Professor Turner received his PhD in Mechanical Engineering from the University of Queensland in 1991. In 2010 he was awarded the degree of Doctor of Science from the Queensland University of Technology (QUT). He currently has a full-time research and teaching position at QUT, where his employment first commenced as a lecturer in 1991.
Ian’s more recent roles at QUT include:
2016-present Professor; Academic Program Director for Dean’s Scholars
2012-2015 Head of School of Mathematical Sciences
2009-2011 Head of Discipline of Mathematical Sciences
2009-2009 Acting Head of School of Mathematical Sciences
2007-2009 School Director of Research, Mathematical Sciences.
Professor Turner’s multidisciplinary research highlights the applicability of computational and applied mathematics to important environmental problems such as the drying of Australian softwood and hardwood species, saltwater intrusion in Queensland coastal aquifers, and the prediction of gas composition in a coal seam gas field in the Surat Basin.
Ian’s research demonstrates a strong interaction with industry, having worked with drying engineers at the Department of Agriculture and Fisheries (DAF), and hydrologists and computational modellers at the Department of Natural Resources and Mines. This work is ongoing, and these research initiatives are being developed further through collaboration and jointly supervised PhD projects.
He has also collaborated widely with various local industries and government organisations (for example CSIRO, DNRM and DAF) through commercial research opportunities and ARC Linkage grants.
Ian has received international recognition for his research in the form of awards for best research papers in:
certificates of merit for his extensive contributions in modeling the drying process
invitations as keynote speaker at national and international conferences/workshops
invited professor/researcher positions at universities in Europe
invitations to co-edit a book dedicated to numerical methods for the drying process and to contribute chapters to other books.
National Leadership Roles
2012. Chair of the 2012 Computational Techniques and Applications Conference (CTAC), QUT.
2004-2008. Chair of the national executive of the Computational Mathematics Group, which oversees the enhancement of computational mathematics within Australia.
Ian has organised and chaired national postgraduate student forums on advanced computation for the Australian Partnership for Advanced Computing, for example the successful Summer Workshop in Computational Science held at QUT in 2006, which saw around 50 postgraduate students from around Australia attend.
In 2010 he was appointed as Associate Editor of the international Journal Applied Mathematical Modelling and then joined the Editorial Board in 2013.
Investigation and development of virtual log models for Southern Pines will be based on analysis of data from the cores, peeled billets and approximately 60 sawn logs. We plan to predict log and stem wood properties from the breast height cores taken in the field study. Following this, applied mathematics will be used to investigate the processing of these virtual logs and predict properties for the virtual boards ‘sawn’ from these logs.
Prechtl’s Method on the Qualitative Assessment of General Movement (GMsA) of infants (Alexander et al., 1993, Darsaklis et al., 2011, Einspieler, 2004, Haywood and Getchell, 2009, Piek, 2006) is one method of early prediction of neurodevelopmental outcomes in infants. This movement assessment uses video recordings and the naked eye of the assessor and has established 2 distinct movement classifications (Writhing and Fidgeting) which occur in healthy infants aged from term to 1 month and 3 months, respectively.
Cusimano, N., Burrage K., Turner I., & Kay D.
(2017). On reflecting boundary conditions for space-fractional equations on a finite interval: Proof of the matrix transfer technique. Applied Mathematical Modelling. 554-565. doi: 10.1016/j.apm.2016.10.021
Cusimano, N., Burrage K., Turner I., & Kay D.
(2017). On reflecting boundary conditions for space-fractional equations on a finite interval: Proof of the matrix transfer technique. Applied Mathematical Modelling. 42, 554–565. doi: 10.1016/j.apm.2016.10.021
Chen, S., Liu F., Jiang X., Turner I., & Burrage K.
(2016). Fast finite difference approximation for identifying parameters in a two-dimensional space-fractional nonlocal model with variable diffusivity coefficients. SIAM Journal on Numerical Analysis. 54(2), 606-624. doi: 10.1137/15M1019301
Zhao, Y., Zhang Y., Liu F., Turner I., Tang Y., & Anh V.
(2016). Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations. Computers & Mathematics with Applications. doi: 10.1016/j.camwa.2016.05.005
Yuan, Z. B., Nie Y. F., Liu F., Turner I., Zhang G. Y., & Gu Y. T.
(2016). An advanced numerical modeling for Riesz space fractional advection–dispersion equations by a meshfree approach. Applied Mathematical Modelling. 40(17-18), 7816-7829. doi: 10.1016/j.apm.2016.03.036
Carr, E. J., Perré P., & Turner I.
(2016). The extended distributed microstructure model for gradient-driven transport: A two-scale model for bypassing effective parameters. Journal of Computational Physics. 327, 810-829. doi: 10.1016/j.jcp.2016.10.004
Qin, S., Liu F., Turner I., Yu Q., Yang Q., & Vegh V.
