School of Mathematical Sciences
Faculty of Engineering, Computer and Mathematical Sciences
Eligible to supervise Masters and PhD (as Co-Supervisor) - email supervisor to discuss availability.
I am a postdoc at U. Adelaide, working with Tony Roberts and Judy Bunder on patch dynamics and `equation free' methods; that is, on the simulation of processes that evolve on multiple time and spatial scales, and for which advanced numerical methods are needed.
These methods typically mimic an analytic closure for a multiscale system, but do not require that the analytic result is computable; instead short `bursts' of the system at high fidelity are used to estimate the needed information.
My other interest is data assimilation, which was the topic of my previous postdoc at UNC. I am interested in the development of novel algorithms that bypass the usual restrictions imposed by the dimension of the forecast model, or data, by exploiting lower dimensional structures in either or both.
For access to preprints, please follow the arXiv link below `External Profiles', at the bottom of the page.
Year Citation 2017 Maclean, J., Santitissadeekorn, N., & Jones, C. K. (2017). A coherent structure approach for parameter estimation in Lagrangian Data Assimilation. Physica D: Nonlinear Phenomena, 360, 36-45.
2015 Maclean, J., & Gottwald, G. (2015). On convergence of higher order schemes for the projective integration method for stiff ordinary differential equations. Journal of Computational and Applied Mathematics, 288, 44-69.
2015 Maclean, J. (2015). A NOTE ON IMPLEMENTATIONS OF THE BOOSTING ALGORITHM AND HETEROGENEOUS MULTISCALE METHODS. SIAM JOURNAL ON NUMERICAL ANALYSIS, 53(5), 2472-2487.
2014 Maclean, J., & Gottwald, G. (2014). On convergence of the projective integration method for stiff ordinary differential equations. Communications in Mathematical Sciences, 12(2), 235-255.
— Maclean, J., & Vleck, E. S. V. (n.d.). Projected Data Assimilation.
Year Citation 2019 Budhiraja, A., Friedlander, E., Guider, C., Jones, C. K., & Maclean, J. (2019). Assimilating Data into Models. In A. E. Gelfand, M. Fuentes, J. A. Hoeting, & R. L. Smith (Eds.), Handbook of Environmental and Ecological Statistics (1 ed., pp. 687-708). Florida; USA: CRC Press.
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