Caputo and related fractional derivatives in singular systems

Dassios, Ioannis K.; Baleanu, Dumitru, I

APPLIED MATHEMATICS AND COMPUTATION  Volume: 337  Pages: 591-606  Published: NOV 15 2018

https://doi.org/10.1016/j.amc.2018.05.005

Modelling the efficiency of a low-profile nanofluid-based direct absorption parabolic trough solar collector

O'Keeffe, G. J.; Mitchell, S. L.; Myers, T. G.; et al.

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER   Volume: 126   Pages: 613-624   Part: B   Published: NOV 2018  

https://doi.org/10.1016/j.ijheatmasstransfer.2018.05.117

Production of nitrate spikes in a model of ammonium biodegradation

Moyles, I. R.; Fowler, A. C.

THEORETICAL ECOLOGY   Volume: 11   Issue: 3   Pages: 333-350   Published: SEP 2018

https://doi.org/10.1007/s12080-018-0370-7

 

Modelling hyaluronan degradation by streptococcus pneumoniae hyaluronate lyase

Mai, Vinh Q.; Vo, Tuoi T.; Meere, Martin

MATHEMATICAL BIOSCIENCES   Volume: 303   Pages: 126-138   Published: SEP 2018

https://doi.org/10.1016/j.mbs.2018.07.002

 

Harmonic stability of VSC connected Low Frequency AC offshore transmission with long HVAC cables

Ruddy, J.; Chen, J.; Meere, R.; et al.

ELECTRIC POWER SYSTEMS RESEARCH   Volume: 162   Pages: 220-232   Published: SEP 2018

https://doi.org/10.1016/j.epsr.2018.05.017

Characterizing the Analogy Between Hyperbolic Embedding and Community Structure of Complex Networks

Faqeeh, Ali; Osat, Saeed; Radicchi, Filippo

PHYSICAL REVIEW LETTERS   Volume: 121   Issue: 9     Article Number: 098301   Published: AUG 29 2018

https://doi.org/10.1103/PhysRevLett.121.098301

One-time phosphate fertilizer application to grassland columns modifies the soil microbiota and limits its role in ecosystem services

By: Ikoyi, Israel; Fowler, Andrew; Schmalenberger, Achim

Conference: COST Action TD1407 Workshop on Environmental Concentrations, Cycling and Modeling of Technology Critical Elements Location: Weizmann Inst Sci, Rehovot, ISRAEL Date: JAN 18-19, 2017

Sponsor(s): COST Act TD1407; European Cooperat Sci & Technol; NOTICE; Chorafas Inst Sci Exchange

SCIENCE OF THE TOTAL ENVIRONMENT   Volume: 630   Pages: 849-858   Published: JUL 15 2018

https://doi.org/10.1016/j.scitotenv.2018.02.263

Energy conservation and H theorem for the Enskog-Vlasov equation

Benilov, E. S.; Benilov, M. S.

PHYSICAL REVIEW E   Volume: 97   Issue: 6  Article Number: 062115  Published: JUN 7 2018 DOI:

https://doi.org/10.1103/PhysRevE.97.062115

Counter-current convection in a volcanic conduit

Fowler, A. C.; Robinson, Marguerite

JOURNAL OF VOLCANOLOGY AND GEOTHERMAL RESEARCH   Volume: 356   Pages: 141-162   Published: MAY 1 2018

https://doi.org/10.1016/j.jvolgeores.2018.03.004

A parameterization of the passive layer of a quasigeostrophic flow in a continuously-stratified ocean

Benilov, E. S.

OCEAN MODELLING   Volume: 125   Pages: 39-44   Published: MAY 2018

https://doi.org/10.1016/j.ocemod.2018.03.003

Stability of Bounded Dynamical Networks with Symmetry

Dassios, Ioannis K.

SYMMETRY-BASEL   Volume: 10   Issue: 4     Article Number: 121   Published: APR 2018

https://doi.org/10.3390/sym10040121

Sparse Power-Law Network Model for Reliable Statistical Predictions Based on Sampled Data

By: Kartun-Giles, Alexander P.; Krioukov, Dmitri; Gleeson, James P.; et al.

ENTROPY   Volume: 20   Issue: 4     Article Number: 257   Published: APR 2018

https://doi.org/10.3390/e      20040257

Stabilization of axisymmetric liquid bridges through vibration-induced pressure fields

Haynes, M.; Vega, E. J.; Herrada, M. A.; et al.

JOURNAL OF COLLOID AND INTERFACE SCIENCE   Volume: 513   Pages: 409-417   Published: MAR 1 2018

https://doi.org/10.1016/j.jcis.2017.11.056

Can Large Oceanic Vortices Be Stable?

Benilov, E. S.

GEOPHYSICAL RESEARCH LETTERS   Volume: 45   Issue: 4   Pages: 1948-1954   Published: FEB 28 2018

https://doi.org/10.1002/2017GL076939

Asymptotic Analysis of Boundary Layers in a Repulsive Particle System

Hall, Cameron L.; Hudson, Thomas; van Meurs, Patrick

ACTA APPLICANDAE MATHEMATICAE   Volume: 153   Issue: 1   Pages: 1-54   Published: FEB 2018

https://doi.org/10.1007/s10440-017-0119-0

Changes in Speech Chunking in Reading Aloud is a Marker of Mild Cognitive Impairment and Mild-to-Moderate Alzheimer's Disease

By: De Looze, Celine; Kelly, Finnian; Crosby, Lisa; et al.

CURRENT ALZHEIMER RESEARCH   Volume: 15   Issue: 9   Pages: 828-847   Published: 2018

https://doi.org/10.2174/1567205015666180404165017

The philosopher in the kitchen: the role of mathematical modelling in explaining drumlin formation

Fowler, A. C.

GFF   Volume: 140   Issue: 2   Special Issue: SI   Pages: 93-105   Published: 2018

https://doi.org/10.1080/11035897.2018.1444671

 

Lipschitz stability for a piecewise linear Schrodinger potential from local Cauchy data

Alessandrini, Giovanni; de Hoop, Maarten, V; Gaburro, Romina; et al.

ASYMPTOTIC ANALYSIS   Volume: 108   Issue: 3   Pages: 115-149   Published: 2018

https://doi.org/10.3233/ASY-171457

Modelling the efficiency of a nanofluid-based direct absorption parabolic trough solar collector

O'Keeffe, G. J.; Mitchell, S. L.; Myers, T. G.; et al.

SOLAR ENERGY   Volume: 159   Pages: 44-54   Published: JAN 1 2018

https://doi.org/10.1016/j.solener.2017.10.066

2017 IEEE POWER & ENERGY SOCIETY GENERAL MEETING   Book Series: IEEE Power and Energy Society General Meeting PESGM   Published: 2017

A practical formula of solutions for a family of linear non-autonomous fractional nabla difference equations

Dassios, Ioannis K.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS   Volume: 339   Special Issue: SI   Pages: 317-328   Published: SEP 2018

https://doi.org/10.1016/j.cam.2017.09.030

Modelling drug release from polymer-free coronary stents with microporous surfaces

Vo, Tuoi T. N.; Morgan, Sarah; McCormick, Christopher; et al.

INTERNATIONAL JOURNAL OF PHARMACEUTICS   Volume: 544   Issue: 2   Special Issue: SI   Pages: 392-401   Published: JUN 15 2018

https://doi.org/10.1016/j.ijpharm.2017.12.007

 

Crystal Nucleation of Tolbutamide in Solution: Relationship to Solvent, Solute Conformation, and Solution Structure

Zeglinski, Jacek; Kuhs, Manuel; Khamar, Dikshitkumar; et al.

CHEMISTRY-A EUROPEAN JOURNAL   Volume: 24   Issue: 19   Pages: 4916-4926   Published: APR 3 2018

https://doi.org/10.1002/chem.201705954

Sinking bubbles in stout beers

By: Lee, W. T.; Kaar, S.; O'Brien, S. B. G.

AMERICAN JOURNAL OF PHYSICS   Volume: 86   Issue: 4   Pages: 250-256   Published: APR 2018

https://doi.org/10.1119/1.5021361

Subtraction multiphase CT angiography: A new technique for faster detection of intracranial arterial occlusions

Byrne, Danielle; Walsh, John P.; Sugrue, Gavin; et al.

EUROPEAN RADIOLOGY   Volume: 28   Issue: 4   Pages: 1731-1738   Published: APR 2018

https://doi.org/10.1007/s00330-017-5124-1

Exact analytical solution of irreversible binary dynamics on networks

Laurence, Edward; Young, Jean-Gabriel; Melnik, Sergey; et al.

PHYSICAL REVIEW E   Volume: 97   Issue: 3     Article Number: 032302   Published: MAR 2 2018

https://doi.org/10.1103?PhysRevE.97..032302

Microbial dormancy and boom-and-bust population dynamics under starvation stress

Fowler, A. C.; Winstanley, H. F.

THEORETICAL POPULATION BIOLOGY   Volume: 120   Pages: 114-120  Published: MAR 2018

https://doi.org/10.1016/j.tpb.2018.02.001

A stability result for a network of two triple junctions on the plane

Boutarfa, Bariza; Dassios, Ioannis K.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES   Volume: 40   Issue: 17   Special Issue: SI   Pages: 6076-6084   Published: NOV 30 2017

http://doi.org/10.1002/mma.3767

Geometric relation between two different types of initial conditions of singular systems of fractional nabla difference equations

Dassios, I. K.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES   Volume: 40   Issue: 17   Special Issue: SI   Pages: 6085-6095   Published: NOV 30 2017

http://doi.org/10.1002/mma.3771

Primal and Dual Generalized Eigenvalue Problems for Power Systems Small-Signal Stability Analysis

Milano, Federico; Dassios, Ioannis

IEEE TRANSACTIONS ON POWER SYSTEMS   Volume: 32   Issue: 6   Pages: 4626-4635   Published: NOV 2017

http://doi.org/10.1109/TPWRS.2017.2679128

Temporal profiles of avalanches on networks

By: Gleeson, James P.; Durrett, Rick

NATURE COMMUNICATIONS   Volume: 8     Article Number: 1227   Published: OCT 31 2017

http://doi.org/10.1038/s41467-017-01212-0

Parameter-uniform numerical method for singularly perturbed convection-diffusion problem on a circular domain

Hegarty, A. F.; O'Riordan, E.

ADVANCES IN COMPUTATIONAL MATHEMATICS

Data from the 2016 edition of Journal Citation Reports

ADVANCES IN COMPUTATIONAL MATHEMATICS   Volume: 43   Issue: 5   Pages: 885-909   Published: OCT 2017

http://doi.org/10.1007/s10444-016-9510-z

Closing in on the best supraglottic airway for paediatric anaesthesia?

Norskov, A. K.; Rosenstock, C. V.; Leahy, J.; et al.

ANAESTHESIA   Volume: 72   Issue: 10   Pages: 1167-1170   Published: OCT 2017 http://doi.org/10.1111/anae.13985

On the Keller-Rubinow model for Liesegang ring formation

Duley, J. M.; Fowler, A. C.; Moyles, I. R.; et al.

