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Dr Elliot Carr

Science and Engineering Faculty,
Mathematical Sciences,
Applied and Computational Mathematics


Dr Elliot Carr
Science and Engineering Faculty,
Mathematical Sciences,
Applied and Computational Mathematics
Discipline *
Applied Mathematics, Numerical and Computational Mathematics
+61 7 3138 6979
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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)
* Field of Research code, Australian and New Zealand Standard Research Classification (ANZSRC), 2008


Dr Elliot Carr is a Lecturer and an ARC DECRA Research Fellow within the School of Mathematical Sciences at QUT.

Personal Website

Academic Appointments

  • 2015-         | 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.
    Thesis: “Exponential Integrators and a Dual-scale Model for Wood Drying
    Awards: QUT Outstanding Doctoral Thesis Award.
  • 2008-2008 | Bachelor of Applied Sciences (Honours) (Mathematics), QUT.
    Awards: University Medal, Dean’s Award – Bachelor of Applied Science (Honours) (Mathematics) (top graduate)
  • 2005-2007 | Bachelor of Mathematics, QUT.
    Awards: Dean’s Award – Bachelor of Mathematics (top graduate)
This information has been contributed by Dr Elliot Carr.



  • 2016 Vice-Chancellor’s Performance Award (Team) for his work in MXB324 as part of the Maths ‘Work Integrated Learning’ (WIL) team.

Teaching Areas

  • Computational mathematics
  • Linear algebra
  • Differential and partial differential equations
  • Multivariable calculus
  • Mathematical modelling

Recent Units

This information has been contributed by Dr Elliot Carr.


Dr Carr’s research develops computational and mathematical techniques for the simulation and analysis of mathematical models to improve accuracy and efficiency and gain further mathematical insights. His specific research interests include:
  • Analysis of mathematical models involving partial differential equations (PDEs)
    Exact solutions of transport processes in layered domains Critical time scales for transport processes
  • Computational simulation of large, coupled and/or multiscale systems
    Multiscale and macroscopic modelling techniques
    Nonlinear and heterogeneous problems
    Numerical methods for solving PDEs: Finite volume methods, Exponential integrators
    Numerical linear algebra: Matrix function computation, Krylov subspace methods
    Scientific computing and visualisation in MATLAB and C/C++
    Parallel and high performance computing
  • Mathematical modelling of physical processes with industrial/biological applications
    Hydrology and groundwater flow Transport phenomena in porous media Heat and mass transfer
Journal Publications
Dr Carr has published articles in several high-quality international journals including:
  • Journal of Computational Physics
  • Multiscale Modeling and Simulation
  • Applied Mathematical Modelling
  • Applied Mathematics and Computation
  • Journal of Computational and Applied Mathematics
  • Physical Review E
  • The Journal of Chemical Physics
  • Mathematical Biosciences
  • International Journal of Numerical Methods in Engineering
  • Scientific Reports
  • Wood Science and Technology
  • Chemical Engineering & Technology
A complete list of Dr Carr’s publications can be found on his Google Scholar profile or on his personal website:
Journal Reviewer 
Dr Carr is a referee for the following journals:
  • Transport in Porous Media
  • Advances in Water Resources
  • Applied Mathematical Modelling
  • International Journal of Heat and Mass Transfer
  • Applied Mathematics and Computation
  • Journal of Engineering Mathematics
  • Experimental Thermal and Fluid Science
  • ANZIAM Journal
This information has been contributed by Dr Elliot Carr.


For more publications by this staff member, visit QUT ePrints, the University's research repository.

Research projects

Grants and projects (Category 1: Australian Competitive Grants only)

Two-scale numerical modelling of coupled transport in heterogeneous media
Primary fund type
CAT 1 - Australian Competitive Grant
Project ID
Start year
multiscale modelling; exponential integrators; groundwater contamination
Improving returns from Southern Pine Plantations through innovative Resource Characterisation
Primary fund type
CAT 1 - Australian Competitive Grant
Project ID
Start year
Mathematical Modelling; Numerical Simulation


Current supervisions

  • Analytical, Numerical and Macroscopic Modelling Approaches for Heterogenous Transport Processes
    PhD, Principal Supervisor
    Other supervisors: Professor Ian Turner
  • Parameter Estimation in Multilayer Diffusion Problems with Limited Experimental Data
    MPhil, Associate Supervisor
    Other supervisors: Professor Matthew Simpson

Completed supervisions (Doctorate)