Issues 1-2

Solving ODEs, DA O AEs, DDE and PD in R

Issues 1-2 Volume 06

Karline Soetaert Centre for Estuarine and Marine Ecology, Netherlands Institute of Ecology, 4401 NT Yerseke, The Netherlands Thomas Petzoldt Institut fur Hydrobiologie Technische Universitat Dresden 01062 Dresden, Germany Received 21 February, 2011; accepted in revised form 11 March, 2011 Abstract: The open-source problem solving software R [1] has become one of the most widely used […]

A Matrix Method for the Solution of Sturm-Liouville Problems

Issues 1-2 Volume 06

Pierluigi Amodio , Giuseppina Settanni Dipartimento di Matematica, Universita di Bari, I-70125 Bari, Italy Received 22 February, 2011; accepted in revised form 13 March, 2011 Abstract: We investigate the numerical solution of regular and singular Sturm-Liouville problems by means of finite difference schemes of high order. In particular, a set of differ- ence schemes is

Error Estimation via Defect Computation and Reconstruction: Some Particular Techniques

Issues 1-2 Volume 06

W. Auzinger Institute for Analysis and Scientific Computing, Vienna University of Technology, 1040 Vienna, Austria Received 20 February, 2011; accepted in revised form 10 March, 2011 Abstract: The well-known technique of defect correction can be used in various ways for estimating local or global errors of numerical approximations to differential or integral equations. In this

Random Walks on Complex Modular Networks

Issues 1-2 Volume 06

Natasa Djurdjevac , Sharon Bruckner, Tim OF Conrad, Christof Schuette Fachbereich Mathematik und Informatik Institut fuer Mathematik Freie Universitaet Berlin {djurdjev,sharonb,conrad,schuette} Received 20 February, 2011; accepted in revised form 10 March, 2011 Abstract: Complex modular networks appear frequently, notably in the biological or social sciences. We focus on two current challenges regarding network modularity: the

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