Outputs (159)

Limiting behaviour of Fréchet means in the space of phylogenetic trees (2016)
Journal Article
Barden, D., Le, H., & Owen, M. (2018). Limiting behaviour of Fréchet means in the space of phylogenetic trees. Annals of the Institute of Statistical Mathematics, 70(1), 99-129. https://doi.org/10.1007/s10463-016-0582-9

As demonstrated in our previous work on T4, the space of phylogenetic trees with four leaves, the topological structure of the space plays an important role in the non-classical limiting behaviour of the sample Fréchet means in T4. Nevertheless, the... Read More about Limiting behaviour of Fréchet means in the space of phylogenetic trees.

Accessible quantification of multiparticle entanglement (2016)
Journal Article
Cianciaruso, M., Bromley, T. R., & Adesso, G. (2016). Accessible quantification of multiparticle entanglement. npj Quantum Information, 2(1), Article 16030. https://doi.org/10.1038/npjqi.2016.30

Entanglement is a key ingredient for quantum technologies and a fundamental signature of quantumness in a broad range of phenomena encompassing many-body physics, thermodynamics, cosmology and life sciences. For arbitrary multiparticle systems, entan... Read More about Accessible quantification of multiparticle entanglement.

Observation of time-invariant coherence in a nuclear magnetic resonance quantum simulator (2016)
Journal Article
Silva, I. A., Souza, A. M., Bromley, T. R., Cianciaruso, M., Marx, R., Sarthour, R. S., Oliveira, I. S., Lo Franco, R., Glaser, S. J., deAzevedo, E. R., Soares-Pinto, D. O., & Adesso, G. (2016). Observation of time-invariant coherence in a nuclear magnetic resonance quantum simulator. Physical Review Letters, 117(16), https://doi.org/10.1103/PhysRevLett.117.160402

The ability to live in coherent superpositions is a signature trait of quantum systems and constitutes an irreplaceable resource for quantum-enhanced technologies. However, decoherence effects usually destroy quantum superpositions. It has been recen... Read More about Observation of time-invariant coherence in a nuclear magnetic resonance quantum simulator.

Capturing nonlinear dynamics of two-fluid Couette flows with asymptotic models (2016)
Journal Article
Kalogirou, A., Cîmpeanu, R., Keaveny, E., & Papageorgiou, D. (2016). Capturing nonlinear dynamics of two-fluid Couette flows with asymptotic models. Journal of Fluid Mechanics, 806, R1. https://doi.org/10.1017/jfm.2016.612

The nonlinear stability of two-fluid Couette flows is studied using a novel evolution equation whose dynamics is validated by direct numerical simulation (DNS). The evolution equation incorporates inertial effects at arbitrary Reynolds numbers throug... Read More about Capturing nonlinear dynamics of two-fluid Couette flows with asymptotic models.

Transport of phase space densities through tetrahedral meshes using discrete flow mapping (2016)
Journal Article
Bajars, J., Chappell, D., Søndergaard, N., & Tanner, G. (in press). Transport of phase space densities through tetrahedral meshes using discrete flow mapping. Journal of Computational Physics, 328, https://doi.org/10.1016/j.jcp.2016.10.019

Discrete flow mapping was recently introduced as an efficient ray based method determin- ing wave energy distributions in complex built up structures. Wave energy densities are transported along ray trajectories through polygonal mesh elements using... Read More about Transport of phase space densities through tetrahedral meshes using discrete flow mapping.

Hybrid vertex-midline modelling of elongated plant organs (2016)
Journal Article
Fozard, J. A., Bennett, M. J., King, J. R., & Jensen, O. E. (2016). Hybrid vertex-midline modelling of elongated plant organs. Interface Focus, 6(5), Article 20160043. https://doi.org/10.1098/rsfs.2016.0043

We describe a method for the simulation of the growth of elongated plant organs, such as seedling roots. By combining a midline representation of the organ on a tissue scale and a vertex-based representation on the cell scale, we obtain a multiscale... Read More about Hybrid vertex-midline modelling of elongated plant organs.

Uninvited guest in mixed derivative Hořava gravity (2016)
Journal Article
Coates, A., Colombo, M., Gümrükçüoğlu, A. E., & Sotiriou, T. P. (2016). Uninvited guest in mixed derivative Hořava gravity. Physical Review D, 94(8), Article 84014. https://doi.org/10.1103/PhysRevD.94.084014

We revisit the mixed-derivative extension of Hořava gravity which was designed to address the naturalness problems of the standard theory in the presence of matter couplings. We consider the minimal theory with mixed-derivative terms that contain two... Read More about Uninvited guest in mixed derivative Hořava gravity.

A multiscale analysis of drug transport and response for a multiphase tumor model (2016)
Journal Article
Collis, J., Hubbard, M. E., & O'Dea, R. D. (in press). A multiscale analysis of drug transport and response for a multiphase tumor model. European Journal of Applied Mathematics, https://doi.org/10.1017/S0956792516000413

In this article we consider the spatial homogenization of a multi- phase model for avascular tumour growth and response to chemother- apeutic treatment. The key contribution of this work is the derivation of a system of homogenized partial differenti... Read More about A multiscale analysis of drug transport and response for a multiphase tumor model.

Infinite Horizon Sparse Optimal Control (2016)
Journal Article
Kalise, D., Kunisch, K., & Rao, Z. (2017). Infinite Horizon Sparse Optimal Control. Journal of Optimization Theory and Applications, 172(2), 481-517. https://doi.org/10.1007/s10957-016-1016-9

A class of infinite horizon optimal control problems involving nonsmooth cost functionals is discussed. The existence of optimal controls is studied for both the convex case and the nonconvex case, and the sparsity structure of the optimal controls p... Read More about Infinite Horizon Sparse Optimal Control.

Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains (2016)
Book Chapter
Antonietti, P. F., Cangiani, A., Collis, J., Dong, Z., Georgoulis, E. H., Giani, S., & Houston, P. (2016). Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains. In G. R. Barrenechea, F. Brezzi, A. Cangiani, & E. H. Georgoulis (Eds.), Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations (281-310). Springer Publishing Company. https://doi.org/10.1007/978-3-319-41640-3_9

The numerical approximation of partial differential equations (PDEs) posed on complicated geometries, which include a large number of small geometrical features or microstructures, represents a challenging computational problem. Indeed, the use of st... Read More about Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains.