The University of Strathclyde is a charitable body, registered in Scotland, number SC015263

DEPARTMENT OF MATHEMATICS AND STATISTICS

ANNUAL REPORT 2015

“Path graph representation of the first 1,000 digits of the mathematical constant e” by Eusebio Vargas

Each node label is one of the first thousand digits of the mathematical constant “e" (2.71828...), so node 1 corresponds to digit 2, node 2 would be digit 7, node 3 would be 1, and so on... . If you follow the path from node 1 to node 1000 you will have the first thousand digits of this irrational number. The path graph has a random layout.

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CONTENTS

INTRODUCTION FROM THE HEAD OF DEPARTMENT 3

PRIZES, AWARDS AND OTHER DISTINCTIONS 4

STAFF AND POSTGRADUATE STUDENTS 6 VISITORS TO THE DEPARTMENT 9

GRANTS AND CONTRACTS AWARDED 10

ACADEMIC VISITS AND EXTERNAL PRESENTATIONS 13

SERVICES TO THE COMMUNITY 19

PUBLICATIONS 23

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INTRODUCTION FROM THE HEAD OF DEPARTMENT

The Department had another successful year in 2015 with some very positive and encouraging developments. There were the largest ever number of undergraduate students taught, continued increases in the level of high quality research, new initiatives in knowledge exchange and another increase in the number of MSc students, and the Department is therefore a major contributor to the University’s aims and objectives. Of course this has only been possible through the activities of our staff, who have invested their time, energy and commitment. They have placed the Department in an extremely positive position (both academically and financially) and with the Faculty and University’s investment in new staff we can look forward to further positive developments that will follow in 2016. The University and Faculty have invested in the Department through a number of strategic appointments. We have welcomed the arrival of two new Chancellor’s Fellows – Dr Kim Kavanagh, previously a postdoctoral researcher in the Department, was appointed as a Chancellor’s Fellow and Lecturer in January 2015 and Dr Neil Banas arrived from the University of Washington in July 2015 as a Chancellor’s Fellow and Senior Lecturer. Two new lecturers, appointed in 2014, also arrived in the Department in 2015 – Dr Jen Pestana from the University of Manchester and Dr Alastair Rushworth from the University of Glasgow. We were also delighted that Dr Peter Davidson and Dr Elizabeth Dombi were moved from fixed-term to open-ended positions as Teaching Associates in 2015, recognising the Department’s continual need for the high-quality teaching provision that they provide. In a new development for the Department, Dr Stephen Corson was appointed to an open-ended position as a Knowledge Exchange Associate in the summer of 2015 and he became the Department’s first Director of Knowledge Exchange, playing the key role in the success of the new Statistical and Mathematical Advice, Research and Training unit (SMART). All of these appointments have significantly strengthened the Department’s overall staffing profile and will allow growth across the spectrum of its activities. We have also seen a number of staff departures during 2015: Dr Thomas Cottrell, who completed his fixed-term position as a Teaching Assistant in June 2015 and has gone on to a position at Bath University as a Teaching Fellow; Ms Catherine McNab left her position as a Modern Apprentice to pursue an alternative career in December 2015; and Dr Wei Yang, left her role as Lecturer in December also to pursue an alternative career. We would like to thank Thomas, Catherine and Wei for their hard work during their time here. All three positions will be replaced during 2016. The report that follows highlights the large number of excellent achievements by the academic staff during 2015. With an ever-changing higher education sector and possible changes in funding levels, the Department still faces numerous challenges in 2016 but I am confident that we can tackle the challenges ahead and emerge as a more efficient, stronger and even more successful department.

Professor Iain W Stewart

Head of Department

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PRIZES, AWARDS AND OTHER DISTINCTIONS

An article entitled “Termite mounds can increase the robustness of dryland ecosystems to climatic change”, was featured on the cover of Science, and received considerable media attention (The New York Times, Le Monde, and other printed and online publications). The report by Dr Juan Bonachela was a collaboration involving co-authors, Assistant Professors Corina Tarnita and Robert Pringle, Associate Professor Kelly Caylor, Professor Simon Levin, postdoctoral researcher Efrat Sheffer, and doctoral students Tyler Coverdale and Jennifer Guyton, all from Princeton University.

From University of Strathclyde News http://www.strath.ac.uk/whystrathclyde/termitescanhelpecosystemssurvive/ Termites can help ecosystems survive Innovative research has shown that mounds created by termites are critical to prevent the spread of deserts into semi-arid ecosystems and agricultural lands. A report in the journal Science involving researchers from Princeton University and the University of Strathclyde suggests that termite mounds could make these areas more robust against climate change than previously thought.

According to the study, the presence of termite mounds is beneficial for the ecosystem, providing a refuge for vegetation on and around the mound that helps the ecosystem survive with a level of water that would normally result in desertification. Termite activity increases soil moisture and nutrient accumulation, factors that allow vegetation on the mound and its surroundings to survive under much more severe conditions than without the mounds. Dr Juan Bonachela, a lecturer in the Department of Mathematics and Statistics at the University of Strathclyde, and first author of the report, said: “We found that, due to the presence of termite mounds, the levels of rainfall for which the ecosystem should collapse into a desert change significantly.” “The enhancement for vegetation growth conditions on and around the mound due to termites allows the rest of the ecosystem to resist much more challenging conditions, and contribute to an earlier regeneration of the ecosystem when conditions are improving.” “We developed a mathematical model that allowed us to explore the change in these desertification thresholds with a level of detail that would be practically impossible to achieve in the field.” Dr Bonachela added: “This is a highly collaborative piece of work, in which we used a really multidisciplinary approach to unveil the positive role of termites." “Biology provided the information to modify a mathematical model in order to include the role of termites, field data and image analysis facilitated a comparison of the model with our own observations, and concepts and techniques from physics allowed us to quantify the improvement on the resilience of the ecosystem due to the mounds.”

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Eusebio Vargas Estrada was awarded first prize in the Poster Competition held at the 2015 Annual University of Strathclyde SIAM Student Chapter Meeting.

Vanessa Trijoulet was awarded a prize for best student presentation at the International Conference on Natural Resource Modelling in Bordeaux and also for best student short talk at the 29th Annual Conference of the European Cetacean Society, Malta.

Dr Peter Davidson and Dr Juan Bonachela achieved Fellowship of the Higher Education Academy (FHEA).

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STAFF AND POSTGRADUATE STUDENTS 2015

Head of Department: Professor Iain Stewart, MA, PhD, AFIMA, FRSE

Professors: Ernesto Estrada, BSc, MSc, PhD

Mike Heath, BSc, PhD Desmond J Higham, BSc, MSc, PhD, FRSE Xuerong Mao, PhD, FRSE Nigel J Mottram, BA, PhD, FIMA Mikhail A Osipov, PhD, DSc Chris Robertson, BSc, MSc, PhD Iain W Stewart, MA, PhD, AFIMA, FRSE Stephen K Wilson, MA, MSc, DPhil, FIMA

Readers: Victorita Dolean Maini, PhD David Greenhalgh, BA, MA, CASM, PhD Michael Grinfeld, BSc, MA, PhD Anthony J Mulholland, BSc, MSc, PhD, CMath, FIMA Alison Ramage, BSc, PhD, FIMA

Senior Lecturers: Neil Banas, BA, MA, MSc, PhD (from June 2015) Gabriel Barrenechea, Dr Sci Penny J Davies, BA, MSc, PhD Louise Kelly, BSc, PhD, FHEA Wilson Lamb, BSc, PhD, CMath, MIMA Geoff McKay, BSc, PhD John A Mackenzie, BSc, DPhil Andre M Sonnet, Dipl-Phys, Dipl-Math, Dr rer nat, FHEA Douglas Speirs, BSc, PhD, FHEA David Young, BSc, MPhil, PhD, CStat, CSci, FHEA, PGCE