(2016). Characterization of anomalous relaxation using the time-fractional Bloch equation and multiple echo T *-weighted magnetic resonance imaging at 7 T . Magnetic Resonance in Medicine. doi: 10.1002/mrm.26222
Redman, A. L., Bailleres H., Turner I., & Perré P.
(2016). Characterisation of wood–water relationships and transverse anatomy and their relationship to drying degrade. Wood Science and Technology. 50(4), 739-757. doi: 10.1007/s00226-016-0818-0
Carr, E. J., & Turner I.
(2016). A semi-analytical solution for multilayer diffusion in a composite medium consisting of a large number of layers. Applied Mathematical Modelling. 40(15-16), 7034-7050. doi: 10.1016/j.apm.2016.02.041
Zhao, Y. M., Zhang Y. D., Liu F., Turner I., & Shi D. Y.
(2016). Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation. Applied Mathematical Modelling. 40(19-20), 8810-8825. doi: 10.1016/j.apm.2016.05.039
Dorr, G. J., Forster W. A., Mayo L. C., McCue S. W., Kempthorne D. M., Hanan J., et al.
(2016). Spray retention on whole plants: modelling, simulations and experiments. Crop Protection. 88, 118-130. doi: 10.1016/j.cropro.2016.06.003
Zhao, Y., Zhang Y., Shi D., Liu F., & Turner I.
(2016). Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations. Applied Mathematics Letters. 59, 38-47. doi: 10.1016/j.aml.2016.03.005
Zhuang, P., Liu F., Turner I., & Anh V.
(2015). Galerkin finite element method and error analysis for the fractional cable equation. Numerical Algorithms. 72(2), 447-466. doi: 10.1007/s11075-015-0055-x
Cusimano, N., Bueno-Orovio A., Turner I., Burrage K., & Talkachova A.
(2015). On the Order of the Fractional Laplacian in Determining the Spatio-Temporal Evolution of a Space-Fractional Model of Cardiac Electrophysiology. PLOS ONE. 10(12), doi: 10.1371/journal.pone.0143938
Liu, F., Zhuang P., Turner I., Anh V., & Burrage K.
(2015). A semi-alternating direction method for a 2-D fractional FitzHugh–Nagumo monodomain model on an approximate irregular domain. Journal of Computational Physics. 293, 252-263. doi: 10.1016/j.jcp.2014.06.001
Zheng, M., Liu F., Turner I., & Anh V.
(2015). A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker--Planck Equation. SIAM Journal on Scientific Computing. 37(2), doi: 10.1137/140980545
Chen, S., Jiang X., Liu F., & Turner I.
(2015). High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation. Journal of Computational and Applied Mathematics. 278, 119-129. doi: 10.1016/j.cam.2014.09.028
Kempthorne, D. M., Turner I., Belward J. A., McCue S. W., Barry M., Young J., et al.
(2015). Surface reconstruction of wheat leaf morphology from three-dimensional scanned data. Functional Plant Biology. 42(5), 444. doi: 10.1071/FP14058
Zeng, F., Li C., Liu F., & Turner I.
(2015). Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy. SIAM Journal on Scientific Computing. 37(1), doi: 10.1137/14096390X
Hu, X., Liao H-L., Liu F., & Turner I.
(2015). A center Box method for radially symmetric solution of fractional subdiffusion equation. Applied Mathematics and Computation. 257, 467-486. doi: 10.1016/j.amc.2015.01.015
Yu, Q., Vegh V., Liu F., Turner I., & Liu H.
(2015). A Variable Order Fractional Differential-Based Texture Enhancement Algorithm with Application in Medical Imaging. PLOS ONE. 10(7), doi: 10.1371/journal.pone.0132952
Hu, X., Liu F., Turner I., & Anh V.
(2015). An implicit numerical method of a new time distributed-order and two-sided space-fractional advection-dispersion equation. Numerical Algorithms. 72(2), 393-407. doi: 10.1007/s11075-015-0051-1
Liu, Q., Liu F., Gu Y.T., Zhuang P., Chen J., & Turner I.
(2015). A meshless method based on Point Interpolation Method (PIM) for the space fractional diffusion equation. Applied Mathematics and Computation. 256, 930-938. doi: 10.1016/j.amc.2015.01.092
Kempthorne, D. M., Turner I., & Belward J. A.
(2014). A Comparison of Techniques for the Reconstruction of Leaf Surfaces from Scanned Data. SIAM Journal on Scientific Computing. 36(6), doi: 10.1137/130938761
Zeng, F., Liu F., Li C., Burrage K., Turner I., & Anh V.
(2014). A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation. SIAM Journal on Numerical Analysis. 52(6), 2599-2622. doi: 10.1137/130934192
Ye, H., Liu F., Anh V., & Turner I.
(2014). Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains. IMA Journal of Applied Mathematics. 80(3), 825-838. doi: 10.1093/imamat/hxu015