73 citations · 745 across the 45 of their papers we have counts for
5 papers · 1 filter
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…
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…
On the convergence of Lawson methods for semilinear stiff problems
Marlis Hochbruck, Alexander Ostermann
Since their introduction in 1967, Lawson methods have achieved constant interest in the time discretization of evolution equations. The methods were originally devised for the nume…
Numerical low-rank approximation of matrix differential equations
Hermann Mena, Alexander Ostermann, Lena-Maria Pfurtscheller +1
The efficient numerical integration of large-scale matrix differential equations is a topical problem in numerical analysis and of great importance in many applications. Standard n…
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…