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An optimally efficient technique for the solution of systems of nonlinear parabolic partial differential equations (2016)
Journal Article
Yang, F., Goodyer, C. E., Hubbard, M. E., & Jimack, P. K. (2017). An optimally efficient technique for the solution of systems of nonlinear parabolic partial differential equations. Advances in Engineering Software, 103, https://doi.org/10.1016/j.advengsoft.2016.06.003

This paper describes a new software tool that has been developed for the efficient solution of systems of linear and nonlinear partial differential equations (PDEs) of parabolic type. Specifically, the software is designed to provide optimal computat... Read More about An optimally efficient technique for the solution of systems of nonlinear parabolic partial differential equations.

Markov decision process algorithms for wealth allocation problems with defaultable bonds (2016)
Journal Article
Pérez López, I., Hodge, D., & Le, H. (in press). Markov decision process algorithms for wealth allocation problems with defaultable bonds. Advances in Applied Probability, 48(2), https://doi.org/10.1017/apr.2016.6

This paper is concerned with analysing optimal wealth allocation techniques within a defaultable financial market similar to Bielecki and Jang (2007). It studies a portfolio optimization problem combining a continuous-time jump market and a defaultab... Read More about Markov decision process algorithms for wealth allocation problems with defaultable bonds.

Beyond in-phase and anti-phase coordination in a model of joint action (2016)
Journal Article
Avitabile, D., S?owi?ski, P., Bardy, B., & Tsaneva-Atanasova, K. (in press). Beyond in-phase and anti-phase coordination in a model of joint action. Biological Cybernetics, 110(2-3), https://doi.org/10.1007/s00422-016-0691-9

In 1985, Haken, Kelso and Bunz proposed a system of coupled nonlinear oscillators as a model of rhythmic movement patterns in human bimanual coordination. Since then, the Haken–Kelso–Bunz (HKB) model has become a modelling paradigm applied extensivel... Read More about Beyond in-phase and anti-phase coordination in a model of joint action.

Generalized geometric quantum speed limits (2016)
Journal Article
Pires, D. P., Cianciaruso, M., Céleri, L. C., Adesso, G., & Soares-Pinto, D. O. (2016). Generalized geometric quantum speed limits. Physical Review X, 6(2), Article 21031. https://doi.org/10.1103/PhysRevX.6.021031

The attempt to gain a theoretical understanding of the concept of time in quantum mechanics has triggered significant progress towards the search for faster and more efficient quantum technologies. One of such advances consists in the interpretation... Read More about Generalized geometric quantum speed limits.

The chain rule for F-differentiation (2016)
Journal Article
Chaobankoh, T., Feinstein, J., & Morley, S. (2016). The chain rule for F-differentiation

Let X be a perfect, compact subset of the complex plane, and let D (1)(X) denote the (complex) algebra of continuously complex-differentiable functions on X. Then D(1)(X) is a normed algebra of functions but, in some cases, fails to be a Banach funct... Read More about The chain rule for F-differentiation.

Strong monogamy inequalities for four qubits (2016)
Journal Article
Regula, B., Osterloh, A., & Adesso, G. (2016). Strong monogamy inequalities for four qubits. Physical Review A, 93(5), Article 052338. https://doi.org/10.1103/PhysRevA.93.052338

We investigate possible generalizations of the Coffman-Kundu-Wootters monogamy inequality to four qubits, accounting for multipartite entanglement in addition to the bipartite terms. We show that the most natural extension of the inequality does not... Read More about Strong monogamy inequalities for four qubits.

DEMARCATE: density-based magnetic resonance image clustering for assessing tumor heterogeneity in cancer (2016)
Journal Article
Saha, A., Banerjee, S., Kurtek, S., Narang, S., Lee, J., Rao, G., …Baladandayuthapani, V. (in press). DEMARCATE: density-based magnetic resonance image clustering for assessing tumor heterogeneity in cancer. NeuroImage: Clinical, 12, https://doi.org/10.1016/j.nicl.2016.05.012

Tumor heterogeneity is a crucial area of cancer research wherein inter- and intra-tumor differences are investigated to assess and monitor disease development and progression, especially in cancer. The proliferation of imaging and linked genomic data... Read More about DEMARCATE: density-based magnetic resonance image clustering for assessing tumor heterogeneity in cancer.

Abelian duality on globally hyperbolic spacetimes (2016)
Journal Article
Becker, C., Benini, M., Schenkel, A., & Szabo, R. J. (2017). Abelian duality on globally hyperbolic spacetimes. Communications in Mathematical Physics, 349(1), 361-392. https://doi.org/10.1007/s00220-016-2669-9

We study generalized electric/magnetic duality in Abelian gauge theory by combining techniques from locally covariant quantum field theory and Cheeger-Simons differential cohomology on the category of globally hyperbolic Lorentzian manifolds. Our app... Read More about Abelian duality on globally hyperbolic spacetimes.

hp-Version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes (2016)
Journal Article
Cangiani, A., Dong, Z., Georgoulis, E. H., & Houston, P. (2016). hp-Version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes. ESAIM: Mathematical Modelling and Numerical Analysis, 50(3), 699-725. https://doi.org/10.1051/m2an/2015059

We consider the hp-version interior penalty discontinuous Galerkin finite element method (DGFEM) for the numerical approximation of the advection-diffusion-reaction equation on general computational meshes consisting of polygonal/polyhedral (polytopi... Read More about hp-Version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes.

