-
1
-
-
0012707577
-
The numerical solution of integral equations of the second kind
-
Cambridge University Press, Cambridge
-
Atkinson KE (1997) The numerical solution of integral equations of the second kind. Cambridge monographs on applied and computational mathematics, vol 4. Cambridge University Press, Cambridge
-
(1997)
Cambridge Monographs on Applied and Computational Mathematics
, vol.4
-
-
Atkinson, K.E.1
-
2
-
-
13844319204
-
Galerkin finite element approximations of stochastic elliptic partial differential equations
-
electronic
-
Babuška I, Tempone R, Zouraris GE (2004) Galerkin finite element approximations of stochastic elliptic partial differential equations. SIAM J Numer Anal 42(2):800-825 (electronic)
-
(2004)
SIAM J Numer Anal
, vol.42
, Issue.2
, pp. 800-825
-
-
Babuška, I.1
Tempone, R.2
Zouraris, G.E.3
-
3
-
-
34548216854
-
A stochastic collocation method for elliptic partial differential equations with random input data
-
electronic
-
Babuška I, Nobile F, Tempone R (2007) A stochastic collocation method for elliptic partial differential equations with random input data. SIAM J Numer Anal 45(3):1005-1034 (electronic)
-
(2007)
SIAM J Numer Anal
, vol.45
, Issue.3
, pp. 1005-1034
-
-
Babuška, I.1
Nobile, F.2
Tempone, R.3
-
4
-
-
0003893794
-
Templates for the solution of algebraic eigenvalue problems- practical guide
-
Bai Z, Demmel J, Dongarra J, Ruhe A, van der Vorst H (eds) Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA
-
Bai Z, Demmel J, Dongarra J, Ruhe A, van der Vorst H (eds) (2000) Templates for the solution of algebraic eigenvalue problems- practical guide, vol 11 of Software, Environments, and Tools. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA
-
(2000)
Software, Environments, and Tools
, vol.11
-
-
-
5
-
-
5844381624
-
Approximation of boundary element matrices
-
M Bebendorf 2000 Approximation of boundary element matrices Numer Math 86 4 565 589
-
(2000)
Numer Math
, vol.86
, Issue.4
, pp. 565-589
-
-
Bebendorf, M.1
-
6
-
-
34248574744
-
Stabilized rounded addition of hierarchical matrices
-
M Bebendorf W Hackbusch 2007 Stabilized rounded addition of hierarchical matrices Numer Linear Algebra Appl 14 5 407 423
-
(2007)
Numer Linear Algebra Appl
, vol.14
, Issue.5
, pp. 407-423
-
-
Bebendorf, M.1
Hackbusch, W.2
-
7
-
-
0041841599
-
Adaptive low-rank approximation of collocation matrices
-
M Bebendorf S Rjasanow 2003 Adaptive low-rank approximation of collocation matrices Computing 70 1 1 24
-
(2003)
Computing
, vol.70
, Issue.1
, pp. 1-24
-
-
Bebendorf, M.1
Rjasanow, S.2
-
8
-
-
24044501239
-
Hybrid cross approximation of integral operators
-
S Börm L Grasedyck 2005 Hybrid cross approximation of integral operators Numer Math 101 2 221 249
-
(2005)
Numer Math
, vol.101
, Issue.2
, pp. 221-249
-
-
Börm, S.1
Grasedyck, L.2
-
10
-
-
33847247390
-
Computational aspects of the stochastic finite element method
-
M Eiermann OG Ernst E Ullmann 2007 Computational aspects of the stochastic finite element method Comput Vis Sci 10 1 3 15
-
(2007)
Comput Vis Sci
, vol.10
, Issue.1
, pp. 3-15
-
-
Eiermann, M.1
Ernst, O.G.2
Ullmann, E.3
-
11
-
-
12344334601
-
Efficient iterative algorithms for the stochastic finite element method with application to acoustic scattering
-
HC Elman OG Ernst DP O'Leary M Stewart 2005 Efficient iterative algorithms for the stochastic finite element method with application to acoustic scattering Comput Methods Appl Mech Eng 194 9-11 1037 1055
-
(2005)
Comput Methods Appl Mech Eng
, vol.194
, Issue.9-11
, pp. 1037-1055
-
-
Elman, H.C.1
Ernst, O.G.2
O'Leary, D.P.3
Stewart, M.4
-
12
-
-
0031636309
-
FFTW: An adaptive software architecture for the FFT
-
IEEE, Seattle, WA
-
Frigo M, Johnson S (1998) FFTW: An adaptive software architecture for the FFT. In: Proc. ICASSP, IEEE, Seattle, WA, (3):1381-1384. http://www.fftw.org
-
(1998)
Proc. ICASSP
, Issue.3
, pp. 1381-1384
-
-
Frigo, M.1
Johnson, S.2
-
13
-
-
0026238497
-
Spectral stochastic finite-element formulation for reliability analysis
-
R Ghanem D Spanos 1991 Spectral stochastic finite-element formulation for reliability analysis J Eng Mech 117 10 2351 2370
-
(1991)
J Eng Mech
, vol.117
, Issue.10
, pp. 2351-2370
-
-
Ghanem, R.1
Spanos, D.2
-
17
-
-
0141829814
-
Construction arithmetics of H-matrices
-
L Grasedyck W Hackbusch 2003 Construction arithmetics of H-matrices Computing 70 4 295 334
