73 citations · 745 across the 45 of their papers we have counts for
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math.NA2014★ 49 cited
Overcoming order reduction in diffusion-reaction splitting. Part 1: Dirichlet boundary conditions
Lukas Einkemmer, Alexander Ostermann
For diffusion-reaction equations employing a splitting procedure is attractive as it reduces the computational demand and facilitates a parallel implementation. Moreover, it opens…
math.NA2014★ 5 cited
On the error propagation of semi-Lagrange and Fourier methods for advection problems
Lukas Einkemmer, Alexander Ostermann
In this paper we study the error propagation of numerical schemes for the advection equation in the case where high precision is desired. The numerical methods considered are based…