Corpus ID: 195847999

Error analysis of an asymptotic preserving dynamical low-rank integrator for the multi-scale radiative transfer equation

@article{Ding2019ErrorAO,
  title={Error analysis of an asymptotic preserving dynamical low-rank integrator for the multi-scale radiative transfer equation},
  author={Zhiyan Ding and L. Einkemmer and Qin Li},
  journal={ArXiv},
  year={2019},
  volume={abs/1907.04247}
}
Dynamical low-rank algorithm are a class of numerical methods that compute low-rank approximations of dynamical systems. This is accomplished by projecting the dynamics onto a low-dimensional manifold and writing the solution directly in terms of the low-rank factors. The approach has been successfully applied to many types of differential equations. Recently, efficient dynamical low-rank algorithms have been applied to treat kinetic equations, including the Vlasov--Poisson and the Boltzmann… Expand
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