-
(2003)
Computing
, vol.70
, Issue.4
, pp. 295-334
-
-
Grasedyck, L.1
Hackbusch, W.2
-
18
-
-
0002133258
-
A sparse H-matrix arithmetic. II. Application to multi-dimensional problems
-
W Hackbusch BN Khoromskij 2000 A sparse H-matrix arithmetic. II. Application to multi-dimensional problems Computing 64 1 21 47
-
(2000)
Computing
, vol.64
, Issue.1
, pp. 21-47
-
-
Hackbusch, W.1
Khoromskij, B.N.2
-
19
-
-
0003707754
-
Integral equations
-
Birkhäuser Verlag, Basel, 1995. Theory and numerical treatment, Translated and revised by the author from the 1989 German original
-
Hackbusch W (1995) Integral equations, vol 120 of International Series of Numerical Mathematics. Birkhäuser Verlag, Basel, 1995. Theory and numerical treatment, Translated and revised by the author from the 1989 German original
-
(1995)
International Series of Numerical Mathematics
, vol.120
-
-
Hackbusch, W.1
-
20
-
-
0032637646
-
A sparse matrix arithmetic based on H-matrices. I. Introduction to H-matrices
-
W Hackbusch 1999 A sparse matrix arithmetic based on H-matrices. I. Introduction to H-matrices Computing 62 2 89 108
-
(1999)
Computing
, vol.62
, Issue.2
, pp. 89-108
-
-
Hackbusch, W.1
-
22
-
-
10644283019
-
Hierarchical matrices based on a weak admissibility criterion
-
W Hackbusch BN Khoromskij R Kriemann 2004 Hierarchical matrices based on a weak admissibility criterion Computing 73 3 207 243
-
(2004)
Computing
, vol.73
, Issue.3
, pp. 207-243
-
-
Hackbusch, W.1
Khoromskij, B.N.2
Kriemann, R.3
-
24
-
-
0242522234
-
White noise-an infinite-dimensional calculus
-
Kluwer Academic Publishers Group, Dordrecht
-
Hida T, Kuo H-H, Potthoff J, Streit L (1993) White noise-an infinite-dimensional calculus, vol 253 of Mathematics and its Applications. Kluwer Academic Publishers Group, Dordrecht (1993)
-
(1993)
Mathematics and Its Applications
, vol.253
-
-
Hida, T.1
Kuo, H.-H.2
Potthoff, J.3
Streit, L.4
-
25
-
-
13844321715
-
Numerical solution of systems with stochastic uncertainties
-
Ph.D. Thesis, TU Braunschweig, Germany
-
Keese A (2004) Numerical solution of systems with stochastic uncertainties. A general purpose framework for stochastic finite elements. Ph.D. Thesis, TU Braunschweig, Germany
-
(2004)
A General Purpose Framework for Stochastic Finite Elements
-
-
Keese, A.1
-
26
-
-
0000094594
-
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
-
C Lanczos 1995 An iteration method for the solution of the eigenvalue problem of linear differential and integral operators J Res Nat Bur Standards 45 255 282
-
(1995)
J Res Nat Bur Standards
, vol.45
, pp. 255-282
-
-
Lanczos, C.1
-
27
-
-
0038436804
-
ARPACK users' guide. Solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods
-
Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA
-
Lehoucq RB, Sorensen DC, Yang C (1998) ARPACK users' guide. Solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods, vol 6 of Software, Environments, and Tools. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA
-
(1998)
Software, Environments, and Tools
, vol.6
-
-
Lehoucq, R.B.1
Sorensen, D.C.2
Yang, C.3
-
28
-
-
4244033811
-
Probability theory I
-
4th edn. Springer, New York
-
Loève, M (1977) Probability theory I. Graduate Texts in Mathematics, vol 45, 6, 4th edn. Springer, New York
-
(1977)
Graduate Texts in Mathematics
, vol.6-45
-
-
Loève, M.1
-
30
-
-
13844308726
-
Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations
-
HG Matthies A Keese 2005 Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations Comput Methods Appl Mech Eng 194 12-16 1295 1331
-
(2005)
Comput Methods Appl Mech Eng
, vol.194
, Issue.12-16
, pp. 1295-1331
-
-
Matthies, H.G.1
Keese, A.2
-
31
-
-
0342844513
-
Iterative solution of systems of linear equations arising in the context of stochastic finite elements
-
MF Pellissetti R Ghanem 2000 Iterative solution of systems of linear equations arising in the context of stochastic finite elements Adv Eng Softw 31 8-9 607 616
-
(2000)
Adv Eng Softw
, vol.31
, Issue.8-9
, pp. 607-616
-
-
Pellissetti, M.F.1
Ghanem, R.2
-
32
-
-
0004161838
-
-
Cambridge University Press, Cambridge
-
Press WH, Teukolsky SA, Vetterling WT, Flannery BP (1992) Numerical recipes in C-the art of scientific computing, 2nd edn. Cambridge University Press, Cambridge
-
(1992)
Numerical Recipes in C-the Art of Scientific Computing, 2nd Edn.