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES   Volume: 473   Issue: 2205     Article Number: 20170128   Published: SEP 1 2017 http://doi.org/10.1098/rspa.2017.0128

Protective parenting may have population-level consequences

Donohue, John G.; Piiroinen, Petri T.

ECOLOGICAL COMPLEXITY

http://doi.org/10.1016/j.ecocom.2017.04.006

Electrospun API-loaded mixed matrix membranes for controlled release

Castro-Dominguez, B.; Moroney, K.; Schaller, B.; et al.

RSC ADVANCES   Volume: 7   Issue: 68   Pages: 43300-43309   Published: 2017

 

Harms of off-label erythropoiesis-stimulating agents for critically ill people

 Mesgarpour, Bita; Heidinger, Benedikt H.; Roth, Dominik; et al.

COCHRANE DATABASE OF SYSTEMATIC REVIEWS   Issue: 8     Article Number: CD010969   Published: 2017

Concurrency-Induced Transitions in Epidemic Dynamics on Temporal Networks

Onaga, Tomokatsu; Gleeson, James P.; Masuda, Naoki

PHYSICAL REVIEW LETTERS

Data from the 2016 edition of Journal Citation Reports

PHYSICAL REVIEW LETTERS   Volume: 119   Issue: 10     Article Number: 108301   Published: SEP 6 2017

https://doi.org/10.1103/PhysRevLett.119.108301

Numerical simulations of drumlin formation

Fannon, J. S.; Fowler, A. C.; Moyles, I. R.

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES   Volume: 473   Issue: 2204     Article Number: 20170220   Published: AUG 1 2017

http:/dx.doi.org/10.1098/rspa.2017.0220

Verified reduction of a model for a continuous casting process

Mitchell, S. L.; Vynnycky, M.

APPLIED MATHEMATICAL MODELLING   Volume: 48   Pages: 476-490   Published: AUG 2017

https://doi.org/10.1016/j.apm.2017.04.004

Integrating sentiment and social structure to determine preference alignments: the Irish Marriage Referendum

O'Sullivan, David J. P.; Garduno-Hernandez, Guillermo; Gleeson, James P.; et al.

ROYAL SOCIETY OPEN SCIENCE   Volume: 4   Issue: 7     Article Number: 170154   Published: JUL 2017

http://doi.org/10.1098/rsos.170154

Mathematical modelling of contact lens moulding

Murphy, Ellen A.; Lee, William T.

IMA JOURNAL OF APPLIED MATHEMATICS   Volume: 82   Issue: 3   Pages: 473-495   Published: JUN 2017

https://doi.org/10.1093/imamat/hxw060

Carbon dioxide emissions from a septic tank soakaway in a northern maritime climate

Somlai-Haase, Celia; Knappe, Jan; Gill, Laurence

SCIENCE OF THE TOTAL ENVIRONMENT Volume: 586   Pages: 485-491   Published: MAY 15 2017

http://dx.doi.org/10.1016/j.scitotenv.2017.01.206

Inducing truthful revelation of generator reliability

Devine Mel T. Lynch Muireann A.

Energy Economics

Volume 64, May 2017, Pages 186-195

https://doi.org/10.1016/j.eneco.2017.03.017

 

Near-infrared monitoring of roller compacted ribbon density: Investigating sources of variation contributing to noisy spectral data

Crowley, Mary Ellen; Hegarty, Avril; McAuliffe, Michael A. P.; et al.

EUROPEAN JOURNAL OF PHARMACEUTICAL SCIENCES   Volume: 102   Pages: 103-114   Published: MAY 1 2017

http://doi.org/10.1016/j.ejps.2017.02.024

On the formation of fold-type oscillation marks in the continuous casting of steel

Vynnycky, M.; Saleem, S.; Devine, K. M.; et al.

ROYAL SOCIETY OPEN SCIENCE   Volume: 4   Issue: 6     Article Number: 170062   Published: JUN 2017

http:/dx.doi.org/10.1098/rsos.170062

Interacting convection modes in a saturated porous medium of nearly square planform: four modes

Florio, Brendan J.; Bassom, Andrew P.; Sakellariou, Konstantinos; et al.

IMA JOURNAL OF APPLIED MATHEMATICS   Volume: 82   Issue: 3   Pages: 526-547   Published: JUN 2017

http:/dx.doi.org/10.1093/imamat/hxx001

A decomposition of the Bradley-Blackwood paired-samples omnibus test

Hayes, Kevin; O'Brien, Kevin; Kinsella, Anthony

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS   Volume: 46   Issue: 20   Pages: 9892-9896   Published: 2017

http:/dx.doi.org/10.1080/03610926.2016.1222439

A soft sensor for the Bayer process

Cregan, Vincent; Lee, William T.; Clune, Louise

JOURNAL OF MATHEMATICS IN INDUSTRY   Volume: 7     Article Number: 7

Published May 2017

http:/dx.doi.org/10.1186/s13362-017-0037-9

Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities

Alessandrini, Giovanni; de Hoop, Maarten V.; Gaburro, Romina; et al.

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES Volume: 107   Issue: 5   Pages: 638-664   Published: MAY 2017

http://dx.doi.org/10.1016/j.matpur.2016.10.001

Modelling Chemistry and Biology  after Implantation of a Drug-Eluting Stent.  PART I: DRUG TRANSPORT

Vo, Tuoi; Lee, William; Peddle, Adam; et al.

MATHEMATICAL BIOSCIENCES AND ENGINEERING Volume: 14   Issue: 2   Pages: 491-509   Published: APR 2017

http://dx.doi.org/10.3934/mbe.2017030

Equivalence between Non-Markovian and Markovian Dynamics in Epidemic Spreading Processes

Starnini, Michele; Gleeson, James P.; Boguna, Marian

PHYSICAL REVIEW LETTERS    Volume: 118   Issue: 12     Article Number: 128301   Published: MAR 24 2017

http://dx.doi.org/10.1103/PhysRevLett.118.128301

Optimising feed-in tariff design through efficient risk allocation

Devine, Mel T.; Farrell, Niall; Lee, William T.

SUSTAINABLE ENERGY GRIDS & NETWORKS Volume: 9   Pages: 59-74   Published: MAR 2017

https://doi.org/10.1016/j.segan.2016.12.003

Investment vs. Refurbishment: Examining Capacity Payment Mechanisms Using Stochastic Mixed Complementarity Problems

Lynch, Muireann A.; Devine, Mel T.

ENERGY JOURNAL Volume: 38   Issue: 2   Pages: 27-51   Published: MAR 2017

http://dx.doi.org/10.5547/01956574.38.2.mlyn

Specifying An Efficient Renewable Energy Feed-in Tariff

Farrell, Niall; Devine, Mel T.; Lee, William T.; et al.

ENERGY JOURNAL  Volume: 38   Issue: 2   Pages: 53-75   Published: MAR 2017

http://dx.doi.org/10.5547/01956574.38.2.nfar

A mathematical model for plasticity and damage: A discrete calculus formulation

Dassios, Ioannis; Jivkov, Andrey P.; Abu-Muharib, Andrew; et al.

Conference: International Conference on Mathematical and Computational Modelling in Science and Technology Location: Izmir Univ, Izmir, TURKEY Date: AUG 02-07, 2015

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS   Volume: 312   Pages: 27-38   Published: MAR 1 2017

 

A framework for analyzing contagion in assortative banking networks

Hurd, Thomas R.; Gleeson, James P.; Melnik, Sergey

PLOS ONE   Volume: 12   Issue: 2     Article Number: e0170579   Published: FEB 23 2017

https://doi.org/10.1371/journal.pone.0170579

A simulation model for the management and expansion of extended port terminal operations

Cimpeanu, Radu; Devine, Mel T.; O'Brien, Conor

TRANSPORTATION RESEARCH PART E-LOGISTICS AND TRANSPORTATION REVIEW   Volume: 98   Pages: 105-131   Published: FEB 2017

https://doi.org/10.1016/j.tre.2016.12.005

 

An asymptotic analysis of the laminar-turbulent transition of yield stress fluids in pipes

Myers, Tim G.; Mitchell, Sarah L.; Slatter, Paul

8TH WORKSHOP ON MULTI-RATE PROCESSES AND HYSTERESIS AND THE HYSTERESIS AND SLOW-FAST SYSTEMS (HSFS) WORKSHOP

Book Series: Journal of Physics Conference Series   Volume: 811  Article Number: UNSP 012007   Published: 2017

http://dx.doi.org/iopscience.iop.org/1742-6596/811/1/012007

Existence, Stability, and Dynamics of Ring and Near-Ring Solutions to the Saturated Gierer-Meinhardt Model in the Semistrong Regime

Moyles, Iain R.; Ward, Michael J.

SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS   Volume: 16   Issue: 1   Pages: 597-639   Published: 2017

https://doi.org/10.1137/16M1060327

The association between weight perception and BMI: report and measurement data from the growing up in Ireland Cohort Study of 9-year olds

Shiely, F.; Ng, H. Y.; Berkery, E. M.; et al.

INTERNATIONAL JOURNAL OF OBESITY   Volume: 41   Issue: 1   Pages: 46-53   Published: JAN 2017

http://dx.doi.org/10.1038/ijo.2016.162

Effects of false-start disqualification rules on response-times of elite-standard sprinters

Brosnan, Kevin C.; Hayes, Kevin; Harrison, Andrew J.

JOURNAL OF SPORTS SCIENCES   Volume: 35   Issue: 10   Pages: 929-935   Published: 2017

http://dx.doi.org/10.1080/02640414.2016.1201213

On the interactive effects of mould taper and superheat on air gaps in continuous casting

Florio, B. J.; Vynnycky, M.; Mitchell, S. L.; et al.

ACTA MECHANICA   Volume: 228   Issue: 1   Pages: 233-254   Published: JAN 2017

http://dx.doi.org/10.1007/s00707-016-1717-z

Stability and Robustness of Singular Systems of Fractional Nabla Difference Equations

Dassios, Ioannis K.

CIRCUITS SYSTEMS AND SIGNAL PROCESSING   Volume: 36   Issue: 1   Pages: 49-64   Published: JAN 2017

http://dx.doi.org/10.1007/s00034-016-0291-x

A model of flow in a sugar diffuser.Hocking, G. C.; Mitchell, S. L.,

IMA JOURNAL OF APPLIED MATHEMATICS  Volume: 81 Issue: 6

Pages: 984-998   Published: DEC 2016

http://dx.doi.org/10.1093/imamat/hxw020

Limitations of discrete-time approaches to continuous-time contagion dynamics

Fennell, Peter G.; Melnik, Sergey; Gleeson, James P.

