edition)
-
Gilbarg D., Trudinger N. S.: Elliptic partial differential equations of second order. In: Classics in Mathematics. Springer, Berlin (2001, reprint of the 1998 edition).
-
(2001)
Classics in Mathematics
-
-
Gilbarg, D.1
Trudinger, N.S.2
-
18
-
-
61449162945
-
Multilevel Monte Carlo path simulation
-
Giles M. B.: Multilevel Monte Carlo path simulation. Oper. Res. 56, 607-617 (2008).
-
(2008)
Oper. Res.
, vol.56
, pp. 607-617
-
-
Giles, M.B.1
-
19
-
-
0242503926
-
On additive Schwarz preconditioners for sparse grid discretizations
-
Griebel M., Oswald P.: On additive Schwarz preconditioners for sparse grid discretizations. Numer. Math. 66, 449-463 (1994).
-
(1994)
Numer. Math.
, vol.66
, pp. 449-463
-
-
Griebel, M.1
Oswald, P.2
-
21
-
-
84944906179
-
Multilevel Monte Carlo Methods
-
Third International Conference, LSSC 2001, Sozopol, Bulgaria, June 6-10, 2001 (Revised Papers, S. Margenov, J. Wasniewski, and P. Y. Yalamov, eds., of Lecture Notes in Computer Science, Springer)
-
Heinrich, S.: Multilevel Monte Carlo Methods. In: Large-Scale Scientific Computing, Third International Conference, LSSC 2001, Sozopol, Bulgaria, June 6-10, 2001 (Revised Papers, S. Margenov, J. Wasniewski, and P. Y. Yalamov, eds., vol. 2179 of Lecture Notes in Computer Science, Springer, 2001, pp. 58-67).
-
(2001)
Large-Scale Scientific Computing
, vol.2179
, pp. 58-67
-
-
Heinrich, S.1
-
22
-
-
77954184528
-
Finite Element approximation of the linear stochastic wave equation with additive noise
-
Kovács M., Larsson S., Saedpanah F.: Finite Element approximation of the linear stochastic wave equation with additive noise. SIAM J. Numer. Anal. 48, 408-427 (2010).
-
(2010)
SIAM J. Numer. Anal.
, vol.48
, pp. 408-427
-
-
Kovács, M.1
Larsson, S.2
Saedpanah, F.3
-
24
-
-
0003575867
-
-
Springer-Verlag, New York,Translated from the French by P. Kenneth, Die Grundlehren der mathematischen Wissenschaften, Band 181)
-
Lions, J.-L., Magenes E.: Non-homogeneous boundary value problems and applications, vol. I. Springer-Verlag, New York (1972). (Translated from the French by P. Kenneth, Die Grundlehren der mathematischen Wissenschaften, Band 181).
-
(1972)
Non-homogeneous boundary value problems and applications
, vol.I
-
-
Lions, J.-L.1
Magenes, E.2
-
26
-
-
80051671866
-
-
Tech. Report 2011-02. Seminar for Applied Mathematics, ETH Zurich, January, (in review)
-
Mishra S., Schwab C., Šukys J.: Multi-Level Monte Carlo Finite Volume Mmethods for nonlinear systems of conservation laws in multi-dimensions with random intitial data. Tech. Report 2011-02. Seminar for Applied Mathematics, ETH Zurich, January 2011 (in review).
-
(2011)
Multi-Level Monte Carlo Finite Volume Mmethods for nonlinear systems of conservation laws in multi-dimensions with random intitial data
-
-
Mishra, S.1
Schwab, C.2
Šukys, J.3
-
27
-
-
0031895110
-
High-resolution Monte Carlo simulation of flow and conservative transport in heterogeneous porous media 1. Methodology and flow results
-
Naff R. L., Haley D. F., Sudicky E.: High-resolution Monte Carlo simulation of flow and conservative transport in heterogeneous porous media 1. Methodology and flow results. Water Resour. Res. 34, 663-677 (1998).
-
(1998)
Water Resour. Res.
, vol.34
, pp. 663-677
-
-
Naff, R.L.1
Haley, D.F.2
Sudicky, E.3
-
28
-
-
0031922966
-
High-resolution Monte Carlo simulation of flow and conservative transport in heterogeneous porous media 2. Transport results
-
Naff R. L., Haley D. F., Sudicky E.: High-resolution Monte Carlo simulation of flow and conservative transport in heterogeneous porous media 2. Transport results. Water Resour. Res. 34, 679-697 (1998).
-
(1998)
Water Resour. Res.
, vol.34
, pp. 679-697
-
-
Naff, R.L.1
Haley, D.F.2
Sudicky, E.3
-
29
-
-
52749093759
-
An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data
-
Nobile F., Tempone R., Webster C. G.: An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data. SIAM J. Numer. Anal. 46, 2411-2442 (2008).
-
(2008)
SIAM J. Numer. Anal.
, vol.46
, pp. 2411-2442
-
-
Nobile, F.1
Tempone, R.2
Webster, C.G.3
-
30
-
-
52749083629
-
A sparse grid stochastic collocation method for partial differential equations with random input data
-
Nobile F., Tempone R., Webster C. G.: A sparse grid stochastic collocation method for partial differential equations with random input data. SIAM J. Numer. Anal. 46, 2309-2345 (2008).
-
(2008)
SIAM J. Numer. Anal.
, vol.46
, pp. 2309-2345
-
-
Nobile, F.1
Tempone, R.2
Webster, C.G.3
-
31
-
-
0242370956
-
Sparse Finite Elements for elliptic problems with stochastic loading
-
Schwab C., Todor R. A.: Sparse Finite Elements for elliptic problems with stochastic loading. Numer. Math. 95, 707-734 (2003).
-
(2003)
Numer. Math.
, vol.95
, pp. 707-734
-
-
Schwab, C.1
Todor, R.A.2
-
32
-
-
0141957096
-
Sparse Finite Elements for stochastic elliptic problems-higher order moments
-
Schwab C., Todor R. A.: Sparse Finite Elements for stochastic elliptic problems-higher order moments. Computing 71, 43-63 (2003).
-
(2003)
Computing
, vol.71
, pp. 43-63
-
-
Schwab, C.1
Todor, R.A.2
-
33
-
-
33746346426
-
Karhunen-Loève approximation of random fields by generalized fast multipole methods
-
Schwab C., Todor R. A.: Karhunen-Loève approximation of random fields by generalized fast multipole methods. J. Comput. Phys. 217, 100-122 (2006).
-
(2006)
J. Comput. Phys.
, vol.217
, pp. 100-122
-
-
Schwab, C.1
Todor, R.A.2
-
34
-
-
1342326246
-
Numerical solution of parabolic equations in high dimensions
-
von Petersdorff T., Schwab C.: Numerical solution of parabolic equations in high dimensions. M2AN Math. Model. Numer. Anal. 38, 93-127 (2004).
-
(2004)
M2AN Math. Model. Numer. Anal.
, vol.38
, pp. 93-127
-
-
von Petersdorff, T.1
Schwab, C.2
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