Lecturers: Teaching & Knowledge Exchange Associate

Juan Bonachela, BSc, MSc, PhD, FHEA Alison J Gray, BSc, PhD Kim Kavanagh, BSc, PhD (from January 2015) Philip Knight, BSc, MSc, PhD Matthias Langer, Priv-Doz, Dipl-ing, Dr techn, FHEA Jiazhu Pan, BSc, MS, PhD Jennifer Pestana, BMath, DPhil (from October 2015) David T Pritchard, MA, PhD, FHEA Alastair Rushworth, BSc, MSc, PhD (from June 2015) Wei Yang, PhD (until December 2015) Stephen Corson, BSc, PhD (from August 2015)

Senior Research Fellow: Robin Cook, BSc, DPhil

Research Professors: Sean McKee, BSc, MA, PhD, DSc, CMath, FIMA, FFCS, FRSE

Research Staff: Angus Cameron, BSc, PhD (until August 2015) Lindsey Corson, BSc, MSc, PhD, MIMA (until June 2015) Sean McGinty, BSc, PhD (until October 2015) David Morris, PhD Jiafeng Pan, PhD Ben Snow, BSc (from October 2015) Katy Tant, BSc, PhD

Computer Officers: Ian Thurlbeck, BSc, MPhil Ronnie Wallace, BSc, MSc, PhD

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Administrative & Secretarial Staff: Ann Lynch Mary McAuley Catherine McNab (until December 2015) Sandra Miller, BA, PGDip, MSc, MCIPD Irene Spencer

Teaching Associates: Thomas Cottrell (until June 2015) Peter J Davidson, BSc, PhD Elizabeth Dombi, PhD

Undergraduate Teaching Assistants: Lauren Hyndman Lyndsay Kerr John Stewart

Postgraduate Students: Wafa Alfwzan (until June 2015) Abdulmajeed Albarrak Najlaa Alalwan Ebrahem Algehyne Majid Alharbi Fatemah Al Mukahal Areej Almuneef Muqrin Almuqrin Zuhur Alqahtani Ahmad Alsayed Abdulwahed Alshaikhi Omar Alsuhaimi Andisheh Bakhshi Michal Bosy Kirsty Brown Craig Brownlie Romain Brunet Chengjie Cai Siyang Cai Yongmei Cai Raymond Carragher Melinda Choua Justin Conn James Cowley Andrew Croudace Laura Cunningham (until May 2015) Ran Dong Keshav Dutia Ian Gardiner (until December 2015) Craig Gilmour Cheherazada Gonzalez Ehsan Mejeed Hameed Aidan Hunter Arshad Hussain Taghreed Jawa Tadas Krikstanavicius Yile Li Yanfeng Liang Johnathan Love Jianqiu Lu Barry Lynch Alan MacDonald Craig MacDonald Grant MacDonald

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John McGowan Jackie McLean Ruaraidh McPike Sandra Maier Michael Nolan Martin Paton Joe Pettigrew Chanpen Phokaew Marion Procter Kate Pyper Grant Ross Alessandro Sabatino Matthew Sheerin Grant Silver Trevor Sloughter Hazel Smith Ben Snow (until September 2015) Jutta Stauber (until November 2015) Vanessa Trijoulet Eusebio Vargas Andreas Wachtel Joshua Walton Hongrui Wang Jonathan Wells Robert Wilson Chang Xu Heather Yorston

Visiting Professors: Professor Jacek Banasiak (University of KwaZulu-Natal, South Africa) Professor Sheila Bird (MRC Biostatistics Unit, Cambridge) Professor Hermann Brunner (Memorial University, Newfoundland, Canada) Professor J A (Poti) Cuminato (University of São Paulo, Brazil) Professor Iain S Duff (Rutherford Appleton Laboratory) Professor Eugene (Chuck) Gartland, Jr. (Kent State University, USA) Professor Peter Grindrod (University of Oxford) Professor Rainer Picard (Technische Universität, Dresden, Germany) Professor Jay Walton (Texas A&M University, Texas, USA)

Honorary and Emeritus Staff: Professor Christian Constanda Dr Brian Duffy Professor Bill Gurney Dr Robert J Henery Professor Adam McBride Dr Des F McGhee Professor Eddie McKenzie Professor A Ian Murdoch Professor Donald Pack Dr E John Parkes Mr Magnus M Peterson Professor Eric Renshaw Professor David Sloan Professor David Wallace

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VISITORS TO THE DEPARTMENT

Dr Alejandro Allendes UTFSM, Valparaiso, Chile Dr Hiroyasu Ando Tsukuba University, Japan

Professor Tim Atherton Tufts University, USA Professor Jacek Banasiak University of KwaZulu-Natal, South Africa and Lodz University of Technology, Poland Professor B Malcolm Brown Cardiff University

Dr Wugan Cai Fuzhou University, China Dr Derek Craig EPSRC Professor Carl Dettmann University of Bristol Dr Hannah Fry University College London Dr Ben Goddard University of Edinburgh Professor Ian Griffiths University of Oxford Dr Oliver Henrich Edinburgh Parallel Computing Centre Professor Paul Houston University of Nottingham Professor Volker John WIAS, Berlin, Germany Professor Petr Knobloch Charles University, Prague, Czech Republic Professor Heinz Langer Vienna University of Technology, Austria Professor Philippe Laurençot CNRS and Université de Toulouse, France Dr Linna Li Wuhan University of Science and Technology, China Dr Yuyuan Li Donghua University, China Dr Alan Lowden TIC Programme Director Professor Lakshminarayanan Mahadevan Harvard University, USA Dr Sergio Maldondo-Villanueva University of Edinburgh Professor Paul Martin Colorado School of Mines, USA Dr Diego Paredes UCV, Valparaiso, Chile Dr Abner Poza UCSC, Concepcion, Chile Dr Mariya Ptashnyk University of Dundee Professor Khelil Sefiane University of Edinburgh Dr Huan Su Harbin University, China Dr Alice Thompson Imperial College, London Professor Murilo Tomé ICMC, Brazil Professor Carsten Trunk Ilmenau University of Technology, Germany Dr Luigi Vergori University of Glasgow Dr Alan Walker University of the West of Scotland Dr Steven Webb University of Liverpool Dr Christopher White EPSRC

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GRANTS AND CONTRACTS

Dr N Banas £70,000 from Long Live the Kings (US non-profit) for “Linking Puget Sound plankton ecology to climate with a new, mid-complexity circulation model”

Dr G Barrenechea £3,000 from Glasgow Mathematical Journal Trust to organise the 3rd Scottish PDE Colloquium £1,000 from Glasgow City Marketing Bureau to organise the 3rd Scottish PDE Colloquium £1,200 from Edinburgh Mathematical Society to organise the 3rd Scottish PDE Colloquium Dr J Bonachela £17,000 from the MASTS Visiting Fellowship Scheme

to fund a visitor to work on an interdisciplinary project on phytoplankton physiological responses, in collaboration with the University of Glasgow

Professor E Estrada £42,600 from the Newton Fund and the British Council for “Multiplex Cities. A holistic view of data analytics for cities” £10,000 from the Institute of Future Cities (Bridging the Gap Grant) to initiate research on data analytics of future cities Dr A Gray £1,600 from Interns@Strathclyde

to support the student intern project “Investigating population models for honey bee colony behaviour and health”

Dr D Greenhalgh £54,000 from University of Strathclyde to support a research student on mathematical models of dengue vaccination £1,600 from Research Interns @ Strathclyde to support a student intern project £1,400 from Sultan Qaboos University, Oman for joint research and exchanges as named consultant £50,000 from the Leverhulme Trust

for a two-year Leverhulme Research Fellowship on the mathematical modelling of vaccination against dengue

£5,000 from James Clerk Maxwell AIMS Fund

for supervision of project students at the African Institute for Mathematical Sciences (AIMS) Cameroon

Professor D Higham £643,307 EPSRC Established Career Fellowship Dr P Knight £7,000 from James Clerk Maxwell AIMS Fund to support visit to AIMS Ghana to teach and supervise projects Dr W Lamb £7,000 from James Clerk Maxwell AIMS Fund to support visit to AIMS South Africa to teach and supervise projects Dr J Mackenzie £500,000 from Cancer Research UK (with R. Insall, Beatson Institute)

to support research on “Understanding Cancer Metastasis by Combining Models, Numbers and Molecules”

