Applied and Computational Mathematics
- Professor Ian Turner
Science and Engineering Faculty,
Applied and Computational Mathematics
- Discipline *
- Numerical and Computational Mathematics, Applied Mathematics
- +61 7 3138 2259
- +61 7 3138 2310
- View location details (QUT staff and student access only)
- Identifiers and profiles
PhD (University of Queensland), MAppSc (Queensland Inst. of Technology), BAppSc (Queensland Inst. of Technology)
- Professional memberships
- Member of the Australian Mathematical Society
- Previous chair of the national executive of the Computational Mathematics Group which oversees the enhancement of computational mathematics within Australia
computational electromagnetics, computational mathematics, computational modelling of porous media, drying process-modelling, linear algebra, numerical analysis, sality modelling, scientific computation, supercomputing
Professional and academic background
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 drying, saltwater intrusion in coastal aquifers, and the prediction of gas composition in a coal seam gas field. 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:
- international journals
- 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.
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.
Since 2000, Professor Turner has received funding accolades for his research, including:
- first named chief investigator (CI) on three Australian Research Council (ARC) Discovery grants ($185K, $360K and $347)
- named CI of the ARC Centre of Excellence for Mathematical and Statistical Frontiers of Big Data, Big Models, New Insights CE14
- CI on LE13 (LIEF) FlashLite: A High Performance Machine for Data Intensive Science
- received an ARC LIEF grant ($1.1 million)
- ARC Linkage grant ($440K)
- second named CI on two ARC Large/Discovery grants (totaling over $300K)
- fourth named CI on an ARC Linkage grant
- CI on five ARC SPIRT/Linkage grants (totaling over $1 million)
- CI on three grants from the Queensland Cyber Infrastructure Foundation ($130K).
According to the Essential Science Indicators, Professor Turner has 8 papers in the QUT list of 77 top papers. In terms of the total number of citations, he is ranked as number 447 in mathematics in the world, with 436 citations and average citations per paper of 20.76.
According to Scopus, 202 of his publications have been cited since 1986, leading to a total of 4,352 citations and an h–index of 33 with a total of 125 co-authors.
According to Google Scholar he has 7,408 citations with an h-index of 44 and an i10-index of 145.
Leadership in learning and teaching
- 2016: Vice Chancellors Award for Excellence in the Senior Staff Category for his exemplary and sustained leadership
- 2014: Vice-Chancellor’s Performance Award in recognition of a significant and superior contribution to the work of the university
- 2006: QUT award for excellent teaching by an academic in 2006
- 2004: Dean’s Science Faculty Award for Outstanding Academic Leadership
Over his career, Ian has acted as principal supervisor for 11 PhD students, 2 Masters by research students and has acted as associate supervisor for more than 20 students.
Professor Turner’s undergraduate units regularly top the list in the School’s formal survey responses from students.
- computational mathematics
- linear algebra.
Areas of expertise
- numerical solution of partial differential equations
- numerical linear algebra
- computational modelling in porous media
- finite volume methods
- krylov subspace methods.
Professor Turner’s main research interests are in the fields of computational mathematics and numerical analysis, where he has over thirty years of experience in the solution of systems of coupled, nonlinear partial differential equations that govern flow in heterogeneous porous media.
Together with his colleague Professor Patrick Perré from the University of Paris-Saclay, he has made significant contributions to modelling the drying of wood. As a result of this collaboration, drying practitioners in France and Australia have used the TRANSPORE model to design optimal drying schedules for softwood.
Recently, Professor Turner has developed an international reputation in the numerical solution of fractional partial differential equations, having published along with his coworkers, more than 60 papers in international journals over the last ten years in this field.
He is an expert in finite-volume methods and also has an excellent knowledge of numerical linear algebra and its applicability and importance to solving problems in applied mathematics.
- Carr EJ, Turner IW, (2016) A semi-analytical solution for multilayer diffusion in a composite medium consisting of a large number of layers, Applied Mathematical Modelling p7034-7050
- Zhao YM, Zhang YD, Liu F, Turner IW, Shi DY, (2016) Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation, Applied Mathematical Modelling p8810-8825
- Qin S, Liu F, Turner IW, Yu Q, Yang Q, Vegh V, (2017) Characterization of anomalous relaxation using the time-fractional Bloch equation and multiple echo T2*-weighted magnetic resonance imaging at 7 T, Magnetic Resonance in Medicine p1485-1494
- Chen S, Liu F, Jiang X, Turner IW, 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 p606-624
- Farquhar ME, Moroney TJ, Yang Q, Turner IW, (2016) GPU accelerated algorithms for computing matrix function vector products with applications to exponential integrators and fractional diffusion, SIAM Journal on Scientific Computing pC127-C149
- Carr EJ, Perre PG, Turner IW, (2016) The extended distributed microstructure model for gradient-driven transport: A two-scale model for bypassing effective parameters, Journal of Computational Physics p810-829
- Zheng M, Liu F, Turner IW, Anh VV, (2015) A novel high order space-time spectral method for the time fractional Fokker--Planck equation, SIAM Journal on Scientific Computing pA701-A724
- Liu F, Zhuang P, Turner IW, Anh VV, 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 p252-263
- Psaltis S, Farrell TW, Burrage K, Burrage PM, McCabe PJ, Moroney TJ, Turner IW, Mazumder S, (2015) Mathematical modelling of gas production and compositional shift of a CSG (coal seam gas) field: Local model development, Energy p621-635
- Zeng F, Li C, Liu F, Turner IW, (2015) Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy, SIAM Journal on Scientific Computing pA55-A78
For more publications by this staff member, visit QUT ePrints, the University's research repository.
Completed supervisions (Doctorate)
- Mathematical Modelling of the Impaction and Spreading of Spray Droplets on Leaves (2015)
- The development of virtual leaf surface models for interactive agrichemical spray applications (2015)
- A Tensor Encoding Model of Word Meaning: Theory and Application to Information Retrieval (2013)
- Mathematical Modelling of LiFePO4 Cathodes (2013)
- Modelling Sea Water Intrusion in Coastal Aquifers Using Heterogeneous Computing (2013)
- Numerical simulation of anomalous diffusion with application to medical imaging (2013)
- Exponential integrators and a dual-scale model for wood drying (2012)
- Mathematical Modelling of the Drying of Sol Gel Microspheres (2011)
- Novel Analytical and Numerical Methods for Solving Fractional Dynamical Systems (2010)
- Krylov subspace methods for approximating functions of symmetric positive definite matrices with applications to applied statistics and anomalous diffusion (2009)