output
20122024
most citedDESPOT: Online POMDP Planning with Regularization

182 citations

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7 papers · 1 filter

math.NA2020★ 7 cited

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…

math.NA2019★ 20 cited

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…

math.NA2018★ 11 cited

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…

math.NA2018★ 6 cited

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…

math.NA2017★ 1 cited

Wider contours and adaptive contours

Shev MacNamara, William McLean, Kevin Burrage

Contour integrals in the complex plane are the basis of effective numerical methods for computing matrix functions, such as the matrix exponential and the Mittag-Leffler function.…

math.NA2017★ 89 cited

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…

math.NA2017

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…