Participatory modelling for stakeholder involvement in the development of flood risk management intervention options (2016)
Journal Article
Maskrey, S. A., Mount, N. J., Thorne, C. R., & Dryden, I. L. (2016). Participatory modelling for stakeholder involvement in the development of flood risk management intervention options. Environmental Modelling and Software, 82, 275-294. https://doi.org/10.1016/j.envsoft.2016.04.027

Advancing stakeholder participation beyond consultation offers a range of benefits for local flood risk management, particularly as responsibilities are increasingly devolved to local levels. This paper details the design and implementation of a par... Read More about Participatory modelling for stakeholder involvement in the development of flood risk management intervention options.

Static and dynamic stress heterogeneity in a multiscale model of the asthmatic airway wall (2016)
Journal Article
Hiorns, J. E., Jensen, O. E., & Brook, B. S. (2016). Static and dynamic stress heterogeneity in a multiscale model of the asthmatic airway wall. Journal of Applied Physiology, 121(1), 233-247. https://doi.org/10.1152/japplphysiol.00715.2015

Airway hyperresponsiveness (AHR) is a key characteristic of asthma that remains poorly understood. Tidal breathing and deep inspiration ordinarily cause rapid relaxation of airway smooth muscle (ASM) (as demonstrated via application of length fluctua... Read More about Static and dynamic stress heterogeneity in a multiscale model of the asthmatic airway wall.

Asphericity of a length four relative presentation (2016)
Journal Article
Bin Ahmad, A. G., Al-Mulla, M. A., & Edjvet, M. (2016). Asphericity of a length four relative presentation. Journal of Algebra and Its Applications, 16(4), https://doi.org/10.1142/S0219498817500761

We consider the relative group presentation P = < G, X | R > where X = { x \} and R = { xg_1 xg_2 xg_3 x^{-1} g_4 }. We show modulo a small number of exceptional cases exactly when P is aspherical. If the subgroup H of G is given by H = < g_1^{-1}... Read More about Asphericity of a length four relative presentation.

An abstract analysis of optimal goal-oriented adaptivity (2016)
Journal Article
Feischl, M., Praetorius, D., & van der Zee, K. G. (in press). An abstract analysis of optimal goal-oriented adaptivity. SIAM Journal on Numerical Analysis, 54(3), https://doi.org/10.1137/15M1021982

We provide an abstract framework for optimal goal-oriented adaptivity for finite element methods and boundary element methods in the spirit of (Carstensen, Feischl, Page, and Praetorius, Axioms of adaptivity, Comput. Math. Appl., 67 (2014), pp. 1195–... Read More about An abstract analysis of optimal goal-oriented adaptivity.

Monte Carlo simulations of random non-commutative geometries (2016)
Journal Article
Barrett, J. W., & Glaser, L. (2016). Monte Carlo simulations of random non-commutative geometries. Journal of Physics A: Mathematical and Theoretical, 49(24), Article 245001. https://doi.org/10.1088/1751-8113/49/24/245001

© 2016 IOP Publishing Ltd. Random non-commutative geometries are introduced by integrating over the space of Dirac operators that form a spectral triple with a fixed algebra and Hilbert space. The cases with the simplest types of Clifford algebra are... Read More about Monte Carlo simulations of random non-commutative geometries.

Slow escaping points of quasiregular mappings (2016)
Journal Article
Nicks, D. A. (in press). Slow escaping points of quasiregular mappings. Mathematische Zeitschrift, https://doi.org/10.1007/s00209-016-1687-9

This article concerns the iteration of quasiregular mappings on Rd and entire functions on C. It is shown that there are always points at which the iterates of a quasiregular map tend to infinity at a controlled rate. Moreover, an asymptotic rate of... Read More about Slow escaping points of quasiregular mappings.

A multi-scale model of the interplay between cell signalling and hormone transport in specifying the root meristem of Arabidopsis thaliana (2016)
Journal Article
Muraro, D., Larrieu, A., Lucas, M., Chopard, J., Byrne, H. M., Godin, C., & King, J. R. (in press). A multi-scale model of the interplay between cell signalling and hormone transport in specifying the root meristem of Arabidopsis thaliana. Journal of Theoretical Biology, 404, https://doi.org/10.1016/j.jtbi.2016.04.036

The growth of the root of Arabidopsis thaliana is sustained by the meristem, a region of cell proliferation and differentiation which is located in the root apex and generates cells which move shootwards, expanding rapidly to cause root growth. The b... Read More about A multi-scale model of the interplay between cell signalling and hormone transport in specifying the root meristem of Arabidopsis thaliana.