14 citations · 24 across the 5 of their papers we have counts for
6 papers
Explicit Local Time-Stepping for the Inhomogeneous Wave Equation with Optimal Convergence
Marcus J. Grote, Simon R. J. Michel, Stefan A. Sauter
Adaptivity and local mesh refinement are crucial for the efficient numerical simulation of wave phenomena in complex geometry. Local mesh refinement, however, can impose a tiny tim…
Spin Berry curvature of the Haldane model
Simon Michel, Michael Potthoff
The feedback of the geometrical Berry phase, accumulated in an electron system, on the slow dynamics of classical degrees of freedom is governed by the Berry curvature. Here, we st…
Uncertainty Quantification by MLMC and Local Time-stepping For Wave Propagation
Marcus J. Grote, Simon Michel, Fabio Nobile
Because of their robustness, efficiency and non-intrusiveness, Monte Carlo methods are probably the most popular approach in uncertainty quantification to computing expected values…
Non-Hamiltonian dynamics of indirectly coupled classical impurity spins
Simon Michel, Michael Potthoff
We discuss the emergence of an effective low-energy theory for the real-time dynamics of two classical impurity spins within the framework of a prototypical and purely classical mo…
Stabilized leapfrog based local time-stepping method for the wave equation
Marcus J. Grote, Simon Michel, Stefan Sauter
Local time-stepping methods permit to overcome the severe stability constraint on explicit methods caused by local mesh refinement without sacrificing explicitness. In \cite{DiazGr…
Topological spin torque emerging in classical-spin systems with different time scales
Michael Elbracht, Simon Michel, Michael Potthoff
In classical spin systems with two largely different inherent time scales, the configuration of the fast spins almost instantaneously follows the slow-spin dynamics. We develop the…