PHYSICAL REVIEW E Volume: 94   Issue: 5  Article Number: 052125   Published: NOV 16 2016

https://arxiv.org/abs/1603.01132

 

Visualizing voltage relationships using the unity row summation and real valued properties of the F-LG matrix

Dassios, Ioannis K.; Cuffe, Paul; Keane, Andrew

ELECTRIC POWER SYSTEMS RESEARCH   Volume: 140   Pages: 611-618   Published: NOV 2016

http://dx.doi.org/10.1016/j.epsr.2016.05.01

Stability of thin liquid curtains

Benilov, E. S.; Barros, R.; O'Brien, S. B. G.

PHYSICAL REVIEW E   Volume: 94   Issue: 4     Article Number: 043110   Published: OCT 21 2016

http://dx.doi.org/10.1103/PhysRevE.94.043110

Small-Signal Stability Analysis for Non-Index 1 Hessenberg Form Systems of Delay Differential-Algebraic Equations

Milano, Federico; Dassios, Ioannis

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS   Volume: 63   Issue: 9   Pages: 1521-1530   Published: SEP 2016

http://dx.doi.org/10.1109/TCSI.2016.2570944

Maximum-norm a posteriori error estimates for singularly perturbed elliptic reaction-diffusion problems

By: Demlow, Alan; Kopteva, Natalia

NUMERISCHE MATHEMATIK   Volume: 133   Issue: 4   Pages: 707-742   Published: AUG 2016

http://dx.doi.org/10.1007/s00211-015-0763-0

Particle-laden viscous channel flows: Model regularization and parameter study

Ó. Náraigh Lennon, Barros Ricardo

European Journal of Mechanics - B/Fluids Volume 59, Pages 90–98 Published

September–October 2016

http://dx.doi.org/10.1016/j.euromechflu.2016.05.005

Analytic Loss Minimization: A Proof

Cuffe, Paul; Dassios, Ioannis; Keane, Andrew

IEEE TRANSACTIONS ON POWER SYSTEMS   Volume: 31   Issue: 4   Pages: 3322-3323   Published: JUL 2016.

http://dx.doi.org/10.1109/tpwrs.2015.2479408

On the accurate numerical solution of a two-phase Stefan problem with phase formation and depletion

Mitchell, S. L.; Vynnycky, M.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS   Volume: 300   Pages: 259-274   Published: JUL 2016

http://dx.doi.org/10.1016/j.cam.2015.12.021

Stability of a liquid bridge under vibration

Benilov, E. S.

PHYSICAL REVIEW E   Volume: 93   Issue: 6     Article Number: 063118   Published: JUN 27 2016  

http://dx.doi.org/10.1103/PhysRevE.93.063118

Emergence of coexisting percolating clusters in networks

Faqeeh, Ali; Melnik, Sergey; Colomer-de-Simon, Pol; et al.

PHYSICAL REVIEW E   Volume: 93   Issue: 6     Article Number: 062308   Published: JUN 14 2016

http://dx.doi.org/10.1103/PhysRevE.93.062308

Dynamical Systems on Networks (Book)

J P Gleeson, M A Porter

Published June 2016 Pages 5-18

http://dx.doi.org10.1007/978-3-319-26641-1

A macroeconomic mathematical model for the national income of a union of countries

Dassios, I; Devine M

Journal of Economic Structure Pages 5-18 Published June 2016

http://dx.doi.org/10.1186/s40008-016-0049-4

The melting and solidification of nanowires

B Florio T G Myers

Journal of Nanoparticle Research Published June 2016 Volume 18 Issue 6 Page 168

http://dx.doi.org/10.1007/s11051-016-3469-z

Discovery of relict subglacial lakes and their geometry and mechanism of drainage

Stephen J Livingstone, Daniel J Utting, Alastair Fuffell, Chris D Clark, Steven Pawley, Nigel athinson, Andrew C Fowler

Nature Communications Volume 7 Article 11767 Published June 2016

http://dx.doi.org/10.1038/ncomms11767

Effects of false-start disqualification rules on response-times of elite-standard sprinters

Kevin Brosnan, Kevin Hayes, Drew Harrison

Journal of Sports Science Page 1-7 Published June 2016

http://dx.doi.org/10.1080/02640414.2016.1201213

A theoretical explanation of grain size distributions in explosive rock fragmentation

Andrew Fowler, Bettina Scheu

Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences

Volume 472 Issue 2190 Published June 2016

http://dx.doi.org/10.1098/rspa.2015.0843

Modelling vapour transport in Surtseyan bombs

McGuinness, Mark J.; Greenbank, Emma; Schipper, C. Ian

JOURNAL OF VOLCANOLOGY AND GEOTHERMAL RESEARCH   Volume: 318   Pages: 103-113   Published: MAY 15 2016

http://dx.doi.org/10.1016/j.jvolgeores.2016.03.017

Effects of Network Structure, Competition and Memory Time on Social Spreading Phenomena

Gleeson, James P.; O'Sullivan, Kevin P.; Banos, Raquel A.; et al.

PHYSICAL REVIEW X   Volume: 6   Issue: 2     Article Number: 021019   Published: MAY

13 2016

http:/dx.doi.org/10.1103/physrevx 6 021019

Detecting heart rate while jogging: blind source separation of gait and heartbeat

Tuoi T. N. Vo, Mark McGuinness,  Alan F. Hegarty, Stephen B. G. O’Brien, Kevin O’Sullivan and  Sandra Healy

Mathematics-in-Industry Case Studies2016 Volume 7, Pages 1-12 Published: 26 May 2016

http://dx.doi.org/10.1186/s40929-016-0004-5

The Dynamics of Ascaris lumbricoides Infections:

Fowler, A. C.; Hollingsworth, T. Deirdre,

BULLETIN OF MATHEMATICAL BIOLOGY   Volume: 78  Issue: 4   Pages: 815-833  Published: APR 2016,  

http://dx.doi.org/10.1007/s11538-016-0164-2

Asymptotics of a horizontal liquid bridge

Haynes, M.; O'Brien, S. B. G.; Benilov, E. S.

PHYSICS OF FLUIDS   Volume: 28   Issue: 4     Article Number: 042107   Published: APR 2016  

http://dx.doi.org/10.1063/1.4946001

The development of biofilm architecture

Fowler, A. C.; Kyrke-Smith, T. M.; Winstanley, H. F.

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

SCIENCES   Volume: 472   Issue: 2188     Article Number: 20150798   Published: APR 1 2016   

http://dx.doi.org/10.1098/rspa.2015.0798

Remarks on a Strongly Nonlinear Model for Two-Layer Flows with a Top Free Surface

Barros, Ricardo

STUDIES IN APPLIED MATHEMATICS  Volume: 136  Issue: 3  Pages: 263-287 Published: APR 2016

http://dx.doi.org/10.1111/sapm.12104

Bond Percolation on Multiplex Networks

Hackett, A.; Cellai, D.; Gomez, S.; et al.

PHYSICAL REVIEW X   Volume: 6   Issue: 2     Article Number: 021002   Published: APR 1 2016  

http://dx.doi.org/10.1103/physrevx.6.021002

An asymptotic model for the primary drying stage of vial lyophilization:

Vynnycky, M.,

JOURNAL OF ENGINEERING MATHEMATICS   Volume: 96   Issue: 1  Pages: 175-200   Published: APR 2016,

http://dx.doi.org/10.1007/s10665-015-9789-7

A rolling horizon approach for stochastic mixed complementarity problems with endogenous learning: Application to natural gas markets

Devine, Mel T.; Gabriel, Steven A.; Moryadee, Seksun,

COMPUTERS & OPERATIONS RESEARCH, Vol: 68 Pages: 1-15 Published APR 2016 http://dx.doi.org/10.1016/j.cor.2015.10.013

Semiphenomenological model for gas-liquid phase transitions:

Benilov, E. S.; Benilov, M. S.

PHYSICAL REVIEW E   Volume: 93   Issue: 3     Article Number: 032148   Published: MAR 30 2016,

http://dx.doi.org/10.1103/physreve.93.032148

Convection of a fluid with strongly temperature and pressure dependent viscosity:  

Fowler, A. C.; Howell, P. D.; Khaleque, Tania S.,

GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS   Volume: 110   Issue: 2   Pages: 130-165   Published: MAR 3 2016, http://dx.doi.org/10.1080/03091929.2016.1146264

Multiplex networks with heterogeneous activities of the nodes:

Cellai, Davide; Bianconi, Ginestra,

PHYSICAL REVIEW E   Volume: 93   Issue: 3   Article Number: 032302, Published: MAR 2 2016,  

http://dx.doi.org/10.1103/PhysRevE.93.032302

Bayesian optimal control for a non-autonomous stochastic discrete time system:

Dassios, Ioannis K.; Szajowski, Krzysztof J.,

APPLIED MATHEMATICS AND COMPUTATION   Volume: 274   Pages: 556-564   Published: FEB 1 2016,

http://dx.doi.org/10.1016/j.amc.2015.11.002

Effect of preservation state of planktonic foraminifera tests on the decrease in Mg/Ca due to reductive cleaning and on sample loss during cleaning:

Johnstone, Heather J. H.; Lee, William; Schulz, Michael,

CHEMICAL GEOLOGY   Volume: 420   Pages: 23-36   Published: JAN 20 2016, http://dx.doi.org/10.1016/j.chemgeo.2015.10.045

Preconditioner for a Primal-dual Newton conjugate Gradients Method for compressed Sesing Problems

Dassios I, Fountoulakis K, Gondzio J

SIAM Journal on Scientific Computing Vol 37 Issue 6 Pages A2783-A2812 Published  2016

http://dx.doi.org/10.1137/141002062

Stability of basic steady states of networks in bounded domains

Dassions, Ioannis K

Computers & Mathematics with Applications Volume 70, Issue 9, November 2015, Pages 2177–2196   

http://dx.doi.org/10.1016/j.camwa.2015.08.011

A Unified Approach to Percolation Processes on Multiplex Networks

Gareth J. Baxter, Davide Cellai, Sergey N. Dorogovstev, Alexander V Goltsev, Jose F. f. Mendes

Interconnected Networks Understanding Complex Systems Springer Complexity Page 101-123 Published February 2016

http://dx.doi.org/10.1007/978-3-319-23947-7_6

Moroney, K. M.; Lee, W. T.; O'Brien, S. B. G.; et al. Modelling of coffee extraction during brewing using multiscale methods: An experimentally validated model Chemical Engineering Science Volume: 137 Pages: 216-234 10.1016/j.ces.2015.06.003 (2015)

Krejci, Pavel; Lamba, Harbir; Melnik, Sergey; et al.KURZWEIL INTEGRAL REPRESENTATION OF INTERACTING PRANDTL-ISHLINSKII OPERATORS Discrete and Continuous Dynamical Systems-Series B Volume: 20 Issue: 9 Pages: 2949-2965 10.3934/dcdsb.2015.20.2949 (2015)

Kieran, Jennifer Ann; Norris, Suzanne; O'Leary, Aisling; et al.,Hepatitis C in the era of direct-acting antivirals: real-world costs of untreated chronic hepatitis C; a cross-sectional study BMC Infectious Diseases Volume: 15 Article Number: 471 10.1186/s12879 2015

