Dr. David A. W. Barton
Lecturer

Department of Engineering Mathematics,
University of Bristol,
Queen's Building, University Walk,
Bristol, BS8 1TR
United Kingdom

Office number: 2.43 Queen's Building (next door to 2.1)
Telephone: +44 (0)117 3315613
Email: david.barton@bristol.ac.uk

I'm currently a lecturer in the Department of Engineering Mathematics at the University of Bristol and affiliated to the Applied Nonlinear Mathematics research group.

I have a broad range of research interests across the field of applied mathematics, but I focus particularly on engineering related applications. My specialities include

• mathematical modelling (mostly engineering related, but I enjoy broader challenges),
• the dynamics of nonlinear systems,
• systems with delay (mostly delay differential equations), and
• numerical methods for dynamical systems (particularly in the area of bifurcation analysis).

In the context of engineering, I also work on energy harvesting.

At the moment, I am looking to branch out into stochastic dynamics and, in particular, how traditional numerical algorithms for dynamical systems can be made to cope with stochastic systems.

If you are interested in working with me on any of these topics, please feel free to drop me an email. See below for my contact details.

• November 2009 - March 2010: Visiting scholar (Mechanical Engineering, Duke University) supported by EPSRC grant EP/H018107/1.
• November 2007 - November 2010: Research fellow (Engineering Maths, Bristol University) supported by Great Western Research.
• October 2006 - November 2007: Research fellow (Engineering Maths, Bristol University) supported by the Lloyds Tercentenary Foundation.

I am currently seeking potential students for PhD projects related to my research interests (above). See potential PhD projects for more information.

If you are part of a company interested in research topics related to engineering mathematics (defined quite broadly; see my research interests above), the Department of Engineering Mathematics hold several EPSRC mathematics CASE awards which enable PhD students to research a topic of industrial relevance. (Note: the link supplied is for Industrial CASE awards, which are not quite the same as Mathematics CASE awards.) These awards require £10 500 in industrial funding (over 3.5 years) from the interested party, giving the company access to a research student for 3.5 years along with the expertise of the academic supervisor. For more information please get in touch with me.

• Andrea Cammarano: co-supervised with Steve Burrow on Energy harvesting: vibration powered generators with non-linear compliance.

• Matthew Dawson: on Energy harvesting with multi-degree-of-freedom devices.
• Daniel Hewitt: co-supervised with Steve Burrow on Algorithm development and real-time implementation of health and usage monitoring systems of rotary wing aircraft (EPSRC Mathematics CASE award).
• Lara Gosce: co-supervised with Anders Johansson on Modelling human mobility in the context of disease spreading.
• Adam Zienkiewicz: co-supervised with Mario di Bernardo and Maurizo Porfiri on Analysis and control of complex networks via multiscale methods.

For a list of my publications (with download links) see my publications page.

For a list of my speaking engagements, see my talks page. (This is mostly for my own records.)