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£1,600 from Carnegie UG Scholarship and Interns@Strathclyde to support a student intern project Professor X Mao £48,760 from the Leverhulme Trust for “Numerical Analysis of Stochastic Differential Equations: New Challenges” £78,000 from the Chinese Scholarship Council for two PhD Studentships (stipend only) Professor S McKee €10,000 from EU COST MI-NET to support Mathematical Modelling Training Week with Industry £10,000 from EPSRC Impact Accelerator Account (with Kirkstall Ltd) for “Simulating complex flow and absorption in quasi-vivo cell culture systems” £8,600 from The Royal Society for “Modelling drug release from polymer-free drug-eluting stents” £3,000 from the Glasgow Mathematical Trust

to support the networking activities of the Centre for Mathematics Applied to the Life Sciences (CMALS)

£10,000 from the EPSRC Impact Accelerator Account for “Optimal Design of Vascular Stents” Professor N Mottram £80,000 EPSRC/GSK Industrial Case PhD award £4,000 Medical Devices Doctoral Training Centre to support PhD student Dr A Mulholland £40,256 EPSRC Centre for Innovative Manufacturing in Advanced Metrology Feasibility Study

Grant, “Improved Photogrammetry Reconstructions for Manufacturing Metrology” £85,025 from BP (Departmental share £25,500) for “Flow Tomography using Ultrasound Arrays” Dr J Pan £3,000 EPSRC Institutional Sponsorship Grant to fund a workshop on Big Data £39,000 from the Chinese Scholarship Council to fund a PhD Studentship (stipend only) Dr D Pritchard £9,500 from Bridging the Gap (with Dr Lindsey Corson) to fund research on mechanistic modelling of smouldering remediation £7,090 from the Carnegie Trust to fund research on mechanistic modelling of smouldering remediation Dr A Ramage $80,000 from Strathclyde/National Physical Laboratory

Emerging Theme PhD studentship “Data Science Tools for Uncertainty Quantification” (with Professors Des Higham and Alistair Forbes, NPL)

Professor C Robertson £180,000 from Astellas to fund research on clinical outcomes and healthcare costs of Clostridium Difficile Infection £4,200 from Chief Scientist Office to fund the Scottish Healthcare Associated Infection Prevention Institute (SHAIPI) £95,000 from Horizon 2020 to fund research on influenza and pneumococcal vaccine effects

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Ms V Trijoulet $500 Travel Grant from the American Mathematical Society to support travel to Seattle to present at the Joint Mathematics Meeting Dr D Young £1,380 from Royal Society Partnership Grant (with Mr John Reilly) for “Applying Statistics Across the Curriculum” £15,969 from Yorkhill Research Support Scheme (with Professor Helen Minnis) to support project on children’s social behaviour in a clinic waiting room

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ACADEMIC VISITS AND EXTERNAL PRESENTATIONS Dr N Banas Scottish Association of Marine Science, June University of St Andrews, November Dr G Barrenechea Universidad Técnica Federico Santa María, Valparaíso, Chile, April/May Charles University, Prague, Czech Republic, June Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany, August/September Dr J Bonachela Centre for Ecological and Evolutionary Synthesis, University of Oslo, Norway, May and

September University of Granada, Spain, June Dr A Gray Netherland Centre for Bee Research, Tersoal, The Netherlands, August Dr D Greenhalgh Centro de Investigacion de Matematics, Guanajuato, Mexico, March The African Institute for Mathematical Sciences, Limbe, Cameroon, May University of Sao Paulo, Brazil, August University of Bocucatu, Brazil, August University of Campinas, Brazil, August Dr V Dolean University of Geneva, Switzerland, January University Pierre et Marie Curie, Paris, France, February, April and June/July Dr P Knight AIMS Ghana, May and December ENSEEIHT, Toulouse, France, July Pacific University, Oregon, November CERFACS, Toulouse, France, November Dr W Lamb African Institute for Mathematical Sciences, South Africa, January/February, April Professor N Mottram Princess Nora University, Saudi Arabia, May Dr A Mulholland Technical University of Dresden, Germany, February University of Cagliari, Italy, April Dr J Pan Yunnan University, Kunming, China, July Dr J Pestana University of Kent, November Dr A Ramage Uppsala University, February Professor C Robertson IPRI, Lyon, France, July and December Frontier Science Scotland, Kincraig, October Dr A Sonnet University of Bristol, May

Professor S Wilson Edinburgh University, March and June Princeton University, USA, November Oxford University, December

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Conference Presentations

Mrs F Al Mukahal 4th Joint British Mathematical Colloquium (BMC) and British Applied Mathematics Colloquium (BAMC), Cambridge, March/April

Rheologists in Scotland Meeting II, Strathclyde, May 28th Scottish Fluid Mechanics Meeting, Glasgow, May 11th European Coating Symposium, Eindhoven,The Netherlands, September

British Society of Rheology Winter Meeting (BSR): Microrheology and Microfluidics, Glasgow, December

Dr N Banas MEOPAR/MEAP-TT Workshop on Operational Ocean Modeling, Halifax, Canada, July MASTS Annual Science Meeting, Heriot-Watt University, September Dr G Barrenechea Workshop on Numerical Methods for Applied Mechanics Problems: A meeting in honour of

Patrick Le Tallec, École Polytechnique de Paris, France, March 18th International Conference in Finite Element for Flow Problems, Taipei, Taiwan, March

1st Pan American Conference in Computational Mechanics, Buenos Aires, Argentina, April 13th European Finite Element Fair, Charles University, Prague, Czech Republic, May 26th Biennial Conference in Numerical Analysis, University of Strathclyde, Glasgow, June

8th Conference in Industrial and Applied Mathematics (ICIAM), Beijing, China, August ENUMATH, Ankara, Turkey, September

Dr J Bonachela Aquatic Sciences Meeting, Granada, Spain, February CEES, University of Oslo, Norway, April 13th Granada Seminar, Granada, Spain, June Mr R Carragher The Society for Clinical Trials, 36th Annual Meeting, Arlington, Virginia, USA, May Dr R Cook 29th Annual Conference of the European Cetacean Society, Malta, March International Conference on Natural Resource Modelling, France, June/July MASTS Annual Science Meeting, Heriot-Watt University, September Dr L Corson 4th Joint British Mathematical Colloquium (BMC) and British Applied Mathematics Colloquium

(BAMC), Cambridge, March/April Rheologists in Scotland Meeting II, Strathclyde, May 28th Scottish Fluid Mechanics Meeting, Glasgow, May Dr V Dolean 1st Pan-American Congress in Computational Mechanics, Buenos Aires, Argentina, April 22nd International Conference on Domain Decomposition Methods, South Korea, July AARMS Workshop on Domain Decomposition Methods for PDEs, Canada, August

(Plenary speaker and software demo) Professor E Estrada NetSci-X 2015, Rio de Janeiro, Brazil, January (Plenary speaker) International School on Complex Networks, NetSci 2015, Zaragoza, Spain, June NetSci 2015 Satellite Conference on Multilayer Networks, Zaragoza, Spain, June (Plenary speaker)

NetSci 2015 Satellite Conference on Networks in Education, Zaragoza, Spain, June (Plenary speaker)

GAMM Workshop on Applied Numerical Linear Algebra, Germany, July (Plenary speaker) ICTP-SAIFR School on Complex Networks and Applications to Neurosciences, Brazil, September/October SIAM Conference on Applied Linear Algebra (LA15), USA, October (Plenary speaker) Dr A J Gray COLOSS Monitoring Workshop, Copenhagen, January 26th Biennial Numerical Analysis Conference, University of Strathclyde, June Dr D Greenhalgh 7th International Conference on Machine Learning and Computing, Florence, Italy, March (Keynote speaker)

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Professor D Higham Dynamic Networks and Cybersecurity, Heilbronn Institute, Bristol, June New Directions in Computation, Oxford, July European Conference on Numerical Mathematics (ENUMATH), Turkey, September Mrs T Jawa 38th Research Students’ Conference in Probability and Statistics, Leeds, August Dr P Knight 26th Biennial Numerical Analysis Conference, Strathclyde, June Sparse Days, St Girons, France, June Innovative Clustering Methods Workshop, Toulouse, France, July SIAM Conference on Applied Linear Algebra (LA15), Atlanta, October Dr W Lamb AMS-EMS-SPM International Meeting in Porto, Portugal, June (Speaker and session organiser) Analysis and Differential Equations Meeting, Durban, South Africa, July Dr M Langer Third Scottish PDE Colloquium, Glasgow, June

