This $219,782 Project Grant awarded by the National Science Foundation (NSF) Division of Mathematical Sciences aims to develop innovative and robust numerical methods for simulating high-frequency electric charge transport phenomena. The research program under this 3-year award from September 2024 to August 2027 will advance space and time discretization techniques for hydrodynamic models of electric charge transport, such as the Euler-Maxwell and Euler-Poisson systems. The resulting numerical methods will be implemented using the open-source deal.II software library and will contribute to a new graduate-level course to train students on the technological applications of these models. This work has the potential to enhance predictive capabilities in the design of novel semiconductor devices, directed energy systems, and other technologies reliant on high-frequency electric charge transport.
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