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Browsing MACSI - Mathematics Application Consortium for Science & Industry by Title

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  • Gleeson, James P.; Melnik, Sergey; Ward, Jonathan A; Porter, Mason A; Murcha, Peter J (American Physical Society, 2012)
    Mean-field analysis is an important tool for understanding dynamics on complex networks. However, surprisingly little attention has been paid to the question of whether mean-field predictions are accurate, and this is ...
  • Ward, Jonathan A; Fowler, Andrew C. (SpringerOpen, 2016)
    Purpose: The polishing of cut lead glass crystal is effected through the dowsing of the glass in a mixture of two separate acids, which between them etch the surface and as a result cause it to be become smooth. In order ...
  • MacCarron, Pádraig; Maher, Paul J.; Fennell, Susan C.; Burke, Kevin; Gleeson, James P.; Durrheim, Kevin; Quayle, Michael (Public Library of Science, 2020)
    Shared opinions are an important feature in the formation of social groups. In this paper, we use the Axelrod model of cultural dissemination to represent opinion-based groups. In the Axelrod model, each agent has a set ...
  • Devine, Kevin M.; Vynnycky, Michael; Mitchell, Sarah L.; O’Brien, Stephen B. G. (Oxford University Press, 2020)
    This paper investigates the different possible behaviours of a recent asymptotic model for oscillation-mark formation in the continuous casting of steel, with particular focus on how the results obtained vary when the heat ...
  • Cuffe, Paul; Dassios, Ioannis K.; Keane, Andrew (IEEE Computer Society, 2016)
    Abstract—Loss minimizing generator dispatch profiles for power systems are usually derived using optimization techniques. However, some authors have noted that a system’s KGL matrix can be used to analytically determine ...
  • Fennell, Peter G.; Gleeson, James P.; Cellai, Davide (American Physical Society, 2014)
    Facilitated spin models were introduced some decades ago to mimic systems characterized by a glass transition. Recent developments have shown that a class of facilitated spin models is also able to reproduce characteristic ...
  • Gleeson, James P.; Melnik, Sergey (American Physical Society, 2009)
    An analytical approach to calculating bond percolation thresholds, sizes of k-cores, and sizes of giant connected components on structured random networks with nonzero clustering is presented. The networks are generated ...
  • Fannon, James S.; Moyles, Iain R.; Fowler, Andrew C. (Cambridge University Press, 2019)
    We consider the instability properties of dense granular flow in inclined plane and plane shear geometries as tests for the compressible inertial-dependent rheology. The model, which is a recent generalisation of the ...
  • Mitchell, Sarah L.; McInerney, N.P.; O'Brien, Stephen B.G. (Elsevier, 2021)
    This study examines a one-dimensional Stefan problem describing the sorption of a finite amount of swelling solvent in a glassy polymer. The polymer is initially in a dry non-swollen state, where the polymer network is ...
  • da Cunha, Bruno Requião; MacCarron, Pádraig; Passold, Jean Fernando; dos Santos, Luiz Walmocyr; Oliveira, Kleber A.; Gleeson, James P. (2020)
    The networked nature of criminals using the dark web is poorly understood and infrequently studied, mostly due to a lack of data. Rarer still are studies on the topological effectiveness of police interventions. Between ...
  • Moroney, Kevin M.; Lee, William T.; O'Brien, Stephen B.G.; Suijver, F.; Marra, Johan (Society for Industrial and Applied Mathematics, 2016)
    Extraction of coffee solubles from roast and ground coffee is a highly complex process, depending on a large number of brewing parameters. We consider a recent, experimentally validated, model of coffee extraction, describing ...
  • Haynes, Matthew; O'Brien, Stephen B.G.; Benilov, Eugene (AIP Publishing, 2016)
    This paper uses asymptotic techniques to find the shape of a two dimensional liquid bridge suspended between two vertical walls. We model the equilibrium bridge shape using the Laplace-Young equation. We use the Bond number ...
  • Fowler, Andrew C. (Springer, 2021)
    This paper addresses the problem of extinction in continuous models of population dynamics associated with small numbers of individuals. We begin with an extended discussion of extinction in the particular case of a ...
  • Gleeson, James P. (American Physical Society, 2013)
    A wide class of binary-state dynamics on networks-including, for example, the voter model, the Bass diffusion model, and threshold models-can be described in terms of transition rates (spin-flip probabilities) that depend ...
  • Lee, William T.; Fowler, Andrew C.; Power, O.; Healy, S.; Browne, J. (American Institute of Physics, 2010)
    Polycrystalline silicon fuses are one time programmable memory elements which allow the calibration of integrated circuits at wafer and package level. We present a zero-dimensional lumped parameter model of the programming ...
  • Gleeson, James P. (American Physical Society, 2009)
    Analytical results are derived for the bond percolation threshold and the size of the giant connected component in a class of random networks with nonzero clustering. The network's degree distribution and clustering spectrum ...
  • Hackett, Adam W.; Cellai, Davide; Gomez, S.; Arenas, A.; Gleeson, James P. (American Physical Society, 2016)
    We present an analytical approach for bond percolation on multiplex networks and use it to determine the expected size of the giant connected component and the value of the critical bond occupation probability in these ...
  • Gleeson, James P.; Onaga, Tomokatsu; Fennell, Peter; Cotter, James; Burke, Raymond; O'Sullivan, David J.P. (Oxford University Press, 2021)
    A detailed analysis of Twitter-based information cascades is performed, and it is demonstrated that branching process hypotheses are approximately satisfied. Using a branching process framework, models of agent-to-agent ...
  • Gleeson, James P.; Murphy, Thomas Brendan; O'Brien, Joseph D.; Friel, Nial; Bargary, Norma; O'Sullivan, David J.P. (The Royal Society Publishing, 2021)
    We describe the population-based susceptible-exposed-infected-removed (SEIR) model developed by the Irish Epidemiological Modelling Advisory Group (IEMAG), which advises the Irish government on COVID-19 responses. The model ...
  • Hackett, Adam W.; Melnik, Sergey; Gleeson, James P. (American Physical Society, 2011)
    We present an analytical approach to determining the expected cascade size in a broad range of dynamical models on the class of random networks with arbitrary degree distribution and nonzero clustering introduced previously ...

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