90 citations · 1k across the 88 of their papers we have counts for
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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…
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…
Magnus integrators on multicore CPUs and GPUs
N. Auer, L. Einkemmer, P. Kandolf +1
In the present paper we consider numerical methods to solve the discrete Schrödinger equation with a time dependent Hamiltonian (motivated by problems encountered in the study of s…
An exponential integrator for the drift-kinetic model
Nicolas Crouseilles, Lukas Einkemmer, Martina Prugger
We propose an exponential integrator for the drift-kinetic equation in cylindrical geometry. This approach removes the CFL condition from the linear part of the system (which is of…
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…