-
-
Press, W.H.1
Teukolsky, S.A.2
Vetterling, W.T.3
Flannery, B.P.4
-
33
-
-
0345100081
-
Functional analysis
-
Dover Publications Inc., New York, 1990. Translated from the second French edition by Leo F. Boron, Reprint of the 1955 original
-
Riesz F, Sz.-Nagy B (1990) Functional analysis. Dover Books on Advanced Mathematics. Dover Publications Inc., New York, 1990. Translated from the second French edition by Leo F. Boron, Reprint of the 1955 original
-
(1990)
Dover Books on Advanced Mathematics
-
-
Riesz, F.1
Sz.-Nagy, B.2
-
35
-
-
0242370956
-
Sparse finite elements for elliptic problems with stochastic loading
-
C Schwab RA Todor 2003 Sparse finite elements for elliptic problems with stochastic loading Numer Math 95 4 707 734
-
(2003)
Numer Math
, vol.95
, Issue.4
, pp. 707-734
-
-
Schwab, C.1
Todor, R.A.2
-
36
-
-
0141957096
-
Sparse finite elements for stochastic elliptic problems-higher order moments
-
C Schwab RA Todor 2003 Sparse finite elements for stochastic elliptic problems-higher order moments Computing 71 43 63
-
(2003)
Computing
, vol.71
, pp. 43-63
-
-
Schwab, C.1
Todor, R.A.2
-
37
-
-
33746346426
-
Karhunen-Loève approximation of random fields by generalized fast multipole methods
-
C Schwab RA Todor 2006 Karhunen-Loève approximation of random fields by generalized fast multipole methods J Comput Phys 217 1 100 122
-
(2006)
J Comput Phys
, vol.217
, Issue.1
, pp. 100-122
-
-
Schwab, C.1
Todor, R.A.2
-
38
-
-
34248150929
-
Fourier mode analysis of multigrid methods for partial differential equations with random coefficients
-
B Seynaeve E Rosseel B Nicolaï S Vandewalle 2007 Fourier mode analysis of multigrid methods for partial differential equations with random coefficients J Comput Phys 224 1 132 149
-
(2007)
J Comput Phys
, vol.224
, Issue.1
, pp. 132-149
-
-
Seynaeve, B.1
Rosseel, E.2
Nicolaï, B.3
Vandewalle, S.4
-
39
-
-
34047123580
-
Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients
-
RA Todor C Schwab 2007 Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients IMA J Numer Anal 27 2 232 261
-
(2007)
IMA J Numer Anal
, vol.27
, Issue.2
, pp. 232-261
-
-
Todor, R.A.1
Schwab, C.2
-
41
-
-
0000786435
-
The homogeneous chaos
-
N Wiener 1938 The homogeneous chaos Am J Math 60 897 936
-
(1938)
Am J Math
, vol.60
, pp. 897-936
-
-
Wiener, N.1
-
42
-
-
0006377434
-
Thick-restart Lanczos method for large symmetric eigenvalue problems
-
electronic
-
Wu K, Simon H (2000) Thick-restart Lanczos method for large symmetric eigenvalue problems. SIAM J Matrix Anal Appl 22(2):602-616 (electronic)
-
(2000)
SIAM J Matrix Anal Appl
, vol.22
, Issue.2
, pp. 602-616
-
-
Wu, K.1
Simon, H.2
|