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math.AP2026
Cartesian PML truncation for the Helmholtz equation is exponentially accurate at high frequency
Martin Averseng, Jeffrey Galkowski, Euan A. Spence
For a wide class of Helmholtz scattering problems (namely, those fitting in the black-box framework of Sjöstrand--Zworski) we prove that the error incurred by approximating the rad…
math.AP2026
1D Scattering through time dependent media with memory
Jeffrey Galkowski, Zhen Huang, Maciej Zworski
We construct a scattering matrix with operator valued entries describing solutions to the 1+1 wave equation where permittivities has memory and depends on time and space. It is the…