The fourth Najman conference on spectral problems for operators and matrices, Croatia, September (Plenary speaker)

Analysis Day, Sweden, September Dr J Mackenzie 26th Biennial Numerical Analysis Conference, Strathclyde, June

Workshop on Porous Media Modelling in Biological Processes: Perspectives on Analytical and Computational Methods Enabling Data Inversion, University of Dundee, August (Plenary speaker)

Workshop on Cell Mechanics, Morphogenesis and pattern Formation: perspectives from experimental and theoretical points of view, Isaac Newton Institute, Cambridge, September

Workshop on Multi-physics geometric PDE using deformable surfaces: Analysis, modelling, numerics and applications, University of Sussex, November (Plenary speaker)

Conference on Geometric Partial Differential Equations: Surface and Bulk Processes, Oberwolfach, Germany, December

Professor X Mao 14th Chinese International Conference on Numerical Methods for Differential Equations, China,

July (Keynote speaker) Organiser of the International Workshop on Stochastic Differential Equations and Numerical Methods and Keynote Speaker, China, November

Professor N Mottram 28th Scottish Fluid Mechanics Meeting, Glasgow, May 13th European Conference on Liquid Crystals, Manchester, September

Indo-UK Workshop on “Mathematics, Mechanics and Physics for Tomorrow’s Materials”, ICMS Edinburgh, October

Dr A Mulholland EdF MAI Conference, Fontainebleau, France, November 9th GDR Conference, Aussois, France, December (Plenary speaker) Dr J Pan USA-China Conference on Probability and Statistics, Kunming, China, July Mr J Pettigrew 4th Joint British Mathematical Colloquium (BMC) and British Applied Mathematics Colloquium

(BAMC), Cambridge, March/April Dr D Pritchard HEA workshop on “Transitions in Undergraduate Mathematics Education”, University of

Birmingham, March Scottish Fluid Mechanics Meeting, University of Glasgow, May

BIRS Workshop on Viscoplastic Fluids: From Theory to Application, Banff, Canada, October (Invited participant)

Dr A Ramage 26th Biennial Numerical Analysis Conference, Strathclyde, June New Directions in Numerical Computation, Oxford, August SIAM Conference on Applied Linear Algebra, Atlanta, USA, October Professor C Robertson IMOVE workshop Veyrier du Lac, France, July

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Mr B Snow 28th Scottish Fluid Mechanics Meeting, Glasgow, May International Congress on Industrial and Applied Mathematics, Beijing, China, August Dr A Sonnet 13th European Conference on Liquid Crystals, Manchester, September

Workshop “Mathematics and Mechanics in the 22nd Century: Seven Decades and Counting...”, Eugene, Oregon, October

Professor I W Stewart 3rd Scottish Partial Differential Equations Colloquium, University of Strathclyde, June

Dr K Tant BINDT, 54th Annual Conference, Telford, September GDRE, Wave Propagation in Complex Media for Quantitative and Non Destructive

Evaluation, Aussois, France, December Ms V Trijoulet UK and Ireland Regional Student Chapter Meeting for Society of Marine Mammology, Bangor,

January 29th Annual Conference of the European Cetacean Society, Malta, March XXII Conference of the European Association of Fisheries Economists, Salerno, Italy, April

International Conference on Natural Resource Modelling, Bordeaux, France, June Marine Alliance for Science and Technology for Scotland 5th Annual Science Meeting, Glasgow, September 21st Biennial Conference on Marine Mammals from the Society for Marine Mammology, San Francisco, USA, December

Mr A Wachtel SIAM CSE 2015, Salt Lake City, USA, March

12th Annual Workshop on Numerical Methods for Problems with Layer Phenomena, Dresden, Germany, April

26th Biennial Numerical Analysis Conference, Strathclyde, June Professor S K Wilson Rheology of Structured Fluids, Ruthin Castle, Wales, March 28th Scottish Fluid Mechanics Meeting, Glasgow, May Fluids and Elasticity 2015, Biarritz, France, June Bifurcations and Instabilities in Fluid Dynamics 2015, Paris, France, July 14th UK National Heat Transfer Conference, Edinburgh, September 11th European Coating Symposium 2015, Eindhoven, The Netherlands, September Droplets 2015, Twente, The Netherlands, October (Plenary speaker)

BIRS Workshop on Viscoplastic Fluids: From Theory to Application, Banff, Canada, October (Invited participant)

APS Division of Fluid Dynamics Annual Meeting, Boston, USA, November Dr D Young XXXIII Congress of the ESCRS, Barcelona, September Seminar/Colloquium Presentations Dr G Barrenechea University of Dundee, March Universidad de Concepcion, Chile, April Universidad Catolica de Valparaiso, Chile, April Universidad Técnica Federico Santa María, Valparaiso, Chile, April University of Dresden, Germany, August Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany, September University of East Anglia, November Dr J Bonachela Heriot-Watt University, Edinburgh, March University of Glasgow, May Dr V Dolean University of Dundee, UK, January University of Basel, Switzerland, May

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Professor E Estrada University of Oxford, June University of Bristol, June Polytechnic University of Madrid, Spain, November Dr D Greenhalgh Centro de Investigacion de Mathematics, Guanajuato, Mexico, April University of Sao Paulo, Brazil, August University of Campinas, Brazil, August Dr K Kavanagh Farr Institute, University of Manchester, June SIPBS Research day, University of Strathclyde, August Dr P Knight University of Manchester, October Pacific University, Oregon, USA, November Dr M Langer University of Kent, February University of Durham, February Dr J Mackenzie University of British Columbia, Canada, July Professor N Mottram University of Leeds, May Princess Nora University, Saudi Arabia, May Dr A Mulholland Loughborough University, January Brunel University, February Institute of Physics, London, September Dr D Pritchard University College London, March Dr A Ramage University of Nottingham, December

Dr A Sonnet University of Bristol, May

Ms V Trijoulet University of Glasgow, May Marine Laboratory, Marine Science Scotland, Aberdeen, June Professor S K Wilson University of Leeds, December

Other Presentations Dr P J Davies Postgraduate training session, Perth, October Dr K Kavanagh NSS Scotland, Edinburgh, June Scottish Antimicrobial Prescribing Group, Glasgow, December Professor N Mottram Public Engagement Event, European Conference on Liquid Crystals, Manchester, September Dr A Ramage Invited lecture, Mathematical Association Secondary Education Mathematics Conference,

Stirling, September

External Courses Taught Dr V Dolean Journées numériques de Nice, on Domain decomposition methods, course for PhD students

and researchers, April (Invited speaker)

Dr L Kelly MSc Veterinary Epidemiology, Glasgow University, April Dr P Knight Complex Networks, AIMS Ghana, December

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Dr W Lamb Analytical Techniques in Mathematical Biology, African Institute for Mathematical Sciences,

South Africa, January/February Applying Functional Analytic Techniques to Evolution Equations, CIMPA Research School on Mathematical Modelling and Analysis of Complex Systems, Kenya, July

Professor X Mao Summer School on SDEs, China, August (Keynote lecturer) Professor C Robertson R training course, ISD, Edinburgh, January NERC Bayesian Statistics Course, Ross Priory, February HPS Epidemiology Course, October Dr D Young Qualified Person and Professional Development Training course in Mathematics and Statistics

for NSF Health Sciences Pharma Biotech, York, September

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SERVICES TO THE COMMUNITY

Dr N Banas Member of GlobalHAB Scientific Steering Committee (Scientific Committee of Oceanic

Research (SCOR)/UNESCO Intergovernmental Oceanographic Commisson) Contributor to “State of Knowledge: Climate Change in Puget Sound”, University of Washington Climate Impacts Group

Member of End-User Forum, Arctic ABC program, University of Tromsø Dr G Barrenechea Strathclyde representative of the Edinburgh Mathematical Society Dr R Cook Executive Secretary, European Fisheries and Aquaculture Organisation MASTS Fisheries Forum Committee member

