Dr Elliot Carr
Faculty of Science,
School of Mathematical Sciences
Biography
I am a Senior Lecturer in Applied and Computational Mathematics at QUT. More information can be found about me on my personal academic website: https://elliotcarr.github.io.Academic History
- 2018-present
Senior Lecturer, School of Mathematical Sciences, QUT. - 2015-2018
Lecturer, School of Mathematical Sciences, QUT. - 2015-2018
ARC DECRA Research Fellow, School of Mathematical Sciences, QUT. - 2014-2014
Postdoctoral Research Associate, Applied Modelling and Computation Group, Imperial College London, UK. - 2013-2014
Postdoctoral Research Fellow, Laboratory of Chemical Engineering and Materials, École Centrale Paris, France. - 2012-2013
Postdoctoral Research Fellow, School of Mathematical Sciences, QUT. - 2009-2012
Doctor of Philosophy (Mathematics), QUT.
Awards: QUT Outstanding Doctoral Thesis Award. - 2008
Bachelor of Applied Science (Honours) (Mathematics), QUT.
Awards: University Medal, Dean’s Award - Bachelor of Applied Science (Honours) (Mathematics) (top graduate), GPA 7.0. - 2005-2007
Bachelor of Mathematics, QUT.
Awards: Dean's Award - Bachelor of Mathematics (top graduate), GPA 7.0.
Personal details
Positions
- Senior Lecturer
Faculty of Science,
School of Mathematical Sciences
Discipline
Applied Mathematics, Numerical and Computational Mathematics
Field of Research code, Australian and New Zealand Standard Research Classification (ANZSRC), 2008
Qualifications
- PhD (Queensland University of Technology)
- Bachelor of Applied Science (Honours) - Mathematics (Queensland University of Technology)
- Bachelor of Mathematics (Queensland University of Technology)
Professional memberships and associations
Member, Australian Mathematical Society (AustMS).
Member, Australian and New Zealand Industrial and Applied Mathematics (ANZIAM).
Teaching
Awards
- 2018 Science and Engineering Faculty Award for Excellence and Collegiality In recognition of building a strong culture of excellence and collegiality in leading the reaccreditation of the Bachelor of Mathematics (Honours) degree.
- 2016 Vice-Chancellor's Performance Award (Team) In recognition of a significant and superior contribution to the work of the university as part of the Maths Work Integrated Learning (WIL) team.
Teaching Areas
- Computational mathematics
- Linear algebra
- Ordinary and partial differential equations
- Multivariable calculus
- Mathematical modelling
- Engineering mathematics
Recent Units
- MXB326 Computational Methods 2 (2021-2022) This unit focusses on the theoretical development and practical implementation (in MATLAB) of finite volume methods and Newton-Krylov techniques for solving nonlinear partial differential equations of advection-diffusion-reaction type.
- MXB103 Introductory Computational Mathematics (2017-2022) This unit focusses on the theoretical development and practical implementation (in MATLAB) of numerical methods for differentiation, integration, differential equations, interpolation and linear systems of equations.
- EGB242 Signal Analysis (2018-2021) The unit focusses on signal and system analysis in the time and frequency domain in the context of electrical and electronic circuits. I teach the maths component of this unit, which focusses on foundational mathematical knowledge in Fourier series, Fourier and Laplace transforms and related concepts.
- MXB324 Computational Fluid Dynamics (2016) This unit focussed on the theoretical development and practical implementation (in MATLAB) of finite volume methods and Newton-Krylov techniques for solving nonlinear partial differential equations applied to an industry-specific groundwater management problem.
- MXB222 Computational Linear Algebra (2015) This unit focussed on the theoretical development and practical implementation (in MATLAB) of finite difference methods for solving linear partial differential equations as well as direct and iterative methods for solving linear systems of equations.
Experience
Research
My research expertise is in the development and application of techniques and algorithms from computational and applied mathematics to solve, simulate and analyse mathematical models, particularly those involving partial differential equations. Through the use of mathematical analysis, computational simulation and high performance computing facilities, I study physical, industrial, environmental and biological applications to extract new knowledge and insight to help inform design and optimisation. Ongoing research focusses on diffusion processes, multiscale modelling and heat and mass transfer with applications to wood drying, groundwater flow, drug delivery and burn injuries.
Publications
I have published around 40 research articles in international journals including:
- Applied Mathematical Modelling
- Applied Mathematics and Computation
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- Journal of Computational Physics
- Multiscale Modeling and Simulation
- International Journal of Heat and Mass Transfer
- Journal of Computational and Applied Mathematics
- International Journal for Numerical Methods in Engineering
- Transport in Porous Media
- Physical Review E
- New Journal of Physics
- Journal of Chemical Physics
- Chemical Engineering Science
- Communications in Nonlinear Science and Numerical Simulation
- Mathematical Biosciences
- Journal of Hydrology
- Scientific Reports
- Chemical Engineering & Technology
- Annals of Forest Science
- Wood Science and Technology
A complete list of my publications can be found on my Google Scholar profile or on my personal website: https://elliotcarr.github.io.
