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Discrete breathers in honeycomb Fermi-Pasta-Ulam lattices (2014)
Journal Article
Wattis, J. A., & James, L. M. (2014). Discrete breathers in honeycomb Fermi-Pasta-Ulam lattices. Journal of Physics A: Mathematical and Theoretical, 47(34), Article 345101. https://doi.org/10.1088/1751-8113/47/34/345101

We consider the two-dimensional Fermi-Pasta-Ulam lattice with hexagonal honeycomb symmetry, which is a Hamiltonian system describing the evolution of a scalar-valued quantity subject to nearest neighbour interactions. Using multiple-scale analy... Read More about Discrete breathers in honeycomb Fermi-Pasta-Ulam lattices.

The influence of changing host immunity on 1918–19 pandemic dynamics (2014)
Journal Article
Bolton, K., McCaw, J., McVernon, J., & Mathews, J. (2014). The influence of changing host immunity on 1918–19 pandemic dynamics. Epidemics, 8, 18-27. https://doi.org/10.1016/j.epidem.2014.07.004

The sociological and biological factors which gave rise to the three pandemic waves of Spanish influenza in England during 1918–19 are still poorly understood. Symptom reporting data available for a limited set of locations in England indicates that... Read More about The influence of changing host immunity on 1918–19 pandemic dynamics.

A recursive sparse grid collocation method for differential equations with white noise (2014)
Journal Article
Zhang, Z., Tretyakov, M., Rozovskii, B., & Karniadakis, G. E. (2014). A recursive sparse grid collocation method for differential equations with white noise. SIAM Journal on Scientific Computing, 36(4), A1652–A1677. https://doi.org/10.1137/130938906

We consider a sparse grid collocation method in conjunction with a time discretization of the differential equations for computing expectations of functionals of solutions to differential equations perturbed by time-dependent white noise. We first an... Read More about A recursive sparse grid collocation method for differential equations with white noise.

How to obtain division algebras used for fast-decodable space-time block codes (2014)
Journal Article
Pumpluen, S. (2014). How to obtain division algebras used for fast-decodable space-time block codes. Advances in Mathematics of Communications, 8(3), https://doi.org/10.3934/amc.2014.8.323

We present families of unital algebras obtained through a doubling process from a cyclic central simple algebra D, employing a K-automorphism tau and an invertible element d in D. These algebras appear in the construction of iterated space-time block... Read More about How to obtain division algebras used for fast-decodable space-time block codes.

Wiman-Valiron theory for a class of functions meromorphic in the unit disc (2014)
Journal Article
Langley, J., & Rossi, J. (2014). Wiman-Valiron theory for a class of functions meromorphic in the unit disc. Mathematical Proceedings of the Royal Irish Academy, 114A(2), https://doi.org/10.3318/pria.2014.114.14

Analogues of the key results of Wiman-Valiron theory are proved for a class of functions meromorphic in the unit disc, based on an approach developed by Bergweiler, Rippon and Stallard for the plane setting. The results give local approximations for... Read More about Wiman-Valiron theory for a class of functions meromorphic in the unit disc.

Particle detectors and the zero mode of a quantum field (2014)
Journal Article
Martín-Martínez, E., & Louko, J. (2014). Particle detectors and the zero mode of a quantum field. Physical Review D - Particles, Fields, Gravitation and Cosmology, 90(2), Article 024015. https://doi.org/10.1103/PhysRevD.90.024015

We study the impact of the zero mode of a quantum field on the evolution of a particle detector. For a massless scalar field in a periodic cavity, we show that the impact of the zero mode on the Unruh-DeWitt detector and its derivative-coupling gener... Read More about Particle detectors and the zero mode of a quantum field.

hp-adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains (2014)
Journal Article
Giani, S., & Houston, P. (2014). hp-adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains. Numerical Methods for Partial Differential Equations, 30(4), https://doi.org/10.1002/num.21872

In this paper we develop the a posteriori error estimation of hp-version discontinuous Galerkin composite finite element methods for the discretization of second order elliptic partial differential equations. This class of methods allows for the appr... Read More about hp-adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains.

Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains (2014)
Journal Article
Antonietti, P. F., Giani, S., & Houston, P. (2014). Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains. Journal of Scientific Computing, 60(1), https://doi.org/10.1007/s10915-013-9792-y

In this article we consider the application of Schwarz-type domain decomposition preconditioners for discontinuous Galerkin finite element approximations of elliptic partial differential equations posed on complicated domains, which are characterized... Read More about Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains.

