Biography

I am an Associate Professor in the School of Computer Science at the University of Leeds. My research focuses on the mathematical understanding of computational algorithms. This work includes modelling, analysis and simulation using skills from maths, computer science, physics and biology. I apply these ideas to the study of moving interface and free boundary problems in particular concerning the undulatory locomotion of microswimmers as part of the Leeds wormlab.

Funded PhD project

I have funding for a PhD project on Numerical computation of interface problems. Please contact me for more details.

Interests
  • Numerical analysis
  • Nonlinear partial differential equations
  • Free boundary problems
  • Computational modelling
  • Biological applications including microswimmers
Education

  • PhD in Mathematics, 2013

    University of Warwick

  • MMath in Mathematics, 2009

    University of Warwick

Recent Publications

Evolving finite elements for an advection diffusion problem with an evolving interface
The aim of this paper is to develop a numerical scheme to approximate evolving interface problems for parabolic equations based on the …
Charles M. Elliott, Thomas Ranner, Pierre Stepanov
PDF Code
3D shape reconstruction of semi-transparent worms
3D shape reconstruction typically requires identifying object features or textures in multiple images of a subject. This approach is …
Thomas P. Ilett, Omer Yuval, Thomas Ranner, Netta Cohen, David Hogg
PDF
A monolithic optimal control method for displacement tracking of Cosserat rod with application to reconstruction of C. elegans locomotion
Yongxing Wang, Thomas Ranner, Thomas P. Ilett, Yan Xia, Netta Cohen
PDF DOI
A unified theory for continuous in time evolving finite element space approximations to partial differential equations in evolving domains
We develop a unified theory for continuous in time finite element discretisations of partial differential equations posed in evolving …
Charles M. Elliott, Thomas Ranner
PDF Code DOI
A stable finite element method for low inertia undulatory locomotion in three dimensions
We present and analyse a numerical method for understanding the low-inertia dynamics of an open, inextensible viscoelastic rod - a long …
Thomas Ranner
PDF DOI
See all publications

Recent Posts

Origami Worms
In the School of Computing at the University of Leeds we want to find out more about how worms move by wiggling. Can you help us by making your own origami worm?
Last updated on 22 May, 2020 1 min read
EPSRC Funded Phd Studentship
Edit: The deadline for this funding has now passed. But please make contact if you are interested in pursuing one of these projects as alternative funding may be available. Background: PhD students are sought in the School of Computing at the University of Leeds, UK.
Last updated on 18 Mar, 2019 7 min read
Using configuration options in c++ using CMake
Sometimes when writing generic code you want to only using certain bits of code in special circumstances, for example only use OpenCV code when it is availble. With CMake this is easy.
Last updated on 10 Jul, 2018 3 min read
Fitting a plane to points using Lagrange Multipliers
Suppose we have some three dimensional point data and we think that the data can be well described by a plane. We find this plane by minimising the distance between the plane and all the points using a least squares fit.
Last updated on 10 Jul, 2018 5 min read

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