-
1
-
-
78549238137
-
On the convergence of a greedy rank-one update algorithm for a class of linear systems
-
Ammar A., Chinesta F., Falcó A.: On the convergence of a greedy rank-one update algorithm for a class of linear systems. Arch. Comput. Methods Eng. 17(4), 473-486 (2010).
-
(2010)
Arch. Comput. Methods Eng.
, vol.17
, Issue.4
, pp. 473-486
-
-
Ammar, A.1
Chinesta, F.2
Falcó, A.3
-
2
-
-
33751260933
-
A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modelling of complex fluids
-
Ammar A., Mokdad B., Chinesta F., Keunings R.: A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modelling of complex fluids. J. Non-Newtonian Fluid Mech. 139(3), 153-176 (2006).
-
(2006)
J. Non-Newtonian Fluid Mech.
, vol.139
, Issue.3
, pp. 153-176
-
-
Ammar, A.1
Mokdad, B.2
Chinesta, F.3
Keunings, R.4
-
4
-
-
33646806588
-
-
Birkhäuser, Switzerland
-
Blanchard, P., Brüning, E.: Mathematical Methods in Physics: Distributions, Hilbert Space Operators, and Variational Methods. Birkhäuser, Switzerland (2003).
-
(2003)
Mathematical Methods in Physics: Distributions, Hilbert Space Operators, and Variational Methods
-
-
Blanchard, P.1
Brüning, E.2
-
5
-
-
0000682182
-
Differentiable functions on certain Banach spaces
-
Bonic R., Frampton J.: Differentiable functions on certain Banach spaces. Bull. Am. Math. Soc. 71(2), 393-395 (1965).
-
(1965)
Bull. Am. Math. Soc.
, vol.71
, Issue.2
, pp. 393-395
-
-
Bonic, R.1
Frampton, J.2
-
6
-
-
70449574498
-
Results and questions on a nonlinear approximation approach for solving high-dimensional partial differential equations
-
Le Bris C., Lelievre T., Maday Y.: Results and questions on a nonlinear approximation approach for solving high-dimensional partial differential equations. Constr. Approx. 30(3), 621-651 (2009).
-
(2009)
Constr. Approx.
, vol.30
, Issue.3
, pp. 621-651
-
-
Le Bris, C.1
Lelievre, T.2
Maday, Y.3
-
8
-
-
27744525221
-
Adaptive optimization of convex functionals in banach spaces
-
Canuto C., Urban K.: Adaptive optimization of convex functionals in banach spaces. SIAM J. Numer. Anal. 42(5), 2043-2075 (2005).
-
(2005)
SIAM J. Numer. Anal.
, vol.42
, Issue.5
, pp. 2043-2075
-
-
Canuto, C.1
Urban, K.2
-
9
-
-
78549239497
-
Recent advances in the use of the Proper Generalized Decomposition for solving multidimensional models
-
Chinesta F., Ammar A., Cueto E.: Recent advances in the use of the Proper Generalized Decomposition for solving multidimensional models. Arch. Comput. Methods Eng. 17(4), 373-391 (2010).
-
(2010)
Arch. Comput. Methods Eng.
, vol.17
, Issue.4
, pp. 373-391
-
-
Chinesta, F.1
Ammar, A.2
Cueto, E.3
-
13
-
-
55349142218
-
Tensor rank and ill-posedness of the best low-rank approximation problem
-
de Silva V., Lim L.-H.: Tensor rank and ill-posedness of the best low-rank approximation problem. SIAM J. Matrix Anal. Appl. 30(3), 1084-1127 (2008).
-
(2008)
SIAM J. Matrix Anal. Appl.
, vol.30
, Issue.3
, pp. 1084-1127
-
-
de Silva, V.1
Lim, L.-H.2
-
16
-
-
78650698308
-
A Proper Generalized Decomposition for the solution of elliptic problems in abstract form by using a functional Eckart-Young approach
-
Falcó A., Nouy A.: A Proper Generalized Decomposition for the solution of elliptic problems in abstract form by using a functional Eckart-Young approach. J. Math. Anal. Appl. 376, 469-480 (2011).
-
(2011)
J. Math. Anal. Appl.
, vol.376
, pp. 469-480
-
-
Falcó, A.1
Nouy, A.2
-
18
-
-
77952289640
-
A new scheme for the tensor representation
-
Hackbusch W., Kühn S.: A new scheme for the tensor representation. J. Fourier Anal. Appl. 15, 706-722 (2009).
-
(2009)
J. Fourier Anal. Appl.
, vol.15
, pp. 706-722
-
-
Hackbusch, W.1
Kühn, S.2
-
19
-
-
77951823247
-
-
Technical Report Research Report No. 2010-78, Max Planck Institute for Mathematics in the Sciences
-
Hackbusch, W., Khoromskij, B. N., Sauter, S. A., Tyrtyshnikov, E. E.: Use of tensor formats in elliptic eigenvalue problems. Technical Report Research Report No. 2010-78, Max Planck Institute for Mathematics in the Sciences, (2008).
-
(2008)
Use of tensor formats in elliptic eigenvalue problems
-
-
Hackbusch, W.1
Khoromskij, B.N.2
Sauter, S.A.3
Tyrtyshnikov, E.E.4
-
23
-
-
0036055687
-
Orthogonal tensor decompositions
-
Kolda T. G.: Orthogonal tensor decompositions. SIAM J. Matrix Anal. Appl. 23(1), 243-255 (2001).