Expert Reviewer, Reef Fish Stock Assessment Modelling Review, Honolulu, Hawaii Expert Reviewer, South East Data and Assessment Review Committee, Highly Migratory Sharks, Panama City, Florida

Expert Reviewer, Kuwait Research Foundation Expert Reviewer, COFASP EU-ERAnet research project proposals, Paris, France Member of the External Scientific Advisory Board, EU MAREFRAME Project Dr L Corson Engagement Leader, Early Career Branch of the Institute of Mathematics and its Applications Committee member, Scottish Branch of the Institute of Mathematics and its Applications Dr P J Davies Chair of the London Mathematical Society (LMS) Nominating Committee (until November) Member of the LMS Research Policy Committee Member of the LMS “Good Practice Scheme” Steering Group Member of the editorial board of the Journal of Integral Equations and Applications Member of the editorial board of Royal Society Open Science Member of EPSRC Peer Review College Member of MIGSAA CDT advisory board Undergraduate External Examiner, University of Reading Professor E Estrada Associate Editor of SIAM Journal of Applied Mathematics

Member of the Editorial Board of Entropy Governmental Expert, MAPRA Network, Animal and Plant Health, European Food Safety Authority Expert for Projects of the European Commission. Evaluation expert for the European project on Multiplex Networks Reviewer of Grant Applications for The Netherlands Organisation for Scientific Research (NWO) for Veni Grants in the Innovational Research Incentives Scheme External examiner of PhD Thesis in Zaragoza, Spain and Technical University of Delft, The Netherlands

Dr A J Gray Chair and presenter of workshop session “Statistical Analysis of Data” at COLOSS CSI Pollen

Workshop, Copenhagen Co-chair of COLOSS Monitoring Workshop, Copenhagen Co-editor of conference proceedings: Proceedings of COLOSS Monitoring Workshop,

Copenhagen Dr D Greenhalgh Member international program committee, 8th International Conference on Health

Informatics, Lisbon, Portugal Member international program committee, International Conference on Physiological Computing Systems, Angers, France Member international advisory committee, International Conference of Mathematical and Computational Biology, Indian Institute of Technology, Kanpur, India Member international advisory committee, 7th International Conference on Machine Learning and Computing, Florence, Italy

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Member program committee Future Computing 2015, The Seventh International Conference on Future Computational Technologies and Applications, Nice, France International adviser, International Conference on Frontiers in Mathematics, Gauhati University, Assam, India Member technical program committee the Fourth International Conference on Global Health Challenges, Nice, France

Member program committee INTELLI 2015, The Fourth International Conference on Intelligent Systems and Applications, St. Julian's, Malta Executive Editor Journal of Biological Systems Associate Editor Contemporary Mathematics and Statistics Associate Editor International Journal of Ecology and Development Member Editorial Board, Communication in Biomathematical Sciences

Guest Editor Proceedings of the 8th International Conference on Machine Learning and Computing, Hong Kong, China

Member Editorial Board International Journal of Science and Technology Member Editorial Board International Journal of Latest Trends in Mathematics Member Editorial Board Archives of Control Sciences Editor International Journal of Mathematics and Statistics Editor International Journal of Statistics and Economics Member Editorial Review Board, Scientific Journals International

Editor International Journal of Qualitative Theory of Differential Equations and Applications Editor Journal of Medical Informatics and Technologies Member of EPSRC Peer Review College Deputy Director, Centre for Mathematics Applied to the Life Sciences, University of Glasgow Professor D Higham Section Editor for Survey and Review section of SIAM Review Member of Editorial Board of the IMA Journal of Numerical Analysis Member of Editorial Board of the Journal of Computational Finance Member of Editorial Board of the Journal of Complex Networks Member of Editorial Board of Applied Mathematics Research Express Member of Turing Gateway to Mathematics Programme Committee Member of EPSRC Peer Review College Member of European Science Foundation peer review pool External Examiner for a PhD at Nottingham Trent External Examiner for MSc in Scientific Computation at University of Nottingham

External Examiner for MSc in Numerical Techniques for Finance at University of Nottingham External Examiner for Maths Part B at University of Oxford Organiser of Workshop: What Makes a Successful City?, Strathclyde Organiser of Workshop: City Analytics, Future Cities Catapult, London Organiser of Workshop: Alan Turing Institute Scoping on City Analytics, Strathclyde Dr K Kavanagh Elected Member of the Council of the Royal Statistical Society Committee Member, Royal Statistical Society Glasgow local group SHINE: Scottish HPV Research Network Dr P Knight Member of the Scottish Mathematical Council (until September) Member of The Burn Management Committee Member of The SIMAX editorial board (from November) Co-organiser of 26th Biennial Conference on Numerical Analysis Dr W Lamb Member of the Editorial Board of Quaestiones Mathematicae Member of the Associate Faculty of the African Institute for Mathematical Sciences Dr M Langer Member of the Editorial Board: Complex Analysis and Operator Theory Dr J Mackenzie Co-organiser of the 26th Biennial Conference on Numerical Analysis

Co-organiser of a workshop on “New Mathematical and Computational Problems Involved in Cell Motility, Morphogenesis and Pattern Formulation”, Isaac Newton Institute, Cambridge

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Professor X Mao Member of The Informatics, Mathematics and Statistics (B4) Sectional Fellowship Committee of the Royal Society of Edinburgh

Member of the EPSRC Peer Review College Member of the Editorial Board of Advances in Difference Equations

Member of the Editorial Board of Differential Equations and Dynamical Systems Member of the Editorial Board of Annals of Differential Equations

Member of the Editorial Board of Dynamics of Continuous, Discrete & Impulsive Systems Series B: Applications

Member of the Editorial Board of Matematika Member of the Editorial Board of Cogent Engineering

Professor N Mottram Chair of the Scottish Branch of the IMA Associate Editor, Journal of Engineering Mathematics Committee member of British Liquid Crystal Society SMSTC Academic Steering Committee Member Editorial committee for Liquid Crystals

Member of EPSRC Peer Review College EPSRC Prioritisation Panel meeting, Swindon, November External Examiner for Undergraduate degrees – Bristol Engineering Mathematics Research Assessor for the Carnegie Trust

Research Assessor for the Scottish Universities Insight Institute

Dr J Pan Reviewer for Annals of Statistics Reviewer for Natural Science Foundation China Reviewer for MATH-AMsud France Reviewer for Mathematical Review (USA) External Examiner for PhD, Swansea University Dr D Pritchard Associate Editor, Journal of Engineering Mathematics Convenor of the Education Committee, Edinburgh Mathematical Society (until October) EMS Representative on the Joint Mathematical Council of the UK Member of the Scottish Mathematical Council (from September)

Section Organiser for the West of Scotland (Secondary Division) of the Scottish Mathematical Challenge

Stream Leader for Applied Mathematics Methods, SMSTC External Examiner for undergraduate classes at the University of Glasgow External Validator for SQA Advanced Higher Mechanics Dr A Ramage Member of EPSRC Peer Review College Chair of EPSRC Mathematics Prioritisation Panel Member of Gene Golub SIAM Summer School Committee Associate Editor, SIAM Review

Member of the Programme Committee for the 2015 SIAM Conference on Applied Linear Algebra Member of NordForsk and the Nordic eScience Globalisation Initiative Prioritisation Panel

Co-organiser, 26th Biennial Conference on Numerical Analysis External examiner for PhD, University of Leeds External examiner for PhD, University of Reading External Examiner for Undergraduate Numerical Analysis, University of Manchester

External Examiner for MSc in Mathematical and Computational Science, University of Manchester

Professor C Robertson Member of Scottish MRC E Health Research Group with Marion Bennie at Strathclyde and researchers in Dundee, Glasgow, Edinburgh, Aberdeen, St Andrews

Statistician for South European Urology Group Member of Hopscotch: Study Team for Pilot study to estimate prevalence of oral HPV Member of SHINE: Scottish HPV Research Network Member of I-Move European Research Network for Influenza Vaccine Effectiveness Member of EuroMomo – European Research Network for Mortality Modelling Member of SHAIPI – Scottish Healthcare Associated Infection Prevention Institute

