33 citations · 62 across the 26 of their papers we have counts for
Showing 2023 · math.NAShow all
2 papers · 2 filters
math.NA2023★ 1 cited
Dynamical low-rank tensor approximations to high-dimensional parabolic problems: existence and convergence of spatial discretizations
Markus Bachmayr, Henrik Eisenmann, André Uschmajew
We consider dynamical low-rank approximations to parabolic problems on higher-order tensor manifolds in Hilbert spaces. In addition to existence of solutions and their stability wi…
math.NA2023
A space-time adaptive low-rank method for high-dimensional parabolic partial differential equations
Markus Bachmayr, Manfred Faldum
An adaptive method for parabolic partial differential equations that combines sparse wavelet expansions in time with adaptive low-rank approximations in the spatial variables is co…