-
1
-
-
13844319204
-
Galerkin finite element approximations of stochastic elliptic partial differential equations
-
DOI 10.1137/S0036142902418680
-
I. Babuska, R. Tempone, and G. E. Zouraris, Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations. SIAM J. Numer. Anal. (2004) 42, 800-825. (Pubitemid 40645215)
-
(2004)
SIAM Journal on Numerical Analysis
, vol.42
, Issue.2
, pp. 800-825
-
-
Babuska, I.1
Temponet, R.2
Zouraris, G.E.3
-
2
-
-
13844314882
-
Solving elliptic boundary value problems with uncertain coefficients by the finite element method: The stochastic formulation
-
DOI 10.1016/j.cma.2004.02.026, PII S0045782504003949, Computational Methods in Stochastic Mechanics Reliability Analysis
-
I. Babuska, R. Tempone, and G. E. Zouraris, Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation. Comp. Meth. Appl. Mech. Engrg. (2005) 194, 1251-1294. (Pubitemid 40262931)
-
(2005)
Computer Methods in Applied Mechanics and Engineering
, vol.194
, Issue.12-16
, pp. 1251-1294
-
-
Babuska, I.1
Tempone, R.2
Zouraris, G.E.3
-
3
-
-
68649096448
-
Tensor decompositions and applications
-
B. Bader and T. Kolda, Tensor decompositions and applications. SIAM Rev. (2009) 51, 455-500.
-
(2009)
SIAM Rev.
, vol.51
, pp. 455-500
-
-
Bader, B.1
Kolda, T.2
-
4
-
-
0036679114
-
Numerical operator calculus in higher dimensions
-
G. Beylkin and M. J. Mohlenkamp, Numerical operator calculus in higher dimensions. Proc. Nat. Acad. Sci. USA (2002) 99, 10246-10251.
-
(2002)
Proc. Nat. Acad. Sci. USA
, vol.99
, pp. 10246-10251
-
-
Beylkin, G.1
Mohlenkamp, M.J.2
-
5
-
-
27844496824
-
Algorithms for numerical analysis in high dimensions
-
DOI 10.1137/040604959
-
G. Beylkin and M. J.Mohlenkamp, Algorithms for numerical analysis in high dimensions. SIAM J. Sci. Comp. (2005) 26, 2133-2159. (Pubitemid 41641365)
-
(2005)
SIAM Journal of Scientific Computing
, vol.26
, Issue.6
, pp. 2133-2159
-
-
Beylkin, G.1
Mohlenkamp, M.J.2
-
6
-
-
0030234706
-
Decomposition of quantics in sums of powers of linear forms
-
PII S0165168496000795
-
P. Comon and B.Mourrain, Decomposition of quantics in sums of powers of linear forms. Signal Process. (1996) 53, 93-107. (Pubitemid 126370899)
-
(1996)
Signal Processing
, vol.53
, Issue.2-3
, pp. 93-107
-
-
Comon, P.1
Mourrain, B.2
-
7
-
-
0034144758
-
A multilinear singular value decomposition
-
DOI 10.1137/S0895479896305696
-
L. de Lathauwer, B. de Moor, and J. Vandewalle, A multilinear singular value decomposition. SIAM J. Matrix Anal. Appl. (2000) 21, 1253-1278. (Pubitemid 33217068)
-
(2000)
SIAM Journal on Matrix Analysis and Applications
, vol.21
, Issue.4
, pp. 1253-1278
-
-
De Lathauwer, L.1
De Moor, B.2
Vandewalle, J.3
-
8
-
-
0034144761
-
On best rank-1 and rank-(R1,R2, ...,RN) approximation of high-order tensors
-
L. de Lathauwer, B. de Moor, and J. Vandewalle, On best rank-1 and rank-(R1,R2, ...,RN) approximation of high-order tensors. SIAM J. Matrix Anal. Appl. (2000) 21, 1324-1342.
-
(2000)
SIAM J. Matrix Anal. Appl.
, vol.21
, pp. 1324-1342
-
-
De Lathauwer, L.1
De Moor, B.2
Vandewalle, J.3
-
9
-
-
55349142218
-
Tensor rank and the ill-posedness of the best low-rank approximation problem
-
V. de Silva and L.-H. Lim, Tensor rank and the ill-posedness of the best low-rank approximation problem. SIAM J. Matrix Anal. Appl. (2008) 30, 1084-1127.
-
(2008)
SIAM J. Matrix Anal. Appl.
