3 papers
math.NA2026
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…
math.AP2025
A variational Lippmann-Schwinger-type approach for the Helmholtz impedance problem on bounded domains
Andreas Tataris, Alexander V. Mamonov
Recently, reduced order modeling methods have been applied to solving inverse boundary value problems arising in frequency domain scattering theory. A key step in projection-based…
math.NA2025
Inverse scattering for Schrödinger equation in the frequency domain via data-driven reduced order modeling
Andreas Tataris, Tristan van Leeuwen, Alexander V. Mamonov
In this paper we develop a numerical method for solving an inverse scattering problem of estimating the scattering potential in a Schrödinger equation from frequency domain measur…