36 citations · 117 across the 8 of their papers we have counts for
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math.NA2017★ 26 cited
Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics
Gino Hrkac, Carl-Martin Pfeiler, Dirk Praetorius +3
We consider the numerical approximation of the Landau-Lifshitz-Gilbert equation, which describes the dynamics of the magnetization in ferromagnetic materials. In addition to the cl…
math.NA2017★ 27 cited
Linear second-order IMEX-type integrator for the (eddy current) Landau-Lifshitz-Gilbert equation
Giovanni Di Fratta, Carl-Martin Pfeiler, Dirk Praetorius +2
Combining ideas from [Alouges et al. (Numer. Math., 128, 2014)] and [Praetorius et al. (Comput. Math. Appl., 2017)], we propose a numerical algorithm for the integration of the non…