, vol.30
, pp. 1084-1127
-
-
De Silva, V.1
Lim, L.-H.2
-
10
-
-
79960464941
-
-
Preprint MIS MPI
-
S. V. Dolgov, B. N. Khoromskij, I. V. Oseledets, and E. E. Tyrtyshnikov, Tensor structured iterative solution of elliptic problems with jumping coefficients. Preprint No. 55, MIS MPI, 2010.
-
(2010)
Tensor Structured Iterative Solution of Elliptic Problems with Jumping Coefficients
, Issue.55
-
-
Dolgov, S.V.1
Khoromskij, B.N.2
Oseledets, I.V.3
Tyrtyshnikov, E.E.4
-
11
-
-
0001459708
-
A method for reducing dispersion in convective difference schemes(Difference schemes implementation through fractional time step and phase error methods reduce dispersion)
-
J. Fromm, A method for reducing dispersion in convective difference schemes(Difference schemes implementation through fractional time step and phase error methods reduce dispersion). J. Comp. Phys. (1968) 3, 176-189.
-
(1968)
J. Comp. Phys.
, vol.3
, pp. 176-189
-
-
Fromm, J.1
-
12
-
-
17144410769
-
Hierarchical tensor-product approximation to the inverse and related operators for high-dimensional elliptic problems
-
DOI 10.1007/s00607-004-0086-y
-
I. Gavrilyuk, W. Hackbusch, and B. Khoromskij, Hierarchical tensor-product approximation to the inverse and related operators for high-dimensional elliptic problems. Computing (2005) 74, 131-157. (Pubitemid 40512277)
-
(2005)
Computing (Vienna/New York)
, vol.74
, Issue.2
, pp. 131-157
-
-
Gavrilyuk, I.P.1
Hackbusch, W.2
Khoromskij, B.N.3
-
13
-
-
17144410769
-
Hierarchical tensor-product approximation to the inverse and related operators for high-dimensional elliptic problems
-
DOI 10.1007/s00607-004-0086-y
-
I. P. Gavrilyuk,W. Hackbusch, and B. Khoromskij, Tensor-product approximation to elliptic and parabolic solution operators in higher dimensions. Computing (2005) 74, 131-157. (Pubitemid 40512277)
-
(2005)
Computing (Vienna/New York)
, vol.74
, Issue.2
, pp. 131-157
-
-
Gavrilyuk, I.P.1
Hackbusch, W.2
Khoromskij, B.N.3
-
15
-
-
79960437682
-
-
MIS MPI, Leipzig
-
W. Hackbusch, B. N. Khoromskij, S. A. Sauter, and E. E. Tyrtyshnikov, Use of Tensor Formats in Elliptic Eigenvalue Problems. Preprint No. 78. MIS MPI, Leipzig, 2008.
-
(2008)
Use of Tensor Formats in Elliptic Eigenvalue Problems
, Issue.78
-
-
Hackbusch, W.1
Khoromskij, B.N.2
Sauter, S.A.3
Tyrtyshnikov, E.E.4
-
16
-
-
21244436795
-
Hierarchical Kronecker tensor-product approximations
-
DOI 10.1163/1569395054012767
-
W. Hackbush, B. N. Khoromskij, and E. E. Tyrtyshnikov, Hierarchical Kronecker tensor-product approximations. J. Numer. Math. (2005) 13, 119-156. (Pubitemid 40893187)
-
(2005)
Journal of Numerical Mathematics
, vol.13
, Issue.2
, pp. 119-156
-
-
Hackbusch, W.1
Khoromskij, B.N.2
Tyrtyshnikov, E.E.3
-
18
-
-
85162707890
-
The expression of a tensor or a polyadic as a sum of products
-
F. L. Hitchcock, The expression of a tensor or a polyadic as a sum of products. J. Math. Phys. (1927) 6, 164-189.
-
(1927)
J. Math. Phys.
, vol.6
, pp. 164-189
-
-
Hitchcock, F.L.1
-
19
-
-
70449726943
-
Tensor-structured preconditioners and approximate inverse of elliptic operators in Rd
-
B. Khoromskij, Tensor-structured Preconditioners and Approximate Inverse of Elliptic Operators in Rd. J. Constr. Approx. (2009) 30, 599-620.
-
(2009)
J. Constr. Approx.
, vol.30
, pp. 599-620
-
-
Khoromskij, B.1
-
20
-
-
47849118953
-
On tensor approximation of green iterations for kohn-sham equations
-
B. N. Khoromskij, On tensor approximation of green iterations for kohn-sham equations. Comp. Visualization Sci. (2008) 11, 259-271.
-
(2008)
Comp. Visualization Sci.
