27 citations · 41 across the 4 of their papers we have counts for
3 papers · 1 filter
Model order reduction of parametric dynamical systems by slice sampling tensor completion
Alexander V. Mamonov, Maxim A. Olshanskii
Recent studies have demonstrated the great potential of reduced order modeling for parametric dynamical systems using low-rank tensor decompositions (LRTD). In particular, within t…
Reduced order model approach for imaging with waves
Liliana Borcea, Josselin Garnier, Alexander V. Mamonov +1
We introduce a novel, computationally inexpensive approach for imaging with an active array of sensors, which probe an unknown medium with a pulse and measure the resulting waves.…
Untangling the nonlinearity in inverse scattering with data-driven reduced order models
Liliana Borcea, Vladimir Druskin, Alexander V. Mamonov +1
The motivation of this work is an inverse problem for the acoustic wave equation, where an array of sensors probes an unknown medium with pulses and measures the scattered waves. T…