The PageRank Problem

The thesis is the result of a bachelor research project about Google's PageRank. An analysis of the hyperlink structure of the World Wide Web is made and a model for web surfing studied. Based on this model, some standard methods to compute the PageRank of web pages is investigated. Special attention is given to computing PageRanks by using...

Extensions of the complex Jacobi iteration to simulate photonic wavelength scale components

We have extended the complex Jacobi iteration to simulate nonlinear optical components. The size of these components is comparable to the used wavelength (µm). In this paper we will give an overview of the technique and several simulation results. The algorithm uses a central difference analogue of the Helmholtz equation. The used nonlinearity...