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Member of Scottish Infection Research Network Management Committee Member of International Breast Cancer Group Ethics Committee Member of International Breast Cancer Group Data Safety Monitoring Committee Member of Department of Health, SPI-Modelling Committee Member of SiPAP Study Data Safety Monitoring Committee, Lanarkshire Health Board Member of ARISTICAT – Data Safety and Monitoring Committee Chairman of FEMUR Study – Data Safety and Monitoring Committee Member of NHS National Services Scotland (NSS) Infection Intelligence Platform (IIP) User

Group External Examiner for PhD, Sussex University Mr B Snow President of Strathclyde SIAM Student Chapter Professor I W Stewart Member of the Sectional Committee on Informatics, Mathematics and Statistics for the Royal

Society of Edinburgh External Examiner for Honours Mathematics degrees in the School of Computing and Mathematics, University of Keele

External PhD Examiner for Heriot-Watt University Professor S K Wilson External Examiner for PhD, Imperial College

Joint Editor-in-Chief with Professor T Witelski (Duke University) of the Journal of Engineering Mathematics

Elected Member of the Council of the Institute of Mathematics and its Applications (IMA) Elected Member of the Council of the European Consortium for Mathematics in Industry (ECMI) Member of the Editorial Advisory Board of the Quarterly Journal of Mechanics and Applied Mathematics

Mrs H Yorston M1, M2, FP1, FP3 Edexcel A level associate marker UKMT Intermediate Mathematical Olympiad marker Dr D Young Developed stand-alone statistics higher unit for the SQA (in collaboration with Mr John Reilly)

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PUBLICATIONS

Books Estrada, E, Knight, P: A First Course in Network Theory. Oxford University Press, 2015. Dolean, V, Jolivet, P, Nataf, F: An introduction to domain decomposition methods: theory and parallel implementation. SIAM Series, 2015.

Articles in Books Mulholland, A J, Algehyne, E: Sensor Mimics Nature to Detect Dangerous Structural Cracks. HDIAC Spotlight, 2015, August 31st. Estrada, E: Introduction to Complex Networks, Structure and Dynamics. In “Evolutionary Equations with Applications to Natural Sciences” edited by Banasiak, J, Mokhtar-Kharroubi, M. Lecture Notes in Mathematics, Springer, 2015. Lamb, W: Applying Functional Analytic Techniques to Evolution Equations. In “Evolutionary Equations with Applications in Natural Sciences” edited by Banasiak, J, Mokhtar-Kharroubi. M, Lecture Notes in Mathematics, Springer, 2015, Vol 2126, p 1-46. McKee, S, McGinty, S: Stents, blood flow and pregnancy: mathematical modelling in the raw. In: Tipping Points: Modelling Social Problems and Health, 2015, p. 95-112, Eds: J Bissel, C C S Caiado, S Curtis, M Goldstein and B Straughan. John Wiley. McKee, S: Modelling a pregnancy testing kit. In Princeton Companion to Applied Mathematics Part VII Application Areas, 2015, p. 864-865, Eds: Nicholas J Higham et al. Pritchard, D: Lectures and transition: from bottles to bonfires? Chapter 5 in Transitions in Undergraduate Mathematics Education (ed. A C Croft, M J Grove, J Kyle and D A Lawson), University of Birmingham, in association with the Higher Education Academy, 2015. Stewart, I W: Continuum Theory of Biaxial Nematic Liquid Crystals. Invited chapter for the book “Biaxial Nematic Liquid Crystals: Theory, Simulation and Experiment”, p 185-203, Edited by Luckhurst, G R and Sluckin, T J, John Wiley & Sons, 2015.

Articles in Refereed Journals Algehyne, E, Mulholland, A J: A Finite Element Approach to Modelling Fractal Ultrasound Transducer. IMA J Appl Maths, 2015, Vol. 80, No. 6, p. 1684-1702. Al Mukahal, F H H, Duffy, B R, Wilson, S K: A rivulet of a power-law fluid with constant contact angle draining down a slowly varying substrate. Phys Fluids, 2015, Vol. 27, 052101. Al Mukahal, F H H, Wilson, S K, Duffy, B R: A rivulet of a power-law fluid with constant width draining down a slowly varying substrate. J Non-Newt Fluid Mech, 2015, Vol. 224, p. 30-39. Alsayed, A, Higham, D J: Betweenness in time dependent networks. Chaos, Solitons & Fractals, 2015, Vol. 72, p. 35-48. Conway-Cranos, L, Kiffney, P, Banas, N S, Plummer, M, Naman, S, MacCready, P, Bucci, J, Ruckelshaus, M: Stable isotopes and oceanographic modeling reveal spatial and trophic connectivity among terrestrial, estuarine and marine environments. Mar Ecol Prog Ser, 2015, Vol. 533, p. 15-28. Moore, S K, Johnstone, J A, Banas, N S, Salathé, E P: Present-day and future climate pathways affecting the harmful algal blooms species Alexandrium catenella in Puget Sound, WA, USA, 2015, Harmful Algae, Vol. 48, p. 1-15.

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Banas, N S, Conway-Cranos, L, Sutherland, D A, MacCready, P, Kiffney, P, Plummer, M: Patterns of river influence and connectivity among subbasins of Puget Sound, with application to bacterial and nutrient loading. Estuaries and Coasts, 2015, Vol. 38, p. 735-753. Ainsworth, M, Barrenechea, G R, Wachtel, A: Stabilization of high aspect ratio mixed finite elements for incompressible flow. SIAM Journal on Numerical Analysis, 2015, Vol. 53, No. 2, p. 1107-1120. Barrenechea, G R, Barrios, T P, Wachtel, A: Stabilised finite element methods for a bending moment formulation of the Reissner-Mindlin plate model. Calcolo, 2015, Vol. 52, No. 3, p. 343-369. Barrenechea, G R, John, V, Knobloch, P: Some analytical results for an algebraic flux correction scheme for a steady convection-diffusion equation in 1D. IMA Journal of Numerical Analysis, 2015, Vol. 35, p. 1729-1756. Bonachela, J A, Pringle, R M, Sheffer, E, Coverdale, T C, Guyton, J A, Caylor, K K, Levin, S A, Tarnita, C E: Termite mounds can increase the robustness of dryland ecosystems to climatic change. Science, 2015, Vol. 345, p. 651. Villa, P, Bonachela, J A, Levin, S A, Muñoz, M A: Eluding catastrophic shifts. PNAS Plus, 2015, Vol. 112, E1828. Mouginot, C, Zimmerman, A E, Bonachela, J A, Fredricks, H, Allison, S D, Van Mooy, B A S, Martiny, A C: Resource allocation by the marine cyanobacterium Synechococcus WH8102 in response to different nutrient supply ratios. Limnology and Oceanography, 2015, Vol. 60, p. 1634-1641. Cook, R M, Holmes, S J, Fryer, R J: Grey seal predation impairs recovery of an over-exploited fish stock. Journal of Applied Ecology, 2015, Vol. 52, p. 969-979. Wen, B, Corson, L T, Chini, G: Structure and stability of high Rayleigh-number steady porous medium convection. Journal of Fluid Mechanics, 2015, Vol. 772, p. 197-224. Heath, M R, Cook, R M: Hind-casting the quantity and composition of discards by mixed demersal fisheries in the North Sea. PLoS One, 2015, Vol. 10, e0117078. Nieto, A, Ralph, G M, Comeros-Raynal, M T, Kemp, J, Garcia Criado, M, Allen, D J, Dulvy, N K, Walls, R H L, Russell, B, Pollard, D, García, S, Craig, M, Collette, B B, Pollom, R, Biscoito, M, Labbish Chao, N, Abella, A, Afonso, P, Álvarez, H, Carpenter, K E, Cook, R M (& 39 others): European Red List of Marine Fishes, Luxembourg: Publications Office of the European Union, 2015, 90 p. Pritchard, D, Corson, L T: Comment on Sochi's variational method for generalised Newtonian flow. Rheologica Acta, 2015, Vol. 54, No. 7, p. 657–659. El Bouajaji, M, Dolean, V, Gander, M J, Lanteri, S, Perrussel, R: Discontinuous Galerkin discretizations of optimized Schwarz methods for solving the time-harmonic Maxwell's equations. Electron Trans Numer Anal, 2015, Vol. 44, p. 572–592. Conen, L, Dolean, V, Krause, R, Nataf, F, Addendum to "A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator'' [J Comput Appl Math, 2014, Vol. 271 p. 83–99] [MR3209915]. J Comput Appl Math, 2015, Vol. 290, p. 670–674. Dolean, V, Gander, M J, Lanteri, S, Lee, J-F, Peng, Z: Effective transmission conditions for domain decomposition methods applied to the time-harmonic curl-curl Maxwell's equations. J Comput Phys, 2015, Vol. 280, p. 232–247. Duffy, B R, Langer, M, Wilson, S K: Closed-form solution of a thermocapillary free-film problem due to Pukhnachev. European Journal of Applied Mathematics, 2015, Vol. 26, No. 5, p. 721-741. Pritchard, D, Duffy, B R, Wilson, S K: Shallow flows of generalised Newtonian fluids on an inclined plane. Journal of Engineering Mathematics, 2015, Vol. 94, No. 1, p. 115–133. Knox, D, Wilson, S K, Duffy, B R, McKee, S: Porous squeeze-film flow. IMA J Appl Math, 2015, Vol. 80, p.376-409. Stauber, J M, Wilson, S K, Duffy, B R, Sefiane, K: Evaporation of droplets on strongly hydrophobic substrates. Langmuir, 2015, Vol. 31, No. 12, p. 3653-3660.

