33 citations · 62 across the 26 of their papers we have counts for
3 papers · 2 filters
Iterative thresholding low-rank time integration
Markus Bachmayr, Matthieu Dolbeault, Polina Sachsenmaier
We develop time integration methods in low-rank representation that can adaptively adjust approximation ranks to achieve a prescribed accuracy, while ensuring that these ranks rema…
Sparse and low-rank approximations of parametric elliptic PDEs: the best of both worlds
Markus Bachmayr, Huqing Yang
A new approximation format for solutions of partial differential equations depending on infinitely many parameters is introduced. By combining low-rank tensor approximation in a se…
Adaptive stochastic Galerkin finite element methods: Optimality and non-affine coefficients
Markus Bachmayr, Henrik Eisenmann, Igor Voulis
Near-optimal computational complexity of an adaptive stochastic Galerkin method with independently refined spatial meshes for elliptic partial differential equations is shown. The…