, vol.11
, pp. 259-271
-
-
Khoromskij, B.N.1
-
22
-
-
84897586218
-
Multigrid accelerated tensor approximation of function related multidimensional arrays
-
B. N. Khoromskij and V. Khoromskaia, Multigrid accelerated tensor approximation of function related multidimensional arrays. SIAM J. Sci. Comp. (2009) 31, 3002-3026.
-
(2009)
SIAM J. Sci. Comp.
, vol.31
, pp. 3002-3026
-
-
Khoromskij, B.N.1
Khoromskaia, V.2
-
27
-
-
0037354371
-
Nineteen dubious ways to compute the exponential of a matrix twenty-five years later
-
C. Moler and C. Van Loan, Nineteen dubious ways to compute the exponential of a matrix twenty-five years later. SIAM Rev. (2003) 45, 3-49.
-
(2003)
SIAM Rev.
, vol.45
, pp. 3-49
-
-
Moler, C.1
Van Loan, C.2
-
28
-
-
0037115856
-
Benchmark calculations on high-dimensional Henon-Heiles potentials with the multi-configuration time dependent Hartree (MCTDH) method
-
M. Nest and H.-D. Meyer, Benchmark calculations on high-dimensional Henon-Heiles potentials with the multi-configuration time dependent Hartree (MCTDH) method. J. Chem. Phys. (2002) 117, 10499.
-
(2002)
J. Chem. Phys.
, vol.117
, pp. 10499
-
-
Nest, M.1
Meyer, H.-D.2
-
29
-
-
70449525345
-
TT-cross approximation for multidimensional arrays in linear time
-
I. Oseledets and E. E. Tyrtyshnikov, TT-cross approximation for multidimensional arrays in linear time, Linear Algebra Appl. (2010) 432, 70-88.
-
(2010)
Linear Algebra Appl.
, Issue.432
, pp. 70-88
-
-
Oseledets, I.1
Tyrtyshnikov, E.E.2
-
31
-
-
69549090266
-
A new tensor decomposition
-
I. V. Oseledets, A new tensor decomposition. Dokl. Math. (2009) 80, No. 1, 495-496.
-
(2009)
Dokl. Math.
, vol.80
, Issue.1
, pp. 495-496
-
-
Oseledets, I.V.1
-
32
-
-
70350271433
-
On the approximation of matrices with logarithmical number of parameters
-
I. V. Oseledets, On the approximation of matrices with logarithmical number of parameters. Dokl. Math. (2009) 80, No. 2, 653-654.
-
(2009)
Dokl. Math.
, vol.80
, Issue.2
, pp. 653-654
-
-
Oseledets, I.V.1
-
33
-
-
77956042755
-
Approximation of 2d x2d matrices using tensor decomposition
-
I. V. Oseledets, Approximation of 2d x2d matrices using tensor decomposition. SIAM J. Matrix Anal. Appl. (2010) 31, 2130-2145.
-
(2010)
SIAM J. Matrix Anal. Appl.
, Issue.31
, pp. 2130-2145
-
-
Oseledets, I.V.1
-
36
-
-
70449528138
-
Breaking the curse of dimensionality, or how to use SVD in many dimensions
-
I. V. Oseledets and E. E. Tyrtyshnikov, Breaking the curse of dimensionality, or how to use SVD in many dimensions. SIAM J. Sci. Comp. (2009) 31, 3744-3759.
-
(2009)
SIAM J. Sci. Comp.
, vol.31
, pp. 3744-3759
-
-
Oseledets, I.V.1
Tyrtyshnikov, E.E.2
-
37
-
-
0142055272
-
Tensor approximations of matrices generated by asymptotically smooth functions
-
E. E. Tyrtyshnikov, Tensor approximations of matrices generated by asymptotically smooth functions. Sbornik Math. (2003) 194, 941-954. (Pubitemid 37282737)
-
(2003)
Sbornik Mathematics
, vol.194
, Issue.5-6
, pp. 941-954
-
-
Tyrtyshnikov, E.E.1
-
38
-
-
36148984241
-
Full-dimensional (15-dimensional) quantum-dynamical simulation of the protonated water dimer. I. Hamiltonian setup and analysis of the ground vibrational state
-
O. Vendrell, F. Gatti, D. Lauvergnat, and H.-D. Meyer, Full-dimensional (15-dimensional) quantum-dynamical simulation of the protonated water dimer. I. Hamiltonian setup and analysis of the ground vibrational state. J. Chem. Phys. (2007) 127, 184302.
-
(2007)
J. Chem. Phys.
, Issue.127
, pp. 184302
-
-
Vendrell, O.1
Gatti, F.2
Lauvergnat, D.3
Meyer, H.-D.4
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