Tensor networks and hierarchical tensors for the solution of high-dimensional partial differential equations, Foundations of Computational Mathematics, vol.16, pp.1423-1472, 2016. ,
Hierarchical tensor approximation of output quantities of parameter-dependent PDEs, SIAM/ASA Journal on Uncertainty Quantification, vol.3, pp.852-872, 2015. ,
, Hierarchical matrices, 2008.
, Hierarchical matrices, 2008.
, Spectral theory and differential operators, 2018.
Approximation and entropy numbers of sobolev embeddings over domains with finite measure, The Quarterly Journal of Mathematics, pp.385-394, 1990. ,
A dynamical adaptive tensor method for the vlasov-poisson system, JCP, pp.285-306, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01335507
A continuous analogue of the tensor-train decomposition, Computer Methods in Applied Mechanics and Engineering, vol.347, pp.59-84, 2019. ,
A literature survey of low-rank tensor approximation techniques, vol.36, pp.53-78, 2013. ,
Tensor spaces and numerical tensor calculus, vol.42, 2012. ,
, Hierarchical matrices: algorithms and analysis, vol.49, 2015.
Tensor-product approximation to operators and functions in high dimensions, Journal of Complexity, vol.23, pp.697-714, 2007. ,
Structured data-sparse approximation to high order tensors arising from the deterministic boltzmann equation, Mathematics of computation, vol.76, pp.1291-1315, 2007. ,
Tensors-structured numerical methods in scientific computing: Survey on recent advances, vol.110, pp.1-19, 2012. ,
, Tensor decompositions and applications, SIAM review, vol.51, pp.455-500, 2009.
Low-rank tensor krylov subspace methods for parametrized linear systems, SIAM Journal on Matrix Analysis and Applications, vol.32, pp.1288-1316, 2011. ,
Tensor-train decomposition, SIAM Journal on Scientific Computing, vol.33, pp.2295-2317, 2011. ,
Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs, Acta Numerica, vol.20, pp.291-467, 2011. ,