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math.NA2024
Structure-preserving neural networks for the regularized entropy-based closure of the Boltzmann moment system
Steffen Schotthöfer, M. Paul Laiu, Martin Frank +1
The main challenge of large-scale numerical simulation of radiation transport is the high memory and computation time requirements of discretization methods for kinetic equations.…
math.NA2024
Asymptotic-preserving and energy stable dynamical low-rank approximation for thermal radiative transfer equations
Chinmay Patwardhan, Martin Frank, Jonas Kusch
The thermal radiative transfer equations model temperature evolution through a background medium as a result of radiation. When a large number of particles are absorbed in a short…
math.NA2024
Numerical simulation of endovascular treatment options for cerebral aneurysms
Martin Frank, Fabian Holzberger, Medeea Horvat +7
Predicting the long-term success of endovascular interventions in the clinical management of cerebral aneurysms requires detailed insight into the patient-specific physiological co…