Reddy, Brian P.; Adams, Roisin; Walsh, Cathal; et al. Using the Analytic Hierarchy Process to Derive Health State Utilities from Ordinal Preference Data Value in Health Volume: 18 Issue: 6 Pages: 841-845 10.1016/j.jval.2015.05.010 (2015)

Fowler, A. C.; Hollingsworth, T. Deirdre, Simple Approximations for Epidemics with Exponential and Fixed Infectious Periods Bulletin of Mathematical Biology Volume: 77 Issue: 8 Pages: 1539-1555 10.1007/s11538-015-0095-3 (2015)

Kyrke-Smith, T. M.; Katz, R. F.; Fowler, A. C., Subglacial hydrology as a control on emergence, scale, and spacing of ice streams Journal of Geophysical Research-Earth Surface Volume: 120 Issue: 8 Pages: 1501-1514 10.1002/2015JF003505 (2015)

Chapwanya, M.; Misra, N. N., A mathematical model of meat cooking based on polymer-solvent analogy Applied Mathematical Modelling Volume: 39 Issue: 14 Pages: 4033-404310.1016/j.apm.2014.12.015 (2015)

McGuinness, M. J.; Singh, H., Modelling the initiation of dust eruptions Journal of Volcanology and Geothermal Research Volume: 299 Pages: 54-67 10.1016/j.jvolgeores.2015.04.008 (2015)

Groarke, E.; O'Brien, L.; Kiely, M.; et al., Streamlining the Management of Blook Group O RH Negative Blood Stock: A Single Centre Irish Experience Conference: 20th Congress of European-Hematology-Association Location: Vienna, AUSTRIA Date: JUN 11-14, 2015 Haematologica Volume: 100 Supplement: 1 Pages: 138-138 Meeting Abstract: P393 (2015)

I.Dassios, Stability of basic steady states of networks in bounded domains. Computers & Mathematics with Applications, Elsevier, Volume 70, Issue 9, pp. 2177-2196 (2015).

I.Dassios. D. Baleanu, Duality of singular linear systems of fractional nabla difference equations. Applied Mathematical Modeling, Elsevier, Volume 39, Issue 14, pp. 4180-4195 (2015).

I. Dassios, Optimal solutions for non-consistent singular linear systems of fractional nabla difference equations. Circuits, Systems and Signal Processing, Springer, Volume 34, Issue 6, pp. 1769-1797 (2015).

I. Dassios, On a Boundary Value Problem of a Singular Discrete Time System with a Singular Pencil, Dynamics of continuous. Discrete and Impulsive Systems Series A: Mathematical Analysis, Volume 22, Issue 3, pp. 211-231 (2015).

H.F. Winstanley, M Chapwanya, A.C. Fowler, S.B.G. O'Brien, A 2D channel-clogging biofilm modelJOURNAL OF MATHEMATICAL BIOLOGY Volume: 71 Issue: 3, Pages: 647-66810.1007/s00285-014-0833-4

T.S.Khaleque, A.C. Fowler, P.D. Howell, M Vynnycky, Numerical studies of thermal convection with temperature-and pressure-dependent viscosity at extreme viscosity contrasts Physics of Fluids Volume: 27 Issue: 7 Article Number: 076603 10.1063/1.4923061

A.Faqeeh, S.Melnik, J P Gleeson, Network cloning unfolds the effect of clustering on dynamical processes Physical Review E Volume 91 Issue 5, Article Numbers 052807,10.1103/PhysRevE.91.052807

B. J. Florio, A.P. Bassomb, N. Fowkes, K.Juddb, T.Stemler, The nonlinear interaction of convection modes in a box of a saturated porous medium Physica D: Nonlinear Phenomena Volumes 301-302 Pages 48-5810.1016/j.physd.2015.03.010"

S. McGinty, T.T.N Vo, M. Meere, S. McKee & C. McCormick, Some design considerations for polymer-free drug-eluting stents: A mathematical approach Acta Biomaterialia Volume 18,pages 213-224 DOI: 10.1016/j.actbio.2015.02.006

M Vynnycky "An asymptotic model for the primary drying stage of vial lyophilization" Journal of Engineering Mathematics pages 1-26, 10.1007/s10665-015-9789-7

M Vynnycky & A. D. Gordon "Non-isothermal hydrophobicity-dependenttwo-phase flow in the porous cathode gas diffusion layer of a polymer electrolyte fuel cell" Journal of Engineering Mathematics Volume 92, pages 123-146 DOI: 10.1007/s10665-014-9748-8

S.L. Mitchell, M. Vynnycky "The oxygen diffusion problem: Analysis and numerical solution" Applied Mathematical Modelling", Volume 39, pages 2763-2776 http://doi.org/10.1016/j.apm.2014.10.068

I. Dassios, D. Baleanu, "Duality of singular linear systems of fractional nabla difference equations". Applied Mathematical Modeling", Elsevier, Volume 39, Issue 14, pages: 4180-419510.1016/j.apm.2014.12.039 (2015).

I.Dassios," Optimal solutions for non-consistent singular linear systems of fractional nabla difference equations". Circuits, Systems and Signal Processing, Springer, Volume 34, Issue 6, pages 1769-1797 10.1007/s00034-014-9930-2 (2015).

S. L. Mitchell "Applying the combined integral method to two-phase Stefan problems with delayed onset of phase change" JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 281 Pages: 58-73 DOI: 10.1016/j.cam.2014.11.051

T.N. Vo, M. G. Meere, Martin "A Mathematical Model for the Release of Peptide-Binding Drugs from Affinity Hydrogels" CELLULAR AND MOLECULAR BIOENGINEERING Volume: 8Issue: 1 Pages: 197-212 DOI: 0.1007/s12195-014-0375-2

A.K Sharma; E. Birgersson, M. Vynnycky "Towards computationally-efficient modeling of transport phenomena in three-dimensional monolithic channels" APPLIED MATHEMATICS AND COMPUTATION Volume: 254 Pages: 392-407 DOI: 10.1016/j.amc.2015.01.042

M.Vynnycky, K Kanev. "Mathematical Analysis of the Multisolution Phenomenon in the P3P Problem JOURNAL OF MATHEMATICAL IMAGING AND VISION Volume: 51 Issue: 2 Pages: 326-337 DOI: 10.1007/s10851-014-0525-0

F. Font, T.G. Myers, S.L. Mitchell, "A mathematical model for nanoparticle melting with density change MICROFLUIDICS AND NANOFLUIDICS Volume: 18 Issue: 2 Pages: 233-243 DOI:10.1007/s10404-014-1423-x

A. C. Fowler, A.C. Rust, M. Vynnycky, "The formation of vesicular cylinders in pahoehoe lava flows" GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS Volume: 109 Issue: 1 Pages: 39-61 DOI: 10.1080/03091929.2014.955799

A. C Fowler "A Simple Thousand-Year Prognosis for Oceanic and Atmospheric Carbon Change" PURE AND APPLIED GEOPHYSICS Volume: 172 Issue: 1 Pages: 49-56

M. J. McGuinness, L. B. Cribbin, H. F. Winstanley, et al "Modelling spatial oscillations in soil borehole bacteria" JOURNAL OF THEORETICAL BIOLOGY Volume: 363 Pages: 74-79 DOI:10.1016/j.jtbi.2014.08.017

L.B. Cribbin, H.F. Winstanley, S. L. Mitchell, et al. "Reaction front formation in contaminant plumes" JOURNAL OF CONTAMINANT HYDROLOGY Volume: 171 Pages: 12-21 DOI:10.1016/j.jconhyd.2014.10.006

R Barros, W Choi "Elementary stratified flows with stability at low Richardson number" PHYSICS OF FLUIDS Volume: 26 Issue: 12 Article Number: 124107 DOI: 10.1063/1.4904871

I. Dassios, A. Zimbidis,C. Kontzalis, The Delay Effect in a Stochastic Multiplier�Accelerator Model. Journal of Economic Structures, Springer, Volume 3, Issue 7, pp. 1-24 (2014).

C. C. Adley, M. J. Cooker, G.L. Fay, I. Hewitt, A. A. Lacey, N. Mellgren, M. Robinson, M Vynnycky "A Mathematical Model of the Rainwater Flows in a Green Roof" Mathematics-in-Industry Case Studies Journal, Volume 6, pages 1-21

I. Dassios, A. Zimbidis C. Kontzalis, "The delay effect in classical Samuelson's model". Journal of Economic Structures, Springer., Volume 3, Issue 7, pages. 1-24 10.1186/s40008-014-0007-y

P. Donnellan, K. Cronin, W. Lee, et al. "Analysis of mixing of impinging radial jets with crossflow" CHEMICAL ENGINEERING SCIENCE Volume: 119 Pages: 10-21

A. C. Fowler, M. Chapwanya "An instability theory for the formation of ribbed moraine, drumlins and mega-scale glacial lineations" PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES Volume: 470 Issue: 2171 Article Number: 20140185 DOI: 10.1098/rspa.2014.0185

T. M. Kyrke-Smith, A. C. Fowler "Subglacial swamps" PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES Volume: 470 Issue: 2171 Article Number: 20140340 DOI: 10.1098/rspa.2014.0340

P. G. Fennell, J. P. Gleeson, D. Cellai "Analytical approach to the dynamics of facilitated spin models on random networks" PHYSICAL REVIEW E Volume: 90 Issue: 3 Article Number: 032824 DOI: 10.1103/PhysRevE.90.032824

P. Krejci, H. Lamba, S. Melnik, et al. "Analytical solution for a class of network dynamics with mechanical and financial applications" PHYSICAL REVIEW E Volume: 90 Issue: 3 Article Number: 032822 DOI: 10.1103/PhysRevE.90.032822

S.L Mitchell, "An accurate application of the integral method applied to the diffusion of oxygen in absorbing tissue" APPLIED MATHEMATICAL MODELLING Volume: 38 Issue: 17-18 Special Issue: SI Pages: 4396-4408 DOI: 10.1016/j.apm.2014.02.021

S. Melnik, M.A. Porter, P. J. Mucha, et al. "Dynamics on modular networks with heterogeneous correlations" CHAOS Volume: 24 Issue: 2 Article Number: 023106 DOI: 10.1063/1.4869983

M.T. Devine, J.P.Gleeson, J.Kinsella, et al. "A Rolling Optimisation Model of the UK Natural Gas Market" NETWORKS & SPATIAL ECONOMICS Volume: 14 Issue:2 Pages: 209-244 DOI:10.1007/s11067-013-9216-4

A.Hannigan, A. C. Hegarty, D McGrath, "Attitudes towards statistics of graduate entry medical students: the role of prior learning experiences" BMC MEDICAL EDUCATION Volume: 14Article Number: 70 DOI: 10.1186/1472-6920-14-70

S.L. Mitchell, M Vynnycky (2014) "On the numerical solution of two-phase Stefan problems with heat-flux boundary conditions" JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 264 DOI: 10.1016/j.cam.2014.01.003

G.J. Baxter, S. N Dorogovtsev, J.F.F. Mendes (2014) "Weak percolation on multiplex networks" PHYSICAL REVIEW E Volume: 89 Issue: 4 Article Number: 042801 DOI:10.1103/PhysRevE.89.042801

