5 papers
A hierarchical splitting approach for N-split differential equations
Kevin Schäfers, Michael Günther
We propose a hierarchical splitting approach to differential equations that provides a design principle for constructing splitting methods for -split systems by iteratively appl…
Numerical stability of force-gradient integrators and their Hessian-free variants in lattice QCD simulations
Kevin Schäfers, Jacob Finkenrath, Michael Günther +1
A comprehensive linear stability analysis of force-gradient integrators and their Hessian-free variants is carried out by investigating the harmonic oscillator as a test equation.…
A modified Cayley transform for SU(3) molecular dynamics simulations
Kevin Schäfers, Michael Peardon, Michael Günther
We propose a modification to the Cayley transform that defines a suitable local parameterization for the special unitary group . The new mapping is used to construc…
Hessian-free force-gradient integrators
Kevin Schäfers, Jacob Finkenrath, Michael Günther +1
We propose a new framework of Hessian-free force-gradient integrators that do not require the analytical expression of the force-gradient term based on the Hessian of the potential…
Operator splitting for coupled linear port-Hamiltonian systems
Jan Lorenz, Tom Zwerschke, Michael Günther +1
Operator splitting methods tailored to coupled linear port-Hamiltonian systems are developed. We present algorithms that are able to exploit scalar coupling, as well as multirate p…