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math.NA2025
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
Surrogate modeling of resonant behavior in scattering problems through adaptive rational approximation and sketching
Davide Pradovera, Ralf Hiptmair, Ilaria Perugia
This paper describes novel algorithms for the identification of (almost-)resonant behavior in scattering problems. Our methods, relying on rational approximation, aim at building s…