41 citations · 54 across the 5 of their papers we have counts for
5 papers
Axisymmetric solutions in the geomagnetic direction problem
Ralf Kaiser, Tobias Ramming
The magnetic field outside the earth is in good approximation a harmonic vector field determined by its values at the earth's surface. The direction problem seeks to determine harm…
Oscillating solutions of the Vlasov-Poisson system -- A numerical investigation
Tobias Ramming, Gerhard Rein
Numerical evidence is given that spherically symmetric perturbations of stable spherically symmetric steady states of the gravitational Vlasov-Poisson system lead to solutions whic…
Mass-radius spirals for steady state families of the Vlasov-Poisson system
Tobias Ramming, Gerhard Rein
We consider spherically symmetric steady states of the Vlasov-Poisson system, which describe equilibrium configurations of galaxies or globular clusters. If the microscopic equatio…
A kernel-based discretisation method for first order partial differential equations of evolution type
Tobias Ramming, Holger Wendland
We derive a new discretisation method for first order PDEs of arbitrary spatial dimension, which is based upon a meshfree spatial approximation. This spatial approximation is simil…
Spherically symmetric equilibria for self-gravitating kinetic or fluid models in the non-relativistic and relativistic case - A simple proof for finite extension
Tobias Ramming, Gerhard Rein
We consider a self-gravitating collisionless gas as described by the Vlasov-Poisson or Einstein-Vlasov system or a self-gravitating fluid ball as described by the Euler-Poisson or…