3 papers
math.NA2026
Bifurcations in Interior Transmission Eigenvalues: Theory and Computation
Davide Pradovera, Alessandro Borghi, Lukas Pieronek +1
The interior transmission eigenvalue problem (ITP) plays a central role in inverse scattering theory and in the spectral analysis of inhomogeneous media. Despite its smooth depende…
math.NA2025
Data-driven optimal approximation on Hardy spaces in simply connected domains
Alessandro Borghi, Tobias Breiten
We consider optimal interpolation of functions analytic in simply connected domains in the complex plane. By choosing a specific structure for the approximant, we show that the res…
math.NA2025
Balanced truncation with conformal maps
Alessandro Borghi, Tobias Breiten, Serkan Gugercin
We consider the problem of constructing reduced models for large scale systems with poles in general domains in the complex plane (as opposed to, e.g., the open left-half plane or…