Runge-Kutta residual distribution schemes (2014)
Journal Article
Warzynski, A., Hubbard, M. E., & Ricchiuto, M. (2015). Runge-Kutta residual distribution schemes. Journal of Scientific Computing, 62(3), https://doi.org/10.1007/s10915-014-9879-0

We are concerned with the solution of time-dependent non-linear hyperbolic partial differential equations. We investigate the combination of residual distribution methods with a consistent mass matrix (discretisation in space) and a Runge–Kutta-type... Read More about Runge-Kutta residual distribution schemes.

Discontinuous Galerkin methods for fast reactive mass transfer through semi-permeable membranes (2014)
Journal Article
Cangiani, A., Georgoulis, E. H., & Jensen, M. (2016). Discontinuous Galerkin methods for fast reactive mass transfer through semi-permeable membranes. Applied Numerical Mathematics, 104, 3-14. https://doi.org/10.1016/j.apnum.2014.06.007

A discontinuous Galerkin (dG) method for the numerical solution of initial/boundary value multi-compartment partial differential equation (PDE) models, interconnected with interface conditions, is analysed. The study of interface problems is motivate... Read More about Discontinuous Galerkin methods for fast reactive mass transfer through semi-permeable membranes.

Epidemics on random intersection graphs (2014)
Journal Article
Ball, F. G., Sirl, D. J., & Trapman, P. (2014). Epidemics on random intersection graphs. Annals of Applied Probability, 24(3), https://doi.org/10.1214/13-AAP942

In this paper we consider a model for the spread of a stochastic SIR (Susceptible → Infectious → Recovered) epidemic on a network of individuals described by a random intersection graph. Individuals belong to a random number of cliques, each of rando... Read More about Epidemics on random intersection graphs.

Quantum discord determines the interferometric power of quantum states (2014)
Journal Article
Girolami, D., Souza, A. M., Giovannetti, V., Tufarelli, T., Filgueiras, J. G., Sarthour, R. S., …Adesso, G. (2014). Quantum discord determines the interferometric power of quantum states. Physical Review Letters, 112(21), https://doi.org/10.1103/PhysRevLett.112.210401

Quantum metrology exploits quantum mechanical laws to improve the precision in estimating technologically relevant parameters such as phase, frequency, or magnetic fields. Probe states are usually tailored to the particular dynamics whose parameters... Read More about Quantum discord determines the interferometric power of quantum states.

Vortex liquids and the Ginzburg-Landau equation (2014)
Journal Article
Kurzke, M., & Spirn, D. (2014). Vortex liquids and the Ginzburg-Landau equation. Forum of Mathematics, Sigma, 2, Article e11. https://doi.org/10.1017/fms.2014.6

We establish vortex dynamics for the time-dependent Ginzburg–Landau equation for asymptotically large numbers of vortices for the problem without a gauge field and either Dirichlet or Neumann boundary conditions. As our main tool, we establish quanti... Read More about Vortex liquids and the Ginzburg-Landau equation.

Continuous-variable versus hybrid schemes for quantum teleportation of Gaussian states (2014)
Journal Article
Kogias, I., Ragy, S., & Adesso, G. (2014). Continuous-variable versus hybrid schemes for quantum teleportation of Gaussian states. Physical Review A, 89(5), https://doi.org/10.1103/PhysRevA.89.052324

In this paper, we examine and compare two fundamentally different teleportation schemes: the well-known continuous-variable scheme of Vaidman, Braunstein, and Kimble (VBK) and a recently proposed hybrid scheme by Andersen and Ralph (AR). We analyze t... Read More about Continuous-variable versus hybrid schemes for quantum teleportation of Gaussian states.

Relativistic Quantum Metrology: Exploiting relativity to improve quantum measurement technologies (2014)
Journal Article
Ahmadi, M., Bruschi, D. E., Sabín, C., Adesso, G., & Fuentes, I. (2014). Relativistic Quantum Metrology: Exploiting relativity to improve quantum measurement technologies. Scientific Reports, 4(1), 1-6. https://doi.org/10.1038/srep04996

We present a framework for relativistic quantum metrology that is useful for both Earth-based and space-based technologies. Quantum metrology has been so far successfully applied to design precision instruments such as clocks and sensors which outper... Read More about Relativistic Quantum Metrology: Exploiting relativity to improve quantum measurement technologies.