School of Mathematical Sciences
Faculty of Engineering, Computer and Mathematical Sciences
Eligible to supervise Masters and PhD - email supervisor to discuss availability.
Many systems of interest in science and engineering exist over multiple scales, and the disparate scales of these systems are a significant challenge in numerical simulations. The fine-scale detail is essential to the accurate modelling of a multiscale system, but simulating at the finest scale is not only prohibitively inefficient and severely constrained by memory limitations, it is also an arduous task to analyse simulation data generated at a scale which may be significantly smaller than the scale of interest.
My research investigates different ways of managing the complexities of multiscale systems. For example, patch dynamics is an 'on the fly' numerical scheme which aims to quickly and accurately simulate a multiscale system at the desired scale of interest. I also look at analytic methods for extracting the slow evolution of multiscale models, thus providing a simplified model for more efficient simulation.
Year Citation 2015 Nelson, M., Mallet, D., Pincombe, B., & Bunder, J. (Eds.) (2015). Proceedings of the 12th Engineering Mathematics and Applications Conference, (EMAC2015), Adelaide, December 2015 (Vol. 57). Australian Mathematical Society.
2014 Sharples, J., & Bunder, J. (Eds.) (2014). Proceedings of 17th Computational Techniques and Applications Conference (CTAC2014), Canberra, 1-3 December, 2014. Australian Mathematical Society. 2013 McCue, S., Moroney, T., Mallett, D., & Bunder, J. (Eds.) (2013). Proceedings of 16th Computational Techniques and Applications Conference, ANZIAM J. (CTAC2012), Queensland, 23-26 September, 2012 (Vol. 54). Australian Mathematical Society. 2013 Nelson, M., Bunder, J., Hamilton, T., & Jennings, M. (Eds.) (2013). Proceedings of the 11th Engineering Mathematics and Applications Conference, (EMAC2013), Brisbane, December 2013. Australian Mathematical Society.
2018 Australian Research Council Discovery Project, DP180100050 with Prof. Tony Roberts (Adelaide) and Prof. Yannis Kevrekidis (Johns Hopkins).
Current Higher Degree by Research Supervision (University of Adelaide)
Date Role Research Topic Program Degree Type Student Load Student Name 2018 Co-Supervisor Accurate Multiscale Simulation of Wave-Like Systems Doctor of Philosophy Doctorate Full Time Mr Divahar Jayaraman
Past Higher Degree by Research Supervision (University of Adelaide)
Date Role Research Topic Program Degree Type Student Load Student Name 2012 - 2015 Co-Supervisor Multiscale Modelling of Continuum and Discrete Dynamics in Materials with Complicated Microstructure Doctor of Philosophy Doctorate Full Time Mr Chen Chen
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