M. Vynnycky, M.A. O'Brien (2014) "The slow, steady ascent of a hot solid sphere in a Newtonian fluid with strongly temperature-dependent viscosity" APPLIED MATHEMATICS AND COMPUTATION Volume: 231231-253 DOI: 10.1016/j.amc.2013.12.078

D.M. Walsh, K. O'Sullivan, W.T. Lee, et al. (2014) "When to invest in carbon capture and storage technology: A mathematical model" Energy Economics Volume: 42 219-225 DOI:10.1016/j.eneco.2013.12.012

A.C. Fowler, H.F. Winstanley, M.J McGuinness, et al. (2014) "Oscillations in soil bacterial redox reactions" JOURNAL OF THEORETICAL BIOLOGY Volume: 342 33-38 DOI:10.1016/j.jtbi.2013.10.010

J.P. Gleeson, J.A. Ward, K.P. O'Sullivan, et al. (2014) "Competition-Induced Criticality in a Model of Meme Popularity" PHYSICAL REVIEW LETTERS Volume: 112 Issue: 4 Article Number: 048701 DOI: 10.1103/PhysRevLett.112.048701

T.M. Kyrke-Smith, R.F. Katz, A.C. Fowler(2014) "Subglacial hydrology and the formation of ice streams" PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES Volume: 470 Issue: 2161 Article Number: 20130494 DOI: 10.1098/rspa.2013.0494

M. Vynnycky, M.A. O'Brien (2014) "A quasi-asymptotic model for the ascent of magmatic diapirs" GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS Volume: 108 Issue: 1 20-43 DOI: 10.1080/03091929.2013.819097

A.C. Fowler (2014) "Respiratory Control and the Onset of Periodic Breathing" MATHEMATICAL MODELLING OF NATURAL PHENOMENA Volume: 9 Issue: 1 39-57 DOI:10.1051/mmnp/2011-9104

J.F. Mason, N. Humphries, P.T. Piiroinen (2014) "Numerical analysis of codimension-one, -two and -three bifurcations in a periodically-forced impact oscillator with two discontinuity surfaces" MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 95 Special Issue: SI 98-110 DOI: 10.1016/j.matcom.2012.08.010

M Vynnycky, S. L. Mitchell "On the Accuracy of a Finite-Difference Method for Parabolic partial Differential Equations with Discontinuous Boundary Conditions" Nemerical Heat Transfer, Part B Volume 64 pages 275-292 DOI: 10.1080/10407790.2013.797312

A. K. Sharma, E. Birgersson, M Vynnycky "An Aggregate Measure for the Local Current Density Coupling in Fuel Cell Stacks " Journal of the Electrochemical Society Volume 160 pages F1237-F1240 DOI: 10.1149/2.050311jes

M Vynnycky, W. T. Lee, S. L. Mitchell & G. Richardson "Foam formation in the plastics industry". Mathematics-in-Industry Case Studies Journal Volume 5 pages 27-42

V. Cregan, S.B.G. O'Brien (2013) "Higher order asymptotic solutiohns for spin-coating with evaporation. Applied Mathematics and Computation Volume 223 76-88.

T.T. N. Vo, M. G. Meere (2013) "Minimizing the passive release of heparin-binding growth factors from an affinity-based delivery system" MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA Volume: 30 Issue: 4 357-382 DOI:10.1093/imammb/dqs027

D. Cellai, E. Lopez, J. Zhou, et al. (2013) "Percolation in multiplex networks with overlap" PHYSICAL REVIEW E Volume: 88 Issue: 5 Article Number: DOI: 10.1103/PhysRevE.88.052811

M. Vynnycky, Y Masuda (2013) "Rayleigh-Benard convection at high Rayleigh number and infinite Prandtl number: Asymptotics and numerics" PHYSICS OF FLUIDS Volume: 25.Issue: 11 Article Number: 113602 DOI:10.1063/1.4829450

A.K Sharma, E. Birgersson, M Vynnycky, et al. (2013) "On the interchangeability of potentiostatic and galvanostatic boundary conditions for fuel cells" ELECTROCHIMICA ACTA Volume: 109 617-622 DOI: 10.1016/j.electacta.2013.07.092

V.Cregan, S.B.G. O'Brien (2013)"Extended asymptotic solutions to the spin-coating model with small evaporation" APPLIED MATHEMATICS AND COMPUTATION Volume: 223 76-87 DOI: 10.1016/j.amc.2013.07.071

H.F. Winstanley, A.C. Fowler (2013) "Biomat Development in Soil Treatment Units for On-site Wastewater Treatment" BULLETIN OF MATHEMATICAL BIOLOGY Volume: 75 Issue: 10 1985-2001 DOI: 10.1007/s11538-013-9881-y

T. Zhelev, K.Semkov, E.Mooney, T. Majozi, A. Korobeinikov (2013) "Industrial Heat Utilization Through Water Management" Heat Transfer Engineering 34 14 Special Issue: SI 1191-1201 DOI: 10.1080/01457632.2013.776888

K. Cronin, J. P Gleeson (2013) "Variability in output torque of capstan and wrap spring elements" Mechanism and Machine Theory 68 49-66 DOI: 10.1016/j.mechmachthecny.2013.04.014

M. Vynnycky (2013) "On the onset of air-gap formation in vertical continuous casting with superheat" International Journal of Mechanical Sciences 73 69-76 DOI:10.1016/j.ijmecsci.2013.04.007

S. O'Regan, T. C. Kelly, A. Korobeinikov, et al. (2013) "Chaos in a seasonally perturbed SIR model: avian influenza in a seabird colony as a paradigm" Journal of Mathematical Biology 67 2 293-327 DOI:10.1007/s00285-012-0550-9

M. Vynnycky, A. K. Sharma, E. Birgersson (2013) "A finite-element method for the weakly compressible parabolized steady 3D Navier-Stokes equations in a channel with a permeable wall"Computers & Fluids 81 152-161 DOI: 10.1016/j.compfluid.2013.04.014

F. Font, S. L. Mitchell, T. G. Myers (2013) "One-dimensional solidification of supercooled melts" International Journal of Heat and Mass Transfer 62 411-421 DOI:10.1016/j.ijheatmasstransfer.2013.02.070

M. Vynnycky, A. Gordon (2013) "On the hydrophobicity and hydrophilicity of the cathode gas diffusion layer in a polymer electrolyte fuel cell" Proceedings of the Royal Society - A-Mathematical Physical and Engineering Sciences 469 2154 Article number: 20120695 DOI: 10.1098/rspa.2012.0695

A. Hackett, J.P. Gleeson (2013) "Cascades on clique-based graphs" Physical Reviwe E 87 6 Article Number: 062801 DOI: 10.1103/PhysRevE.87.062801

E. S. Benilov, V. N Lapin (2013) "On resonant over-reflection of waves by jets" Geophysical and Astrophysical Fluid Dynamics 107 3 304-327 DOI: 10.1080/03091929.2012.709515

M. Vynnycky, N. Ipek (2013) "Multiple bulk-reaction asymptotics and the electrochemical pickling of steel" Journal of Engineering Mathematics 80 1 105-128 DOI: 10.1007/s10665-012-9592-7

P. Verdin, J.P.F. Charpin (2013) "Multi-Stepping Ice Prediction on Cylinders and Other Relevant Geometries" Journal of Aircraft 50 3 871-878 DOI: 10.2514/1.C032033

M. Vynnycky, M.A. O'Brien (2013) Slow, steady ascent in a power-law fluid with temperature-dependent viscosity Journal of Non-Newtonian Fluid Mechanics 195 9-18 DOI:10.1016/j.jnnfm.2012.12.00

J.P. Gleeson (2013) "Binary-State Dynamics on Complex Networks: Pair Approximation and Beyond" Physical Review X 3 2 Aritical Number 021004 DOI:10.1103/PhysRevX.3.021004

A. V. Melnik, A. Korobeinikov (2013) "Lyapunov Functions and Global Stability for Sir and Seir Models with Age-Dependent Susceptibility" Mathematical Biossciences and Engineering 102 369-378 DOI: 10.3934/mbe.2013.10.369

V. Cregan, S.B.G. O'Brien, J.P. Charpin, et al (2013) "Temperature evolution in a partially submerged approximate cheese cylinder" Journal of Food Engineering 115 3 398-406 DOI:10.1016/j.jfoodeng.2012.10.022

E. S. Benilov, W. T. Lee, R.O Sedakov (2013) "Stability of frozen waves in the modified Cahn-Hilliard model" Physical Review E 87 3 Article Number 032138 DOI:10.1103/PhysRevE.87.032138

S. Melnik, J. A. Ward, J. P Gleeson, et al (2013) "Multi-stage complex contagions" CHAOS 23 1 Article Number 013124 DOI: DOI: 10.1063/1.4790836

C. Vargas-De-Leon, A Korobeinikov (2013) "Global stability of a population dynamics model with inhibition and negative feedback" Mathematical Medicine and Biology a Journal of the IMA 30 1 65-72 DOI: DOI: 10.1093/imammb/dqr027

E. S. Benilov, M. Vynnycky (2013) "Contact lines with a 180 degrees contact angle" Journal of Fluid Mechanics 718 481-506 DOI:10.1017/jfm.2012.625

D. Cellai, A. Lawlor, K.A. Dawson, et al.(2013) "Critical phenomena in heterogeneous k-core percolation" Physical review E 87 2 Article Number 022134 DOI::10.1103/PhysRevE.87.022134

C. R Stokes, A. C. Fowler, C. D. Clark, R.C. A Hindmarsh, M. Spagnolo (2013) "The instability theory of drumlin formation and its explanation of their varied composition and internal structure" Quaternary Science Reviews 62 77-96 DOI: 10.1016/j.quascirev.2012.11.011

M. Vynnycky (2013) "On the role of radiative heat transfer in air gap's in vertical continuous casting" Applied Mathematical Modelling 37 4 2178-2188 DOI:10.1016/j.apm.2012.05.005

E.S. Benilov, C.P. Cummins, W.T. Lee (2013) "Why do bubbles in Guinness sink?" American Journal of Physics 81 2 88-91 DOI:10.1119/1.4769377

A.C. Fowler (2013) "The motion of ice stream margins" Journal of Fluid Mechanics 714 1-4 DOI:10.1017/jfm.2012.504

A.C. Fowler (2013) Journal of Glaciology 59 213 190-192 DOI: 10.3189/2013JoG12J164 (Correspondence)

G. Ambartsoumian, R. Felea, V.P. Krishnan, C. Nolan, E.T. Quinto,(2013) "A class of singular Fourier integral operators in Synthetic Aperture Radar imaging" Journal Of Functional Analysis264 1 246-269 DOI: 10.1016/j.jfa.2012.10.008

T.G.Myers, S.L.Mitchell, F Font,(2012) "Energy conservation in the one-phase supercooled Stefan problem" International Communications in Heat and Mass Transfer 39 10 1522-1525 DOI:10.1016/j.icheatmasstransfer.2012.09.005

M.J. McGuinness, B. Scheu, A.C. Fowler (2012) " Explosive fragmentation criteria and velocities for vesicular magma." Journal of Volcanology and Geothermal Research 237 81-96. DOI:10.1016/j.jvolgeores.2012.05.019.