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Paterson, C, Wilson, S K, Duffy, B R: Strongly coupled interaction between a ridge of fluid and an inviscid airflow. Phys Fluids, 2015, Vol. 27, No. 7, 072104.

Stauber, J M, Wilson, S K, Duffy, B R, Sefiane, K: On the lifetimes of evaporating droplets with related initial and receding contact angles. Phys Fluids, 2015, Vol. 27, No. 12, 122101.

Estrada, E, Chen, G: Syncronizability of random rectangular graphs. Chaos: An Interdisciplinary Journal of Nonlinear Science, 2015, Vol. 25, 083107. Estrada, E, Vargas-Estrada, E, Ando, H: Communicability angles reveal the critical links in network consensus dynamics. Physical Review E, 2015, Vol. 92, 052809. Estrada, E, Arrigo, F: Predicting triadic closure in networks using communicability distance functions. SIAM Journal of Applied Mathematics, 2015, Vol. 75, p. 1725-1744. Estrada, E, Sheerin M: Random rectangular graphs. Physical Review E, 2015, Vol. 91, 042805. Zhao, Y, Jiang, D, Mao, X, Gray, A: The threshold of a stochastic SIRS epidemic model in a population with varying size. Discrete and Continuous Dynamical Systems, 2015, Vol. B 20, No. 4, p. 1289-1307. Van der Zee, R, Gray, A J, Pisa, L W, de Rijk, T C: An observational study of honey bee colony winter losses and their association with Varroa destructor, neonicotinoids and other risk factors. PLoS ONE, 2015, Vol. 10, No. 5, e0131611(7). Greenhalgh, D, Liang, Y, Mao, X: Demographic stochasticity in the SDE SIS epidemic model. Discrete and Continuous Dynamical Systems Series B, 2015, Vol. 20, No. 9, p. 2859-2884. Yang, H M, Greenhalgh, D: Proof of conjecture in: The basic reproduction number obtained from Jacobian and next generation matrices - A case study of dengue transmission modelling. Applied Mathematics and Computation, 2015, Vol. 265, p. 103-107. Greenhalgh, D, Rana, S, Samanta, S, Sardar, T, Bhattacharya, S, Chattopadhyay, J: Awareness programs control infectious disease - Multiple delay induced mathematical model. Applied Mathematics and Computation, 2015, Vol. 251, p. 539-563. Higham, D J: An introduction to multilevel Monte Carlo for option valuation. International Journal of Computer Mathematics (Special Issue on Computational Methods in Finance), 2015, Vol. 92, p. 2347-2360. Anderson, D F, Higham, D J, Sun, Y: Complexity of multilevel Monte Carlo tau-leaping. SIAM Journal on Numerical Analysis, 2015, Vol. 52, p. 3106-3127. Simpson, C R, Lone, N I, Kavanagh, K, Ritchie, L D, Robertson, C, Sheikh, A & McMenamin, J: Trivalent inactivated seasonal influenza vaccine effectiveness for the prevention of laboratory-confirmed influenza in a Scottish population 2000 to 2009. Eurosurveillance, Vol. 20, No. 8, p. 2, 2015. Drolet, M, Benard, E, Boily, M-C, Ali, H, Baandrup, L, Bauer, H, Beddows, S, Brisson, J, Brotherton, J M L, Cummings, T, Donovan, B, Fairley, C K, Flagg, E W, Johnson, A M, Kahn, J A, Kavanagh, K, Kjaer, S K, Kliewer, E V, Lemieux-Mellouki, P, Markowitz, L, Mboup, A, Mesher, D, Niccolai, L, Oliphant, J, Pollock, K G, Soldan, K, Sonnenberg, P, Tabrizi, S N, Tanton, C & Brisson, M: Population-level impact and herd effects following human papillomavirus vaccination programs: a systematic review and meta-analysis. Lancet Infectious Diseases, 2015, Vol. 15, No. 5, p. 565-580. Adkin, A, Brouwer, A, Downs, S H, Kelly, L: Assessing the impact of a cattle risk-based trading scheme on the movement of bovine tuberculosis infected animals in England and Wales. Preventive Veterinary Medicine, 2016, Vol. 123, p. 23-31. Hill, A A, Drewe, T, Kosmider, R, Von Dobschuetz, S, Munoz, O, Hanna, A, Fusaro, A, De Nardi, M, Howard, W, Stevens,K, Kelly, L, Havelaar, A, Stark, K: Modelling the species jump: towards assessing the risk of human infection from novel avian influenzas. Royal Society Open Science, 2015, Vol. 2, 150173. Gale, P, Kelly, L, Snary, E L: Qualitative assessment of the entry of capripoxviruses into Great Britain from the European Union through importation of ruminant hides, skins and wool. Microbial Risk Analysis, 2015, Vol. 1, p. 13-18.

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Gale, P, Kelly, L, Mearns, R, Duggan, J, Snary, E L: Q fever through consumption of unpasteurised milk and milk products – a risk profile and exposure assessment. Journal of Applied Microbiology, 2015, Vol. 118, No. 5, p. 1083-1095. Gale, P, Kelly, L, Snary, E L: Pathways for entry of livestock arboviruses into Great Britain: assessing the strength of evidence. Transboundary and Emerging Diseases, 2015, Vol. 62, No. 2, p. 115-228. Langer, M, Woracek, H: Stability of N-extremal measures. Methods of Functional Analysis and Topology, 2015, Vol. 21, No. 1, p. 69-75. Langer, M, Woracek, H: Distributional representations of 𝑁𝑁κ

