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Dr Elliot Carr

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

Personal

Name
Dr Elliot Carr
Position(s)
Postdoctoral Research Fellow (ARC DECRA)
Science and Engineering Faculty,
Mathematical Sciences,
Applied and Computational Mathematics
Lecturer
Science and Engineering Faculty,
Mathematical Sciences,
Applied and Computational Mathematics
Discipline *
Applied Mathematics, Numerical and Computational Mathematics
Phone
+61 7 3138 6979
Email
Location
View location details (QUT staff and student access only)
Identifiers and profiles
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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)
* Field of Research code, Australian and New Zealand Standard Research Classification (ANZSRC), 2008

Biography

Dr Elliot Carr is a Lecturer and an ARC DECRA Research Fellow within the Applied and Computational Mathematics Discipline, School of Mathematical Sciences and Science and Engineering Faculty at QUT.

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.
 Education 
  • 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, George Edward Curphey Prize in Mathematics, Dean’s Award – Bachelor of Applied Science (Honours) (Mathematics), Mathematical Sciences Staff Prize – Honours year.
  • 2005-2007 | Bachelor of Mathematics, QUT.
    Awards: Dean’s Award – Bachelor of Mathematics, Mathematical Sciences Staff Prizes – 1st, 2nd and 3rd year, George Edward Curphey Prize in Mathematical Modelling
Curriculum Vitae
Dr Carr’s CV can be found here.
This information has been contributed by Dr Elliot Carr.

Teaching

Teaching Areas

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

Recent Units

  • MXB103 Introductory Computational Mathematics (Semester 1, 2017) with Dr Tim Moroney.
    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.
  • MXB324 Computational Fluid Dynamics (Semester 2, 2016) with Prof. Ian Turner.
    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 (Semester 2, 2015) with Prof. Kevin Burrage.
    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.

Awards

  • 2016 Vice-Chancellor’s Performance Award (Team) for his work in MXB324 as part of the Maths ‘Work Integrated Learning’ (WIL) team.
This information has been contributed by Dr Elliot Carr.

Experience

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
  • Physical Review E
  • Scientific Reports
  • Applied Mathematical Modelling
  • Applied Mathematics and Computation
  • International Journal of Numerical Methods in Engineering
  • Wood Science and Technology
  • Chemical Engineering & Technology
A complete list of Dr Carr’s publications can be found on his Google Scholar profile or in his CV.
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
  • ANZIAM Journal
This information has been contributed by Dr Elliot Carr.

Publications


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)

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

Supervision

Current supervisions

  • Analytical and Macroscopic Modelling Approaches for Groundwater Flow Problems
    PhD, Principal Supervisor
    Other supervisors: Professor Ian Turner
  • Continuum and discrete analysis of layered diffusion.
    Masters, Associate Supervisor
    Other supervisors: Professor Matthew Simpson

Completed supervisions (Doctorate)