Journal Referee
I am a referee for the following journals:
- Applied Mathematical Modelling
- Applied Mathematics and Computation
- Journal of Computational Physics
- International Journal of Heat and Mass Transfer
- Transport in Porous Media
- Advances in Water Resources
- Journal of Chemical Physics
- Mathematical Biosciences
- Journal of Engineering Mathematics
- Journal of Porous Media
- Experimental Thermal and Fluid Science
- ANZIAM Journal
Selected publications
- Carr E, Oliver D, Simpson M, (2022) Approximate analytical solution for transient heat and mass transfer across an irregular interface, Communications in Nonlinear Science and Numerical Simulation, 108.
- March N, Carr E, Turner I, (2021) A fast algorithm for semi-analytically solving the homogenization boundary value problem for block locally-isotropic heterogeneous media, Applied Mathematical Modelling, 92, pp. 23-43.
- Kumar C, Psaltis S, Bailleres H, Turner I, Brancheriau L, Hopewell G, Carr E, Farrell T, Lee D, (2021) Accurate estimation of log MOE from non-destructive standing tree measurements, Annals of Forest Science, 78 (1).
- Carr E, (2021) Generalized semi-analytical solution for coupled multispecies advection-dispersion equations in multilayer porous media, Applied Mathematical Modelling, 94, pp. 87-97.
- Simpson M, VandenHeuvel D, Wilson J, McCue S, Carr E, (2021) Mean exit time for diffusion on irregular domains, New Journal of Physics, 23.
- Simpson M, Browning A, Drovandi C, Carr E, Maclaren O, Baker R, (2021) Profile likelihood analysis for a stochastic model of diffusion in heterogeneous media, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 477 (2250).
- Carr E, Ryan J, Simpson M, (2020) Diffusion in heterogeneous discs and spheres: New closed-form expressions for exit times and homogenization formulas, The Journal of Chemical Physics, 153 (7).
- Carr E, Klowss J, (2020) Finite transition times for multispecies diffusion in heterogeneous media coupled via first-order reaction networks, Physical Review E, 102 (1).
- Pontrelli G, Carr E, Tiribocchi A, Succi S, (2020) Modeling drug delivery from multiple emulsions, Physical Review E, 102 (2).
- Carr E, (2020) New semi-analytical solutions for advection–dispersion equations in multilayer porous media, Transport in Porous Media, 135 (1), pp. 39-58.
QUT ePrints
For more publications by Elliot, explore their research in QUT ePrints (our digital repository).
Awards
- Type
- Academic Honours, Prestigious Awards or Prizes
- Reference year
- 2022
- Details
- JH Michell Medal for distinguished research in applied mathematics. Awarded by the ANZIAM division of the Australian Mathematical Society.
- Type
- Keynote Speaker/Expert Panel Member/Invited Speaker for a Conference
- Reference year
- 2020
- Details
- Keynote speaker "Semi-analytical solutions for transport PDEs in heterogeneous media". Monash Workshop on Numerical Differential Equations and Applications (MWNDEA), Melbourne, Australia, 10-14 February, 2020.
- Type
- Keynote Speaker/Expert Panel Member/Invited Speaker for a Conference
- Reference year
- 2019
- Details
- Invited speaker "Coarse-scale simulation of heterogeneous flows: application to groundwater modelling". Forum "Math-for-Industry" (FMFI), Auckland, New Zealand, 18-21 November, 2019.
- Type
- Academic Honours, Prestigious Awards or Prizes
- Reference year
- 2016
- Details
- Vice-Chancellor's Performance Award (Mathematics Work Integrated Learning team)
- Type
- Keynote Speaker/Expert Panel Member/Invited Speaker for a Conference
- Reference year
- 2016
- Details
- Invited speaker "Multiscale Modelling of Groundwater Flow". Forum "Math-for-Industry" (FMFI), Brisbane, 21-23 November, 2016.
- Type
- Recipient of an Australia Council Grant or Australia Council Fellowship
- Reference year
- 2015
- Details
- Discovery Early Career Researcher Award (DECRA)
- Type
- Academic Honours, Prestigious Awards or Prizes
- Reference year
- 2012
- Details
- Outstanding Doctoral Thesis Award (awarded to the top 5% of graduates university-wide)
- Type
- Academic Honours, Prestigious Awards or Prizes
- Reference year
- 2008
- Details
- University Medal (awarded to the top 0.5% of graduates university-wide)
Selected research projects
- Title
- Two-scale numerical modelling of coupled transport in heterogeneous media
- Primary fund type
- CAT 1 - Australian Competitive Grant
- Project ID
- DE150101137
- Start year
- 2015
- Keywords
- multiscale modelling; exponential integrators; groundwater contamination
- Title
- Improving returns from Southern Pine Plantations through innovative Resource Characterisation
- Primary fund type
- CAT 1 - Australian Competitive Grant
- Project ID
- Start year
- 2015
- Keywords
- Mathematical Modelling; Numerical Simulation
Projects listed above are funded by Australian Competitive Grants. Projects funded from other sources are not listed due to confidentiality agreements.
Supervision
Current supervisions
- Computational methods for advection-diffusion-reaction processes in heterogeneous media
PhD, Principal Supervisor
Other supervisors: Professor Ian Turner - Reduced-order models for diffusive transport in heterogeneous media
MPhil, Principal Supervisor
Other supervisors: Professor Matthew Simpson - Player List Management Optimisation in the Australian Football League
PhD, Associate Supervisor
Other supervisors: Associate Professor Paul Corry, Professor Chris Drovandi