89 citations · 283 across the 17 of their papers we have counts for
18 papers
Long Exposure Localization in Darkness Using Consumer Cameras
Michael Milford, Ian Turner, Peter Corke
In this paper we evaluate performance of the SeqSLAM algorithm for passive vision-based localization in very dark environments with low-cost cameras that result in massively blurre…
The use of a time-fractional transport model for performing computational homogenisation of 2D heterogeneous media exhibiting memory effects
Libo Feng, Ian Turner, Patrick Perre +1
In this work, a two-dimensional time-fractional subdiffusion model is developed to investigate the underlying transport phenomena evolving in a binary medium comprised of two sub-d…
Homogenisation for the monodomain model in the presence of microscopic fibrotic structures
Brodie A. J. Lawson, Rodrigo Weber dos Santos, Ian W. Turner +3
Computational models in cardiac electrophysiology are notorious for long runtimes, restricting the numbers of nodes and mesh elements in the numerical discretisations used for thei…
Implicit reconstructions of thin leaf surfaces from large, noisy point clouds
Riley M. Whebell, Timothy J. Moroney, Ian W. Turner +2
Thin surfaces, such as the leaves of a plant, pose a significant challenge for implicit surface reconstruction techniques, which typically assume a closed, orientable surface. We s…
Numerical investigation into coarse-scale models of diffusion in complex heterogeneous media
Nathan G. March, Elliot J. Carr, Ian W. Turner
Computational modelling of diffusion in heterogeneous media is prohibitively expensive for problems with fine-scale heterogeneities. A common strategy for resolving this issue is t…
High-order numerical methods for the Riesz space fractional advection-dispersion equations
Libo Feng, Pinghui Zhuang, Fawang Liu +2
In this paper, we propose high-order numerical methods for the Riesz space fractional advection-dispersion equations (RSFADE) on a {f}inite domain. The RSFADE is obtained from the…
Efficient Bayesian synthetic likelihood with whitening transformations
Jacob W. Priddle, Scott A. Sisson, David T. Frazier +1
Likelihood-free methods are an established approach for performing approximate Bayesian inference for models with intractable likelihood functions. However, they can be computation…
A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations
Fanhai Zeng, Ian Turner, Kevin Burrage +1
In this paper, we develop regularized discrete least squares collocation and finite volume methods for solving two-dimensional nonlinear time-dependent partial differential equatio…
An unstructured mesh control volume method for two-dimensional space fractional diffusion equations with variable coefficients on convex domains
Libo Feng, Fawang Liu, Ian Turner
In this paper, we propose a novel unstructured mesh control volume method to deal with the space fractional derivative on arbitrarily shaped convex domains, which to the best of ou…
Efficient multistep methods for tempered fractional calculus: Algorithms and Simulations
Ling Guo, Fanhai Zeng, Ian Turner +2
In this work, we extend the fractional linear multistep methods in [C. Lubich, SIAM J. Math. Anal., 17 (1986), pp.704--719] to the tempered fractional integral and derivative opera…
A fast algorithm for semi-analytically solving the homogenization boundary value problem for block locally-isotropic heterogeneous media
Nathan G. March, Elliot J. Carr, Ian W. Turner
Direct numerical simulation of diffusion through heterogeneous media can be difficult due to the computational cost of resolving fine-scale heterogeneities. One method to overcome…
Computational modelling of cardiac ischaemia using a variable-order fractional Laplacian
Megan E. Farquhar, Timothy J. Moroney, Qianqian Yang +2
Heart failure is one of the most common causes of death in the western world. Many heart problems are linked to disturbances in cardiac electrical activity, such as wave re-entry c…
A new class of semi-implicit methods with linear complexity for nonlinear fractional differential equations
Fanhai Zeng, Ian Turner, Kevin Burrage +1
We propose a new class of semi-implicit methods for solving nonlinear fractional differential equations and study their stability. Several versions of our new schemes are proved to…
Novel numerical analysis of multi-term time fractional viscoelastic non-Newtonian fluid models for simulating unsteady MHD Couette flow of a generalized Oldroyd-B fluid
Libo Feng, Fawang Liu, Ian Turner +1
In recent years, non-Newtonian fluids have received much attention due to their numerous applications, such as plastic manufacture and extrusion of polymer fluids. They are more co…
On the analysis of mixed-index time fractional differential equation systems
Kevin Burrage, Pamela M. Burrage, Ian W. Turner +1
In this paper we study the class of mixed-index time fractional differential equations in which different components of the problem have different time fractional derivatives on th…
A stable fast time-stepping method for fractional integral and derivative operators
Fanhai Zeng, Ian Turner, Kevin Burrage
A unified fast time-stepping method for both fractional integral and derivative operators is proposed. The fractional operator is decomposed into a local part with memory length $Δ…
Scalable iterative methods for sampling from massive Gaussian random vectors
Daniel P. Simpson, Ian W. Turner, Christopher M. Strickland +1
Sampling from Gaussian Markov random fields (GMRFs), that is multivariate Gaussian ran- dom vectors that are parameterised by the inverse of their covariance matrix, is a fundament…
A discrete time method to the first variation of fractional order variational functionals
Shakoor Pooseh, Ricardo Almeida, Delfim F. M. Torres
The fact that the first variation of a variational functional must vanish along an extremizer is the base of most effective solution schemes to solve problems of the calculus of va…