3 papers
math.OC2026
Time-Dependent PDE-Constrained Optimization via Weak-Form Latent Dynamics
April Tran, Terry Haut, David Bortz +1
Optimization problems constrained by high-dimensional, time-dependent partial differential equations require repeated forward and sensitivity solves, making high-fidelity optimizat…
math.NA2026
Domain decomposition dynamical low-rank for multi-dimensional radiative transfer equations
Stefan Brunner, Lukas Einkemmer, Terry Haut
In this paper, we propose a domain decomposition dynamical low-rank method to solve high-dimensional radiative transfer problems and similar kinetic equations. The algorithm uses a…
math.NA2026
Efficient SN-like and PN-like Dynamic Low Rank methods for Thermal Radiative Transfer
Terry Haut, John Loffeld, Lukas Einkemmer +3
Dynamic Low Rank (DLR) methods are a promising way to reduce the computational cost and memory footprint of the high-dimensional thermal radiative transfer (TRT) equations. The TRT…