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math.FA2018
Singular Value Decomposition in Sobolev Spaces: Part I
Mazen Ali, Anthony Nouy
A well known result from functional analysis states that any compact operator between Hilbert spaces admits a singular value decomposition (SVD). This decomposition is a powerful t…
math.NA2018
HT-AWGM: A Hierarchical Tucker-Adaptive Wavelet Galerkin Method for High Dimensional Elliptic Problems
Mazen Ali, Karsten Urban
This paper is concerned with the construction, analysis and realization of a numerical method to approximate the solution of high dimensional elliptic partial differential equation…