In early 2008 a new testing branch of the network analysis software visone has been made publicly available [Baur et al., 2008]. This realease includes the ability to process dynamic networks. A central feature is a dedicated dynamic layout algorithm which we present here from a methological and application oriented point of view. We first describe this algorithm from an algorithmic perspective...

A local convergence analysis of Inexact Newton’s method with relative residual error tolerance for finding a singularity of a differentiable vector field defined on a complete Riemannian manifold, based on majorant principle, is presented in this paper. We prove that under local assumptions, the inexact Newton method with a fixed relative residual error tolerance converges Q -linearly to a sing...

The direct simulation Monte Carlo (DSMC) method is a stochastic approach to solve the Boltzmann equation and is built on various numerical schemes for transport, collision and sampling. This work aims to compare and contrast two popular O(N) DSMC collision schemes no-time-counter (NTC) and majorant collision frequency (MCF) with the goal of identifying the fundamental differences. MCF and NTC s...