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Reduced Augmentation Implicit Low-Rank (RAIL) Integrators for Advection-Diffusion and Fokker–Planck Models
Joseph Nakao, Jing-Mei Qiu and Lukas Einkemmer SIAM Journal on Scientific Computing 47(2) A1145 (2025) https://doi.org/10.1137/23M1622921
A cross algorithm for implicit time integration of random partial differential equations on low-rank matrix manifolds
Mohammad Hossein Naderi, Sara Akhavan and Hessam Babaee Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 481(2309) (2025) https://doi.org/10.1098/rspa.2024.0658
Asymptotic-Preserving and Energy Stable Dynamical Low-Rank Approximation for Thermal Radiative Transfer Equations
Energy Stable and Conservative Dynamical Low-Rank Approximation for the Su–Olson Problem
Lena Baumann, Lukas Einkemmer, Christian Klingenberg and Jonas Kusch SIAM Journal on Scientific Computing 46(2) B137 (2024) https://doi.org/10.1137/23M1586215
Asymptotic-Preserving and Energy Stable Dynamical Low-Rank Approximation
A Parallel Rank-Adaptive Integrator for Dynamical Low-Rank Approximation
Gianluca Ceruti, Jonas Kusch and Christian Lubich SIAM Journal on Scientific Computing 46(3) B205 (2024) https://doi.org/10.1137/23M1565103
Macro-micro decomposition for consistent and conservative model order reduction of hyperbolic shallow water moment equations: a study using POD-Galerkin and dynamical low-rank approximation
Oblique projection for scalable rank-adaptive reduced-order modelling of nonlinear stochastic partial differential equations with time-dependent bases
M. Donello, G. Palkar, M. H. Naderi, D. C. Del Rey Fernández and H. Babaee Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 479(2278) (2023) https://doi.org/10.1098/rspa.2023.0320
KiT-RT: An Extendable Framework for Radiative Transfer and Therapy
Jonas Kusch, Steffen Schotthöfer, Pia Stammer, Jannick Wolters and Tianbai Xiao ACM Transactions on Mathematical Software 49(4) 1 (2023) https://doi.org/10.1145/3630001
A robust and conservative dynamical low-rank algorithm