Organizers of this minisymposium are
Recent advances in electron microscopy rely on increasingly accurate models of electron-matter interaction, ranging from fully quantum dynamical descriptions to high-frequency and semiclassical wave propagation. These models pose significant analytical and computational challenges, including multiscale behavior, high dimensionality, and the need for stable and efficient numerical schemes.
This minisymposium aims to bring together researchers working on numerical methods for quantum and wave-based models arising in electron microscopy and related imaging modalities. Topics of interest include Schrödinger-type equations, semiclassical and Gaussian wave packet methods, high-frequency asymptotics, inverse problems, and structure-preserving time integration. A particular focus will be on the interplay between physical modeling and numerical analysis, such as the treatment of ill-conditioning, adaptivity, and reduced-order representations. The session will highlight recent developments in both forward simulation and reconstruction techniques, and explore connections to broader areas such as wave propagation, optimal transport, and multiscale methods. By combining perspectives from applied mathematics, computational physics, and imaging science, the minisymposium aims to foster exchange between communities and identify emerging challenges in the numerical treatment of quantum and wave phenomena in microscopy.