C. de Paor, K. Cronin, J.P. Gleeson (2012) "Statistical characterisation and modelling of random geometric imperfections in cylindrical shells." Thin-Walled Structures 58 9-17. DOI:10.1016/j.tws.2012.04.004.

S.L.Mitchell, S.B.G, O'Brien (2012) "Asymptotic, numerical and approximate techniques for a free boundary problem arising in the diffusion of glassy polymers" Applied Mathematics and Computation 219 376-388 DOI: 10.1016/j.amc.2012.06.026

M. Vynnycky, N Maeno (2012) "Axisymmetric natural convection-driven evaporation of water: Analysis and numerical solution" International Journal of Heat and Mass Transfer 55 6238-6249. DOI: 10.1016/j.ijheatmasstransfer.2012.06.053.

S.L. Mitchell, M. Vynnycky (2012) "An accurate finite-difference method for ablation-type Stefan problems" Journal of Computational and Applied Mathematics 236 4181-4192. DOI:10.1016/j.cam.2012.05.011

M. Vynnycky, N. Maeno (2012) "Axisymmetric natural convection-driven evaporation of hot water and the Mpemba effect" International Journal of Heat and Mass transfer 55 7297-7311. DOI: 10.1016/j.ijheatmasstransfer.2012.07.

M. Vynnycky, M. A. O'Brien (2012) "An asymptotic and numerical study of slow, steady ascent in a Newtonian fluid with temperature-dependent viscosity" Applied Mathematics and Computation 219 3154-3177. DOI: 10.1016/j.amc.2012.09.049

G. Huang, T. Y. Takeucki,and A. Korobeinikov (2012) "HIV evolution and progression of the infection to AIDS" Journal of Theoretical Biology 307 149-159. DOI: 10.1016/j.jtbi.2012.05.013

E. S. Benilov, V. N. Lapin and S. B. G. O'Brien (2012) "On rimming flows with shocks" Journal of engineering Mathematics 75 49-62. DOI: 10.1007/s10665-011-9512-2

R. Yang, T.T. Vo, A. Gorelov, et al. (2012) "A mathematical model for pulsatile release: Controlled release of rhodamine B from UV-crosslinked thermoresponsive thin films" Internationl Journal of Pharmaceutics. 427 320-327. DOI: 10.1016/j.ipharm.2012.02.024

H. Ly, E. Birgersson, and M Vynnycky (2012) "Fuel cell model reduction through the spatial smoothing of flow channels". International Journal of Hydrogen Energy. 37 7779-7795. DOI:10.1016/j.ijhydene.2012.01.129

R. Durrett, J.P. Gleeson, A. L. Lloyd, et al. (2012) "Graph fission in an evolving voter model" Proceedings of the National Academy of Sciences of the United States of America. 109 3682-3687. DOI: 10.1073/pnas.1200709109

J.P. Gleeson, S. Melnik, J. Ward, et al. (2012) "Accuracy of mean-field theory for dynamics on real-world networks" Physical Review E 85 026106 DOI: 10.1103/PhysRevE.85.026106

A.Pimenov, T.C. Kelly, A. Korobeinikov, et al. (2012) "Memory Effects in Population dynamics: Spread of Infectious Disease as a Case Study". Mathematical Modelling of Natural Phenomena 7 204-206. DOI: 10.1051/mmnp/20127313

S.L. Mitchell (2012) "Applying the combined integral method to one-dimensional ablation". Applied Mathematical Modelling 36 127-138. DOI: 10.1016/j.apm.2011.05.032

A.C. Fowler, J.A. Ward, S.B.G. O'Brien (2011) "Acid polishing of lead glass." Journal of Mathematics in Industry DOI: 10.1186/2190-5983-1-1

I. Drobnjak, and A.C. Fowler (2011) " A Model of Oscillatory Blood Cell counts in Chronic Myelogenous Leukaemia". Bulletin of Mathematical Biology 73:2983-3007. DOI: 10.1007/s11538-011-9656-2

E.S. Benilov (2011) "Thin three-dimensional drops on a slowly oscillating substrate". Physical Review E 84:066301 DOI:10.1103/PhysRevE.84.066301

S.L. Mitchell (2011) "An Accurate Nodal Heat Balance Integral Method with Spatial Subdivision" Numerical Heat Transfer Part B-Fundamentals 60:34-56. DOI:10.1080/10407790.2011.588133

V. Cregan. Initial-boundary Value Problems in Industry PhD thesis, University of Limerick, 2012.

H. Ly, E. Birgersson, M. Vynnycky (2011) Computationally efficient multi-phase models for a proton exchange membrane fuel cell: asymptotic reduction and thermal decoupling, Int. J. Hydrogen Energy 36 14573-14589.DOI: 10.1016/j.ijhydene.2011.08.034

M. Vynnycky (2011). "Supporting electrolyte asymptotics and the electrochemical pickling of steel" ((Proc. R. Soc. A,465(2009) 3771-3797), Proc. R. Soc. A 467 3035-3037. DOI:10.1098/rspa.2011.0157

A. C. Fowler (2011). "A note on the derivation of the quasi-geostrophic potential vorticity equation". Geophys. Astrophys. Fluid Dyn. 105:340-350. DOI:10.1080/03091929.2010.531719

W. T. Lee and M. G. Devereux (2011). "Foaming in stout beers". Am. J. Phys. 79:991-998. DOI:10.1119/1.3620416

H. F. Winstanley, M. Chapwanya, M. J. McGuinness and A. C. Fowler (2011). "A polymer-solvent model of biofilm growth". Proc. R. Soc. A-Math. Phys. Eng. Sci. 467:1449-1467. DOI:10.1098/rspa.2010.0327

Adam Hackett, Sergey Melnik and James P. Gleeson (2011). "Cascades on a class of clustered random networks". Phys. Rev. E 83:056107. DOI:10.1103/PhysRevE.83.056107

Jonathan A. Ward and R. Eddie Wilson (2011). "Criteria for convective versus absolute string instability in car-following models". Proc. R. Soc. A-Math. Phys. Eng. Sci. 467:2185-2208. DOI:10.1098/rspa.2010.0437

E. S. Benilov and J. Billingham (2011). "Drops climbing uphill on an oscillating substrate". J. Fluid Mech. 674:93-119. DOI:10.1017/S0022112010006452

S. L. Mitchell, M. Vynnycky, I. G. Gusev and S. S. Sazhin (2011). "An accurate numerical solution for the transient heating of an evaporating spherical droplet". Appl. Math. Comput.217:9219-9233. DOI:10.1016/j.amc.2011.03.161

Christoph Mayer, Andrew C. Fowler, Astrid Lambrecht and Kilian Scharrer (2011). "A surge of North Gasherbrum Glacier, Karakoram, China". J. Glaciol. 57:904-916.

R. E. Wilson and J. A. Ward (2011). "Car-following models: fifty years of linear stability analysis - a mathematical perspective". Transp. Plan. Technol. 34:3-18. DOI:10.1080/03081060.2011.530826

Joanna F. Mason and Petri T. Piiroinen (2011). "Interactions between global and grazing bifurcations in an impacting system". Chaos 21:013113. DOI:10.1063/1.3551502

Michael Chapwanya, Chris D. Clark and Andrew C. Fowler (2011). "Numerical computations of a theoretical model of ribbed moraine formation". Earth Surf. Process. Landf. 36:1105-1112. DOI:10.1002/esp.2138

T. G. Myers and S. L. Mitchell (2011). "Application of the combined integral method to Stefan problems". Appl. Math. Model. 35:4281-4294. DOI:10.1016/j.apm.2011.02.049

C. Sweeney and P. Lynch (2011). "Adaptive post-processing of short-term wind forecasts for energy applications". Wind Energy 14:317-325. DOI:10.1002/we.420

S. B. G. O'Brien (2011). "Lin \& Segel's Standing Gradient Problem Revisited: A Lesson in Mathematical Modeling and Asymptotics". SIAM Rev. 53:775-796. DOI:10.1137/100794274

A. C. Fowler, J. A. Ward and S. B. G. O'Brien (2011). "A simple model for multicomponent etching". J. Colloid Interface Sci. 354:421-423. DOI:10.1016/j.jcis.2010.10.056

W. T. Lee, J. S. McKechnie and M. G. Devereux (2011). "Bubble nucleation in stout beers". Phys. Rev. E 83:051609. DOI:10.1103/PhysRevE.83.051609

James P. Gleeson (2011). "High-Accuracy Approximation of Binary-State Dynamics on Networks". Phys. Rev. Lett. 107:068701. DOI:10.1103/PhysRevLett.107.068701

Andrey V. Melnik and Andrei Korobeinikov (2011). "GLOBAL ASYMPTOTIC PROPERTIES OF STAGED MODELS WITH MULTIPLE PROGRESSION PATHWAYS FOR INFECTIOUS DISEASES". Math. Biosci. Eng. 8:1019-1034. DOI:10.3934/mbe.2011.8.1019

M. Vynnycky and N. Ipek (2011). "Reaction-layer asymptotics and the electrochemical pickling of steel". Proc. R. Soc. A-Math. Phys. Eng. Sci. 467:2534-2560. DOI:10.1098/rspa.2011.0001

M. Vynnycky (2011). "Analysis of a model for the operation of a vanadium redox battery". Energy 36:2242-2256. DOI:10.1016/j.energy.2010.03.060

M. Vynnycky, S. L. Mitchell and N. Maeno (2011). "Evaporative cooling and the Mpemba effect (vol 46, pg 881, 2010)". Heat Mass Transf. 47:863. DOI:10.1007/s00231-010-0759-3

Davide Cellai, Aonghus Lawlor, Kenneth A. Dawson and James P. Gleeson (2011). "Tricritical Point in Heterogeneous k-Core Percolation". Phys. Rev. Lett. 107:175703. DOI:10.1103/PhysRevLett.107.175703

A. C. Fowler (2010). "The instability theory of drumlin formation applied to Newtonian viscous ice of finite depth". Proc. R. Soc. A-Math. Phys. Eng. Sci. 466:2673-2694. DOI:10.1098/rspa.2010.0017

S. L. Mitchell and T. G. Myers (2010). "Improving the accuracy of heat balance integral methods applied to thermal problems with time dependent boundary conditions". Int. J. Heat Mass Transf. 53:3540-3551. DOI:10.1016/j.ijheatmasstransfer.2010.04.015

A. Korobeinikov, P. Read, A. Parshotam and J. Lermit (2010). "Modelling regional markets for co-produced timber and biofuel". Ecol. Econ. 69:553-561. DOI:10.1016/j.ecolecon.2009.09.002