-
(2001)
SIAM J. Matrix Anal. Appl.
, vol.23
, Issue.1
, pp. 243-255
-
-
Kolda, T.G.1
-
24
-
-
68649096448
-
Tensor decompositions and applications
-
Kolda T. G., Bader B. W.: Tensor decompositions and applications. SIAM Rev. 51(3), 455-500 (2009).
-
(2009)
SIAM Rev.
, vol.51
, Issue.3
, pp. 455-500
-
-
Kolda, T.G.1
Bader, B.W.2
-
25
-
-
0003023917
-
The Convenient Setting of Global Analysis
-
American Mathematical Society, Providence
-
Kriegl, A., Michor, P. W.: The Convenient Setting of Global Analysis. In: Mathematical Surveys and Monographs, vol. 53. American Mathematical Society, Providence (1997).
-
(1997)
Mathematical Surveys and Monographs
, vol.53
-
-
Kriegl, A.1
Michor, P.W.2
-
27
-
-
76549123073
-
The LATIN multiscale computational method and the Proper Generalized Decomposition
-
Ladevèze P., Passieux J.-C., Neron D.: The LATIN multiscale computational method and the Proper Generalized Decomposition. Comput. Methods Appl. Mech. Eng. 199, 1287-1296 (2010).
-
(2010)
Comput. Methods Appl. Mech. Eng.
, vol.199
, pp. 1287-1296
-
-
Ladevèze, P.1
Passieux, J.-C.2
Neron, D.3
-
28
-
-
84963994920
-
Sparse representations in stochastic mechanics
-
In: Papadrakakis, M., Stefanou, G., Papadopoulos, V., (eds.), Springer, Netherlands
-
Matthies, H. G., Zander, E.: Sparse representations in stochastic mechanics. In: Papadrakakis, M., Stefanou, G., Papadopoulos, V., (eds.) Computational Methods in Stochastic Dynamics. Computational Methods in Applied Sciences, vol.~22, pp. 247-265. Springer, Netherlands (2011).
-
(2011)
Computational Methods in Stochastic Dynamics. Computational Methods in Applied Sciences
, vol.22
, pp. 247-265
-
-
Matthies, H.G.1
Zander, E.2
-
30
-
-
34548290926
-
A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations
-
Nouy A.: A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations. Comput. Methods Appl. Mech. Eng. 196(45-48), 4521-4537 (2007).
-
(2007)
Comput. Methods Appl. Mech. Eng.
, vol.196
, Issue.45-48
, pp. 4521-4537
-
-
Nouy, A.1
-
31
-
-
53549096783
-
Generalized spectral decomposition method for solving stochastic finite element equations: invariant subspace problem and dedicated algorithms
-
Nouy A.: Generalized spectral decomposition method for solving stochastic finite element equations: invariant subspace problem and dedicated algorithms. Comput. Methods Appl. Mech. Eng. 197, 4718-4736 (2008).
-
(2008)
Comput. Methods Appl. Mech. Eng.
, vol.197
, pp. 4718-4736
-
-
Nouy, A.1
-
32
-
-
71349087893
-
Recent developments in spectral stochastic methods for the numerical solution of stochastic partial differential equations
-
Nouy A.: Recent developments in spectral stochastic methods for the numerical solution of stochastic partial differential equations. Arch. Comput. Methods Eng. 16, 251-285 (2009).
-
(2009)
Arch. Comput. Methods Eng.
, vol.16
, pp. 251-285
-
-
Nouy, A.1
-
33
-
-
78549263686
-
Proper Generalized Decompositions and separated representations for the numerical solution of high dimensional stochastic problems
-
Nouy A.: Proper Generalized Decompositions and separated representations for the numerical solution of high dimensional stochastic problems. Arch. Comput. Methods Eng. 17, 403-434 (2010).
-
(2010)
Arch. Comput. Methods Eng.
, vol.17
, pp. 403-434
-
-
Nouy, A.1
-
34
-
-
77951238456
-
A priori model reduction through Proper Generalized Decomposition for solving time-dependent partial differential equations
-
Nouy A.: A priori model reduction through Proper Generalized Decomposition for solving time-dependent partial differential equations. Comput. Methods Appl. Mech. Eng. 199, 1603-1626 (2010).
-
(2010)
Comput. Methods Appl. Mech. Eng.
, vol.199
, pp. 1603-1626
-
-
Nouy, A.1
-
35
-
-
84858297620
-
Compact matrix form for the d-dimensional tensor decomposition
-
(submitted). Preprint 2009-1 at IMN Ras Moscow
-
Oseledets, I.: Compact matrix form for the d-dimensional tensor decomposition. SIAM J. Sci. Comp. (submitted). Preprint 2009-1 at IMN Ras Moscow (2009).
-
(2009)
SIAM J. Sci. Comp.
-
-
Oseledets, I.1
-
37
-
-
58149380535
-
Greedy approximation
-
Temlyakov V.: Greedy approximation. Acta Numer. 17, 235-409 (2008).
-
(2008)
Acta Numer.
, vol.17
, pp. 235-409
-
-
Temlyakov, V.1
-
38
-
-
77952096996
-
Well-posedness of convex maximization problems on stiefel manifolds and orthogonal tensor product approximations
-
Uschmajew A.: Well-posedness of convex maximization problems on stiefel manifolds and orthogonal tensor product approximations. Numer. Math. 115, 309-331 (2010).
-
(2010)
Numer. Math.
, vol.115
, pp. 309-331
-
-
Uschmajew, A.1
|