189 citations · 595 across the 24 of their papers we have counts for
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math.NA2014★ 72 cited
A semi-Lagrangian Vlasov solver in tensor train format
Katharina Kormann
In this article, we derive a semi-Lagrangian scheme for the solution of the Vlasov equation represented as a low-parametric tensor. Grid-based methods for the Vlasov equation have…
math.NA2014★ 26 cited
Stable difference methods for block-oriented adaptive grids
Anna Nissen, Katharina Kormann, Magnus Grandin +1
In this paper, we present a block-oriented scheme for adaptive mesh refinement based on summation-by-parts (SBP) finite difference methods and simultaneous-approximation-term (SAT)…