H. Ly, E. Birgersson and M. Vynnycky (2010). "Asymptotically Reduced Model for a Proton Exchange Membrane Fuel Cell Stack: Automated Model Generation and Verification". J. Electrochem. Soc. 157:B982-B992. DOI:10.1149/1.3384864

S. L. Mitchell and T. G. Myers (2010). "Application of Standard and Refined Heat Balance Integral Methods to One-Dimensional Stefan Problems". SIAM Rev. 52:57-86. DOI:10.1137/080733036

E. S. Benilov and A. Oron (2010). "The height of a static liquid column pulled out of an infinite pool". Phys. Fluids 22:102101. DOI:10.1063/1.3484275

Liliana Goncalves-Ferreira, Simon A. T. Redfern, Emilio Artacho, Ekhard Salje and William T. Lee (2010). "Trapping of oxygen vacancies in the twin walls of perovskite". Phys. Rev. B81:024109. DOI:10.1103/PhysRevB.81.024109

M. Vynnycky (2010). "Air gaps in vertical continuous casting in round moulds". J. Eng. Math. 68:129-152. DOI:10.1007/s10665-009-9341-8

V. Cregan, S. B. G. O'Brien and S. McKee (2010). "THE SHAPE OF A SMALL LIQUID DROP ON A CONE AND PLATE RHEOMETER". SIAM J. Appl. Math. 70:2075-2096. DOI:10.1137/090765201

Michael Chapwanya, Stephen O'Brien and J. F. Williams (2010). "A perturbation solution for bacterial growth and bioremediation in a porous medium with bio-clogging". J. Comput. Appl. Math. 234:2709-2723. DOI:10.1016/j.cam.2010.01.024

E. S. Benilov, S. J. Chapman, J. B. Mcleod, J. R. Ockendon and V. S. Zubkov (2010). "On liquid films on an inclined plate". J. Fluid Mech. 663:53-69. DOI:10.1017/S002211201000337X

E. S. Benilov and M. Chugunova (2010). "Waves in liquid films on vibrating substrates". Phys. Rev. E 81:036302. DOI:10.1103/PhysRevE.81.036302

M. Vynnycky and S. L. Mitchell (2010). "Evaporative cooling and the Mpemba effect". Heat Mass Transf. 46:881-890. DOI:10.1007/s00231-010-0637-z

W. T. Lee, A. C. Fowler, O. Power, S. Healy and J. Browne (2010). "Blowing of polycrystalline silicon fuses". Appl. Phys. Lett. 97:023502. DOI:10.1063/1.3457469

James P. Gleeson, Sergey Melnik and Adam Hackett (2010). "How clustering affects the bond percolation threshold in complex networks". Phys. Rev. E 81:066114. DOI:10.1103/PhysRevE.81.066114

E. S. Benilov (2010). "Drops climbing uphill on a slowly oscillating substrate". Phys. Rev. E 82:026320. DOI:10.1103/PhysRevE.82.026320

A. C. Fowler (2010). "The formation of subglacial streams and mega-scale glacial lineations". Proc. R. Soc. A-Math. Phys. Eng. Sci. 466:3181-3201. DOI:10.1098/rspa.2010.0009

Suzanne M. O'Regan, Thomas C. Kelly, Andrei Korobeinikov, Michael J. A. O'Callaghan and Alexei V. Pokrovskii (2010). "Lyapunov functions for SIR and SIRS epidemic models". Appl. Math. Lett. 23:446-448. DOI:10.1016/j.aml.2009.11.014

A. C. Fowler, Bettina Scheu, W. T. Lee and M. J. McGuinness (2010). "A theoretical model of the explosive fragmentation of vesicular magma". Proc. R. Soc. A-Math. Phys. Eng. Sci.466:731-752. DOI:10.1098/rspa.2009.0382

A. C. Fowler, Raquel Toja and Carlos Vazquez (2010). "Temperature-dependent shear flow and the absence of thermal runaway in valley glaciers". Proc. R. Soc. A-Math. Phys. Eng. Sci.466:363-382. DOI:10.1098/rspa.2009.0335

Andrei Korobeinikov (2010). "GLOBAL PROPERTIES OF A GENERAL PREDATOR-PREY MODEL WITH NON-SYMMETRIC ATTACK AND CONSUMPTION RATE". Discrete Contin. Dyn. Syst.-Ser. B 14:1095-1103. DOI:10.3934/dcdsb.2010.14.1095

Jose Caro-Corrales, Kevin Cronin, Xin Gao and Vincent Cregan (2010). "Heat transfer analysis of cheese cooling incorporating uncertainty in temperature measurement locations: Application to the industrial process". J. Food Eng. 99:159-165. DOI:10.1016/j.jfoodeng.2010.02.014

M. Vynnycky and K. I. Borg (2010). "On the application of concentrated solution theory to the forced convective flow of excess supporting electrolyte". Electrochim. Acta 55:7109-7117. DOI:10.1016/j.electacta.2010.06.070

R. J. Zammett and A. C. Fowler (2010). "THE MORPHOLOGY OF THE MARTIAN ICE CAPS: A MATHEMATICAL MODEL OF ICE-DUST KINETICS". SIAM J. Appl. Math. 70:2409-2433. DOI:10.1137/080734558

Andrei Korobeinikov (2009). "Global Properties of SIR and SEIR Epidemic Models with Multiple Parallel Infectious Stages". Bull. Math. Biol. 71:75-83. DOI:10.1007/s11538-008-9352-z

G. I. Shishkin (2009). "Approximation of singularly perturbed parabolic equations in unbounded domains subject to piecewise smooth boundary conditions in the case of solutions that grow at infinity". Comput. Math. Math. Phys. 49:1748-1764. DOI:10.1134/S0965542509100091

T. G. Myers and J. P. F. Charpin (2009). "A mathematical model of the Leidenfrost effect on an axisymmetric droplet". Phys. Fluids 21:063101. DOI:10.1063/1.3155185

P. Verdin, J. P. F. Charpin and C. P. Thompson (2009). "Multistep Results in ICECREMO2". J. Aircr. 46:1607-1613. DOI:10.2514/1.41451

Timothy G. Myers and Sarah L. Mitchell (2009). "APPLICATION OF THE HEAT-BALANCE AND REFINED INTEGRAL METHODS TO THE KORTEWEG-DE VRIES EQUATION". Therm. Sci. 13:113-119. DOI:10.2298/TSCI0902113M

H. Ly, E. Birgersson, M. Vynnycky and A. P. Sasmito (2009). "Validated Reduction and Accelerated Numerical Computation of a Model for the Proton Exchange Membrane Fuel Cell". J. Electrochem. Soc. 156:B1156-B1168. DOI:10.1149/1.3160571

J. Aberg, M. Vynnycky and H. Fredriksson (2009). "Heat-flux measurements of industrial on-site continuous copper casting and their use as boundary conditions for numerical simulations". Trans. Indian Inst. Met. 62:443-446.

Martin Vejmelka, Milan Palus and W. T. Lee (2009). "Phase synchronization analysis by assessment of the phase difference gradient". Chaos 19:023120. DOI:10.1063/1.3143903

Thomas G. Fitzgerald, Richard A. Farrell, Nikolay Petkov, Ciara T. Bolger, Matthew T. Shaw, Jean P. F. Charpin, James P. Gleeson, Justin D. Holmes and Michael A. Morris (2009). "Study on the Combined Effects of Solvent Evaporation and Polymer Flow upon Block Copolymer Self-Assembly and Alignment on Topographic Patterns". Langmuir 25:13551-13560. DOI:10.1021/la9018162

A. C. Fowler, Oliver Clary and Tiina Roose (2009). "A dynamic model of annual foliage growth and carbon uptake in trees". J. R. Soc. Interface 6:1087-1096. DOI:10.1098/rsif.2009.0010

S. L. Mitchell and M. Vynnycky (2009). "Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems". Appl. Math. Comput. 215:1609-1621. DOI:10.1016/j.amc.2009.07.054

Andrei Korobeinikov (2009). "Stability of ecosystem: global properties of a general predator-prey model". Math. Med. Biol. 26:309-321. DOI:10.1093/imammb/dqp009

Andrei Korobeinikov (2009). "Global asymptotic properties of virus dynamics models with dose-dependent parasite reproduction and virulence and non-linear incidence rate". Math. Med. Biol. 26:225-239. DOI:10.1093/imammb/dqp006

M. Vynnycky (2009). "A mathematical model for air-gap formation in vertical continuous casting: the effect of superheat". Trans. Indian Inst. Met. 62:495-498.

A. C. Fowler (2009). "Instability modelling of drumlin formation incorporating lee-side cavity growth". Proc. R. Soc. A-Math. Phys. Eng. Sci. 465:2681-2702. DOI:10.1098/rspa.2008.0490

G. I. Shishkin and L. P. Shishkina (2009). "Finite difference schemes for the singularly perturbed reaction-diffusion equation in the case of spherical symmetry". Comput. Math. Math. Phys. 49:810-826. DOI:10.1134/S0965542509050078

A. C. Fowler (2009). "Dynamics of subglacial floods". Proc. R. Soc. A-Math. Phys. Eng. Sci. 465:1809-1828. DOI:10.1098/rspa.2008.0488

G. I. Shishkin (2009). "Constructive and formal difference schemes for singularly perturbed parabolic equations in unbounded domains in the case of solutions growing at infinity". Russ. J. Numer. Anal. Math. Model 24:591-617. DOI:10.1515/RJNAMM.2009.036

M. Vynnycky, G. Shugai, P. Yakubenko and N. Mellgren (2009). "ASYMPTOTIC REDUCTION FOR NUMERICAL MODELING OF POLYMER ELECTROLYTE FUEL CELLS". SIAM J. Appl. Math. 70:455-487. DOI:10.1137/080722370

E. S. Benilov, M. S. Benilov and S. B. G. O'Brien (2009). "Existence and stability of regularized shock solutions, with applications to rimming flows". J. Eng. Math. 63:197-212. DOI:10.1007/s10665-008-9227-1

Andrei Korobeinikov and William T. Lee (2009). "GLOBAL ASYMPTOTIC PROPERTIES FOR A LESLIE-GOWER FOOD CHAIN MODEL". Math. Biosci. Eng. 6:585-590. DOI:10.3934/mbe.2009.6.585

Joanna F. Mason, Petri T. Piiroinen, R. Eddie Wilson and Martin E. Homer (2009). "BASINS OF ATTRACTION IN NONSMOOTH MODELS OF GEAR RATTLE". Int. J. Bifurcation Chaos 19:203-224.

