A robust collision source method for rank adaptive dynamical low-rank approximation in radiation therapy

DOI10.1051/m2an/2022090zbMath1515.65101arXiv2111.07160OpenAlexW3211600616MaRDI QIDQ6041054

Jonas Kusch, Pia Stammer

Publication date: 25 May 2023

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.07160

zbMATH Keywords

kinetic equationsradiation therapymodel order reductiondynamical low-rank approximationrank adaptivity

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Numerical methods for low-rank matrix approximation; matrix compression (65F55)

Related Items (5)

Accelerating the simulation of kinetic shear Alfvén waves with a dynamical low-rank approximation ⋮ Reduced-order modeling of neutron transport eigenvalue problems separated in energy by proper generalized decomposition ⋮ Asymptotic-Preserving and Energy Stable Dynamical Low-Rank Approximation ⋮ A robust and conservative dynamical low-rank algorithm ⋮ A sweep-based low-rank method for the discrete ordinate transport equation

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