Imaginary time propagation code for large-scale two-dimensional eigenvalue problems in magnetic fields

Large - Scale Eigenvalue Problems in Structural Dynamics

Two-dimensional colloidal systems in time-dependent magnetic fields

We use super-paramagnetic colloidal particles confined by gravitation to a flat water-air interface as a model system to study the non-equilibrium liquid-solid phase transition in two dimensions. The system temperature is adjustable by changing the strength of an external magnetic field perpendicular to the water-air interface. Increasing the magnetic field on a timescale of milliseconds quench...

Accretion Disks in Large-scale Magnetic Fields

This paper presents a survey of a set of simulations of accretion disks orbiting a rapidly rotating Kerr black hole and embedded in a large-scale initial magnetic field. Each simulation uses a common state for the initial torus, including an MRI seed-field consisting of poloidal loops along isodensity contours, and differ only in the strength of the initial large-scale magnetic field in relatio...

Iterative Projection Methods for Large–scale Nonlinear Eigenvalue Problems

In this presentation we review iterative projection methods for sparse nonlinear eigenvalue problems which have proven to be very efficient. Here the eigenvalue problem is projected to a subspace V of small dimension which yields approximate eigenpairs. If an error tolerance is not met then the search space V is expanded in an iterative way with the aim that some of the eigenvalues of the reduc...

Computation of Pseudospectral Abscissa for Large Scale Nonlinear Eigenvalue Problems

We present an algorithm to compute the pseudospectral abscissa for a nonlinear eigenvalue problem. The algorithm relies on global under-estimator and over-estimator functions for the eigenvalue and singular value functions involved. These global models follow from eigenvalue perturbation theory. The algorithm has three particular features. First, it converges to the globally rightmost point of ...