90 citations · 1k across the 88 of their papers we have counts for
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math.NA2017★ 9 cited
Efficient boundary corrected Strang splitting
Lukas Einkemmer, Martina Moccaldi, Alexander Ostermann
Strang splitting is a well established tool for the numerical integration of evolution equations. It allows the application of tailored integrators for different parts of the vecto…
math.NA2017★ 12 cited
An adaptive step size controller for iterative implicit methods
Lukas Einkemmer
The automatic selection of an appropriate time step size has been considered extensively in the literature. However, most of the strategies developed operate under the assumption t…
math.NA2017★ 5 cited
A split step Fourier/discontinuous Galerkin scheme for the Kadomtsev--Petviashvili equation
Lukas Einkemmer, Alexander Ostermann
In this paper we propose a method to solve the Kadomtsev--Petviashvili equation based on splitting the linear part of the equation from the nonlinear part. The linear part is treat…