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math.NA2024★ 1 cited
Interpolatory dynamical low-rank approximation for the 3+3d Boltzmann-BGK equation
Alec Dektor, Lukas Einkemmer
We introduce two novel interpolatory dynamical low-rank (DLR) approximation methods for the efficient time integration of the Boltzmann-BGK equation. Both methods overcome limitati…
math.NA2024
Collocation methods for nonlinear differential equations on low-rank manifolds
Alec Dektor
We introduce new methods for integrating nonlinear differential equations on low-rank manifolds. These methods rely on interpolatory projections onto the tangent space, enabling lo…