Andrei Korobeinikov, John Norbury and Graeme C. Wake (2009). "Long-term coexistence for a competitive system of spatially varying gradient reaction-diffusion equations". Nonlinear Anal.-Real World Appl. 10:93-103. DOI:10.1016/j.nonrwa.2007.08.016

M. Vynnycky (2009). "An asymptotic model for the formation and evolution of air gaps in vertical continuous casting". Proc. R. Soc. A-Math. Phys. Eng. Sci. 465:1617-1644. DOI:10.1098/rspa.2008.0467

James P. Gleeson (2009). "Bond percolation on a class of clustered random networks". Phys. Rev. E 80:036107. DOI:10.1103/PhysRevE.80.036107

R. K. Dunne, E. O'Riordan and G. I. Shishkin (2009). "Fitted mesh numerical methods for singularly perturbed elliptic problems with mixed derivatives". IMA J. Numer. Anal. 29:712-730. DOI:10.1093/imanum/drn024

I. J. Hewitt and A. C. Fowler (2009). "Melt channelization in ascending mantle". J. Geophys. Res.-Solid Earth 114:B06210. DOI:10.1029/2008JB006185

L. Shishkina and G. Shishkin (2009). "Conservative Numerical Method for a System of Semilinear Singularly Perturbed Parabolic Reaction-Diffusion Equations". Math. Model. Anal. 14:211-228. DOI:10.3846/1392-6292.2009.14.211-228

Andrei Korobeinikov (2009). "Financial crisis: An attempt of mathematical modelling". Appl. Math. Lett. 22:1882-1886. DOI:10.1016/j.aml.2009.07.018

M. Vynnycky and N. Ipek (2009). "Supporting electrolyte asymptotics and the electrochemical pickling of steel". Proc. R. Soc. A-Math. Phys. Eng. Sci. 465:3771-3797. DOI:10.1098/rspa.2009.0291

J. I. Diaz, A. C. Fowler, A. I. Munoz and E. Schiavi (2008). "Mathematical Analysis of a Model of River Channel Formation". Pure Appl. Geophys. 165:1663-1682. DOI:10.1007/s00024-004-0394-3

T. G. Myers, S. L. Mitchell and G. Muchatibaya (2008). "Unsteady contact melting of a rectangular cross-section material on a flat plate". Phys. Fluids 20:103101. DOI:10.1063/1.2990751

S. L. Mitchell and T. G. Myers (2008). "Approximate solution methods for one-dimensional solidification from an incoming fluid". Appl. Math. Comput. 202:311-326. DOI:10.1016/j.amc.2008.02.031

E. Benilov, M. S. Benilov, N. Kopteva     Steady rimming flows with surface tension    Journal of Fluid Mechanics, Vol. 597, pp. 91--118

E. Benilov, J. D. Flanagan     The effect of ageostrophy on the stability of vortices in a two-layer ocean    Ocean Modelling

E. Benilov, A. B. Hassam     Weakening of magnetohydrodynamic interchange instabilities by Alfven waves    Physics of Plasmas, Vol. 15

E. Benilov, V. S. Zubkov     On the drag-out problem in liquid film theory    Journal of Fluid Mechanics, Vol. 617, pp. 283--299

J. Charpin, P. Verdin     Muti-stepping and anti-icing/de-icing devices    Accepted

J. Charpin, N. Fowkes, M. Khalique, D. Mason, T. Myers, A. Sjöberg, DC Vakaslan     Wrinkling of paper labels on beer bottles    MISGSA2008

J. Charpin, T.G. Myers     Modelling the temperature, maturity and moisture content in a drying concrete block    Mathematics-in-Industry Case Studies, Vol. 1

J. Charpin, V. Cregan, J.P. Gleeson, M. Hayes, W. Lee, S. B.G. O'Brien, M. Vynnycky     Spin-coating on nanoscale topography and phase separation of diblock copolymers    ESGI62

V. Cregan, S.B.G. O'Brien     Asymptotics of spin-coating with small evaporation    N

A. Fowler, J. I. Diaz, A. I. Munoz, E. Schiavi     Mathematical analysis of a model of river channel formation    Pure and Applied Geophysics(165), pp. 1663--1682

A. Fowler, I. J. Hewitt     Seasonal waves on glaciers.Hydrological processes     Hydrological processes

A. Fowler, T. Roose     Network development in biological gels: role in lymphatic vessel development    Bulletin of Mathematical Biology, Vol. doi: 10.1007/s11538-008-9324-3

A. Fowler, I. J. Hewitt     Partial melting in an upwelling mantle column    Proceedings of the Royal Society of London A464, Vol. doi: 10.1098/rspa.2008.0045, pp. 2467--2491

A. Fowler    Dynamics of subglacial floods    Proceedings Royal Society

A. Fowler, O. Clary, T. Roose     A model of foliage-carbon dynamics in trees    Proceedings of the Royal Society of London B

A. Fowler, O. Clary, T. Roose     Periodic outbreaks of Epirrita Autumnata in Northern Finland    Proceedings of the Royal Society of London B

A. Fowler, R. J. Zammett     The morphology of the Martian ice caps: a mathematical model of ice-dust kinetics.    SIAM Journal of Applied Mathematics, Vol. submitted

A. Fowler, I.J. Hewitt     Melt channelization in ascending mantle.    J. Geophys. Res., , Vol. In Press

R. Gaburro, W.R.B. Lionheart     Recovering Riemannian metrics in monotone families from boundary data    Inverse Problems (under revision)

R. Gaburro, C. Nolan     Enhanced imaging from multiply scattered waves    Inverse Problems and Imaging, Vol. 2(2), pp. 225--250

J. Gleeson    Mean size of avalanches on directed random networks with arbitrary degree distributions    PHYSICAL REVIEW E, Vol. 77

J. Gleeson    Cascades on correlated and modular random networks    PHYSICAL REVIEW E, Vol. 77

J. Gleeson, J.A.D. Appleby, A. Rodkina     Asymptotic constancy and stability in nonautonomous stochastic differential equations    CUBO, Vol. 10, pp. 145--15

B. Karl, L. Söderholm     Orbital effects of the Magnus force on a Spinning Spherical Satellite in a Rarefied Atmosphere    European Journal of Mechanics B/Fluids , Vol. 27, pp. 623--631

N. Kopteva    Maximum norm a posteriori error estimate for a 2d singularly perturbed reaction-diffusion problem    SIAM Journal of Numerical Analysis, Vol. 46, pp. 1602--1618

N. Kopteva, V.B. Andreev     Pointwise approximation of corner singularities for a singularly perturbed reaction-diffusion equation in an L-shaped domain    Mathematics of Computation, Vol. 77

N. Kopteva    Pointwise error estimates for 2d singularly perturbed semilinear reaction-diffusion problems    Finite Difference Methods: Theory and Applications, Proceedings of the 4th International Conference, Lozenetz, Bulgaria, August 2006., pp. 105--114

A. Korobeinikov, S. Iwami, Y. Takeuchi, X. Liu     Prevention of avian influenza epidemic: What policy should we choose?    Journal of Theoretical Biology, Vol. 252(4), pp. 732--741    

A. Korobeinikov, P.K. Maini, W.J. Walker     Non-linear transmission, mortality and stability of discrete-time infectious disease models    Mathematical Biology Research Trends, Nova Science Publishers, New York

A. Korobeinikov, S.V. Petrovskii     Toward a general theory of ecosystem stability: plankton-nutrient interaction as a paradigm    Aspects of Mathematical Modelling, Birkhaeuser

A. Korobeinikov, S.M. O'Regan, T.C. Kelly, M.J.A. O'Callaghan, and A.V. Pokrovskii     Qualitative and numerical investigations of the impact of a novel pathogen on a seabird colony.    Journal of Physics: Conference Series, Vol. 138

W. Lee, Katja Mueller     Redesigning the UK Broadband Network by Monte Carlo Simulation     Telektronikk. (Special Issue: Proceedings of ISF2008), Vol. 104(3,4), pp. 37--47

M.J. McGuinness, W.B. Fraser, C. Macaskill, A. Thornton     Strip track-off and buckling between transport rollers    the proceedings of the Mathematics-in-Industry Study Group 2007, Institute of Mathematics and Statistics, University of Wollongong, Australia, published January 2008, pp. 13--31

M. Ni Riordain, John O' Donoghue     Challenges faced by Gaeilgeoirí in the transition to English medium second level maths education    Proceedings of the International Congress on Mathematics Education 11 (Topic Group 31)

M. Ni Riordain, John O' Donoghue     An investigation into bilingual adult mathematics learners within an Irish context    Proceedings of the International Congress on Mathematics Education 11 (Topic Group 8)

M. Robinson, A.J. Alexander, A.C. Fowler, S.B.G. O'Brien     Waves in Guinness    Physics of Fluids, Vol. 20(6)

M. Vynnycky, Fritz Bark     A note on electrolysis with forced convection at large Peclet number in a channel and an excess of suporting electrolyte     Russian Journal of Electrochemistry, Vol. 44, pp. 470--478

M. Vynnycky, Nulifer Ipek, Ann Cornell     A coupled electrochemical and hydrodynamical two-phase model for the electrolytic pickling of steel.    Journal of the Electrochemical Society, Vol. 155, pp. 33--43

M. Vynnycky, Niklas Mellgren, Shelley Brown, Goran Lindbergh     Impedance as a tool for investigating ageing in lithium-ion porous electrodes. Part 1: physically based electrochemical model.    Journal of the Electrochemical Society, Vol. 155, pp. A304--A319

M. Vynnycky, Niklas Mellgren, Shelley Brown, Goran Lindbergh     Impedance as a tool for investigating ageing in lithium-ion porous electrodes. Part 2: positive electrode for examination.    Journal of the Electrochemical Society, Vol. 155, pp. A320--A338

M. Vynnycky, Nulifer Ipek     Asymptotic analysis of a model for the electrochemical picking of steel     SIAM Journal on Applied Maths, Vol. Submitted under review

E. Benilov, O. A. Power     A drift model of interchange instability    Physics of Plasmas, Vol. 14

J. Charpin    Effect of thermal gradients on the random diffusion of a light solute, C, in a heavier solvent, Fe or Co    MISGSA2007

V. Cregan, K. Cronin, D. Mackey, S. O'Brien, J. Gleeson, K. Abodayah     Selection of processing temperature to minimize product temperature variability in food heating processes    Transactions of the Institute for Chemical Engineering, Part C, Food and Bioproducts Processing, Vol. 85(C4), pp. 1--10

V. Cregan, S.B.G. O'Brien     A note on spin coating with small evaporation    Journal of Colloid Interface Science, Vol. 314, pp. 324--328

V. Cregan, L. Ferracina, A. Hlod, S. van Mourik, K. Sjauw, V. Rottschafer, M. Vellekoop, P. Zegeling     Modelling of a Heart Pump    Proceedings of the 58th European Study Group with Industry, Utrecht, 2007

A. Fowler, N. Kopteva, C. Oakley     The formation of river channels    SIAM Journal of Applied Mathematics, Vol. 67, pp. 1016--1040

A. Fowler, G.W. Evatt     Cauldron subsidence and subglacial floods    Annals of Glaciology, Vol. 45, pp. 163--168

A. Fowler, R.J. Zammett     Katabatic winds on ice sheets: a refinement of the Prandtl model    Journal of Atmospheric Science, Vol. 64(2), pp. 707--716

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M. Ni Riordain, John O' Donoghue     Mathematics performance and language proficiency: The case of Gaeilgeoirí in Ireland    Proceedings of British Educational Research Association Conference (BERA) 2007

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