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math.NA2025
A Galerkin Alternating Projection Method for Kinetic Equations in the Diffusive Limit
Gianluca Ceruti, Nicolas Crouseilles, Lukas Einkemmer
The numerical approximation of high-dimensional evolution equations poses significant computational challenges, particularly in kinetic theory and radiative transfer. In this work,…
math.NA2025
A low-rank, high-order implicit-explicit integrator for three-dimensional convection-diffusion equations
Joseph Nakao, Gianluca Ceruti, Lukas Einkemmer
This paper presents a rank-adaptive implicit-explicit integrator for the tensor approximation of three-dimensional convection-diffusion equations. In particular, the recently devel…