School of Mathematics

Search site

Dr Jonathan A Ward

Lecturer
Applied Mathematics

Contact details

Room: 8.36
Tel: +44 (0)113 3435157
Email: J.A.Ward @ leeds.ac.uk

Keywords

Complex systems
Nonlinear dynamics
Statistical mechanics
Networks and graph theory
Collective human behaviour

Research interests

I'm interested in applications of nonlinear dynamics, network science, graph theory and nonequilibrium statistical mechanics to the study of collective human behaviour and complex systems. I am particularly interested in exploring the interface between mathematics and the social sciences. The increasing popularity of this area is partly due to the explosion of open data sets made available by social media. From the mathematician's perspective, this presents us with opportunities to develop data-driven models and metrics based on scalable algorithms. I actively engage in collaborations with business and industry. Please get in contact if you are interested in finding out more.

Useful links

Personal web page

Current postgraduate students

Andrew Mellor (2013)

Publications

Grindrod P, Higham DJ, Laflin P, Otley A, Ward JA Inverse network sampling to explore online European Journal of Applied Mathematics, 27, 958-970, 2016
DOI:10.1017/S0956792516000085
View abstract

Ward JA, Evans AJ, Malleson NS Dynamic calibration of agent-based models using data assimilation Royal Society Open Science, 3, 2016
DOI:10.1098/rsos.150703
View abstract

Mellor A, Mobilia M, Redner S, Rucklidge AM, Ward JA Influence of Luddism on innovation diffusion Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 92, 2015
DOI:10.1103/PhysRevE.92.012806
View abstract

Ward JA, Grindrod P Aperiodic dynamics in a deterministic adaptive network model of attitude formation in social groups Physica D: Nonlinear Phenomena, 282, 27-33, 2014
DOI:10.1016/j.physd.2014.05.006
View abstract

Haben S, Ward J, Vukadinovic Greetham D, Singleton C, Grindrod P A new error measure for forecasts of household-level, high resolution electrical energy consumption International Journal of Forecasting, 30, 246-256, 2014
DOI:10.1016/j.ijforecast.2013.08.002

Greetham DV; Ward JA Conversations on Twitter: Structure, pace, balanceCEUR Workshop Proceedings, 73-84 2014
View abstract

Gleeson JP, Ward JA, O’Sullivan KP, Lee WT Competition-Induced Criticality in a Model of Meme Popularity Physical Review Letters, 112, 2014
DOI:10.1103/PhysRevLett.112.048701

Melnik S, Ward JA, Gleeson JP, Porter MA Multi-stage complex contagions Chaos: An Interdisciplinary Journal of Nonlinear Science, 23, 013124-013124, 2013
DOI:10.1063/1.4790836

Ward JA, Gleeson JP, Melnik S, Porter MA, Mucha PJ Accuracy of mean-field theory for dynamics on real-world networks Physical Review E, 85, 2012
DOI:10.1103/PhysRevE.85.026106
View abstract

Ward JA, Fowler AC, O'Brien SBG Acid polishing of lead glass Journal of Mathematics in Industry, 1, 1-18, 2011
DOI:10.1186/2190-5983-1-1

Ward JA, Wilson RE Criteria for convective versus absolute string instability in car-following models Proceedings of the Royal Society of London: Mathematical, Physical and Engineering Sciences, 467, 2185-2208, 2011
DOI:10.1098/rspa.2010.0437

Fowler AC, Ward JA, O’Brien SBG A simple model for multicomponent etching Journal of Colloid and Interface Science, 354, 421-423, 2011
DOI:10.1016/j.jcis.2010.10.056

Wilson RE, Ward JA Car-following models: fifty years of linear stability analysis– a mathematical perspective Transportation Planning and Technology, 34, 3-18, 2011
DOI:10.1080/03081060.2011.530826

Ward J, Wilson RE, Berg P Multiscale analysis of a spatially heterogeneous microscopic traffic model Physica D: Nonlinear Phenomena, 236, 1-12, 2007
DOI:10.1016/j.physd.2007.07.008