∞-functions. Mathematische Nachrichten, 2015, Vol. 288, No. 10, p. 1127-1149. Behrndt, J, Grubb, G, Langer, M, Lotoreichik, V: Spectral asymptotics for resolvent differences of elliptic operators with δ and δ’-interactions on hypersurfaces. Journal of Spectral Theory, 2015, Vol. 5, No. 4, p. 697-729. Tant, K M M, Mulholland, A J, Langer, M, Gachagan, A: A fractional Fourier transform analysis of the scattering of ultrasonic waves. Proc. Roy. Soc. A, 2015, Vol. 471, p. 20140958. McGinty, S, McKee, S, McCormick, C, Wheel, M: Release mechanisms and parameter estimation in drug-eluting stent systems: analytical solution of drug disease and tissue transport. Med & Biol, 2015, Vol. 32, p. 163-186. McGinty, S, Vo, T T N, Meere, M, McKee, S, McCormick, C: Some design considerations for polymer-free drug-eluting stents: a mathematical approach. Acta Biomaterialia, 2015, Vol. 18, p. 213-225. McGinty, S, Wheel, M, McKee, S, McCormick, C: Does anisotropy promote spatial uniformity of stent-delivered drug distribution in arterial tissue? Int J Heat & Mass Transfer, 2015, Vol. 90, p. 266-279. McKee, S, Cuminato, J A: Nonlocal diffusion, a Mitlag-Leffler function and a two-dimensional Volterra integral equation. J Math Anal & Applics, 2015, Vol. 423, p. 243–252. Mohanty, R K, McKee, S: On the stability of two new two-step explicit methods for the numerical integration of second order initial value problems on a variable mesh. Appl Maths Letters, 2015, Vol. 45, p. 31–36. Stewart, I W, Vynnycky, McKee, S, M, Tomé, M F: Boundary layers in pressure-driven flow in smecticA liquid crystals. SIAM Appl Mat., 2015, Vol. 75, No. 4, p. 1817-1851. MacDonald, C S, MacKenzie, J A, Ramage, A, Newton, C J P: Efficient moving mesh methods for Q-tensor models of nematic liquid crystals. SIAM Journal on Scientific Computing, 2015, Vol. 37, No. 2, p. B215-B238. Liu, W, Mao, X: Numerical stationary distribution and its convergence for nonlinear stochastic differential equations. Journal of Computational and Applied Mathematics, 2015, Vol. 276, p. 16-29. Mao, X: Almost sure exponential stability in the numerical simulation of stochastic differential equations. SIAM J Numer Anal, 2015, Vol. 53, No. 1, p. 370--389. Mao, W, You, S, Wu, X, Mao, X: On the averaging principle for stochastic delay differential equations with jumps. Adv Difference Equ, 2015, Vol. 70, 19 pp. You, S, Hu, L, Mao, W, Mao, X: Robustly exponential stabilization of hybrid uncertain systems by feedback controls based on discrete-time observations. Statistics and Probability Letters, 2015, Vol. 102, p. 8-16. You, S, Liu, W, Lu, J, Mao, X, Qiu, Q: Stabilization of hybrid systems by feedback control based on discrete-time state observations. SIAM J Control and Optimization, 2015, Vol. 53, No. 2, p. 905-925. Mao, W, Zhu, Q, Mao, X: Existence, uniqueness and almost surely asymptotic estimations of the solutions to neutral stochastic functional differential equations driven by pure jumps. Appl Math Comput, 2015, Vol. 254, p. 252-265. You, S, Mao, W, Mao, X, Hu, L: Analysis on exponential stability of hybrid pantograph stochastic differential equations with highly nonlinear coefficients. Appl Math. Comput, 2015, Vol. 263, p. 73-83.

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Mao, X: The truncated Euler-Maruyama method for stochastic differential equations. Journal of Computational and Applied Mathematics, 2015, Vol. 290, p. 370-384. Mao, W, Hu, L, Mao, X: The existence and asymptotic estimations of solutions to stochastic pantograph equations with diffusion and Levy jumps. Applied Mathematics and Computation, 2015, Vol. 268, p. 883-896. Zhang, L, Mao, X: Vehicle density estimation of freeway traffic with unknown boundary demand-supply: an interacting multiple model approach. IET Control Theory & Applications, 2015, Vol. 9, No. 13, p. 1989-1995. Guarato, F, Mulholland, A J, Windmill, J F, Gachagan, A: Ratiation Properties of Truncated Cones to Enhance the Beam Patterns of Air-coupled Transducers. Physics Procedia, 2015, Vol. 70, p. 163-166. Tramontana, M, Gachagan, A, Nordon, A, Littlejohn, D, Mulholland, A J: System Modeling and Device Development for Passive Acoustic Monitoring of a Particulate-Liquid Process. Sensors & Actuators: A. Physical, 2015, Vol. 228, p. 159-169. Agimelen, O S, Hamilton, P, Haley, I, Nordon, A, Vasile, M, Sefcik, J, Mulholland, A J: Estimation of particle size distribution and aspect ratio of non-spherical particles from chord length distribution. Chemical Engineering Science, 2015, Vol. 123, p. 629-640. Tant, K M M, Mulholland, A J, Gachagan, A: A model based approach to crack sizing in the frequency domain. IEEE, Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 2015, Vol. 62, No. 5, p. 915-926. Farrell, P, Pestana, J: Block Preconditioners for Linear Systems Arising from Multiscale Collocation with Compactly Supported RBFs. Numerical Linear Algebra with Applications, 2015, Vol. 22, p. 731-747. Pestana, J, Wathen, A J: A preconditioned MINRES method for nonsymmetric Toeplitz matrices. SIAM Journal on Matrix Analysis and Applications, 2015, Vol. 36, p. 273-288. Pestana, J, Wathen, A J: Natural preconditioning and iterative methods for saddle point systems. SIAM Review, 2015, Vol. 57, p. 71-91. Khan, Z H, Pritchard, D: Anomaly of spontaneous transition to instability of liquid–vapour front in a porous medium. International Journal of Heat and Mass Transfer, 2015, Vol. 84, p. 448–455. Ramage, A, Sonnet, A M: Computational fluid dynamics for nematic liquid crystals. BIT Numer Math, 2016, Vol. 56, p. 573–586. Gartland, Jr, E C, Ramage, A: A renormalized Newton method for liquid crystal director modelling. SIAM Journal on Numerical Analysis, 2015, Vol. 53, No. 1, p. 251-278. de Lusignan, S, Pebody, R, Warburton, F, Andrews, N, Ellis, J, von Wissman, B, Robertson, C, Yonova, I, Cottrell, S, Gallagher, N: Effectiveness of trivalent seasonal influenza vaccine in preventing laboratory-confirmed influenza in primary care in the United Kingdom: 2014/15 end of season results. Eurosurveillance, 2015, Vol. 20, No. 36, p. 1-18. Simpson, C R, Lone, N, McMenamin, J, Gunson, R, Robertson, C, Ritchie, L D, Sheikh, A: Early estimation of pandemic influenza Antiviral and Vaccine Effectiveness (EAVE): use of a unique community and laboratory national data-linked cohort study. Health technology assessment (Winchester, England), 2015, Vol. 19, No. 79, p. 1-32. Packer, S, Cairns, S, Robertson, C, Reilly, J, Willocks, L: Determining the effect of social deprivation on the prevalence of healthcare-associated infections in acute hospitals: a multivariate analysis of a linked data set. Journal of Hospital Infection, 2015, Vol. 91, No. 4, p. 351-357. Snow, B C, Stewart, I W: Behaviour of a Shear-Wave at a Solid-Smectic Interface. Molecular Crystals and Liquid Crystals, 2015, Vol. 612, No. 1, p. 98-109.

Tant, K M M, Mulholland, A J, Langer, M, Gachagan, A: A fractional Fourier transform analysis of the scattering of ultrasonic waves. Proc Roy Soc A, 2015, Vol. 471, No. 2175, 20140958.

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Lim, L T, Agarwal, P K, Young, D, Ah-Kee, E Y, Diaper, C J M: The effect of socio-economic status on severity of periocular basal cell carcinoma at presentation. Ophthal Plast Reconstr Surg, 2015, Vol. 31, No. 6, p. 456-458. Davidson, C, O’Hare, A, Mactaggart, F, Green, J, Young, D, Gillberg, C, Minnis, H: Social relationship difficulties in autism and reactive attachment disorder: improving diagnostic validity through structured assessment. Research in Developmental Disabilities, 2015, Vol. 40, p. 63-72.

Other Articles Gray, A J, Peterson, M M: Citizen science investigation into the diversity of pollen forage available for honey-bees (CSI Pollen): Report for 2014 and prospect for 2015. The Scottish Beekeeper, 2015, Vol 92, No. 1, p. 18-22. Gray, A J, Peterson, M M: Citizen science investigation into the diversity of pollen forage available for honey-bees (CSI Pollen): Correction of publishing error. The Scottish Beekeeper, 2015, Vol 92, No. 2, p. 44-44. Gray, A J, Peterson, M: The 2014 SBA/COLOSS survey of beekeepers. Part 1: Winter losses. The Scottish Beekeeper, 2015, Vol. 92, No. 9, p. 302-305. Gray, A J, Peterson, M: The 2014 SBA/COLOSS survey of beekeepers. Part 2. The Scottish Beekeeper, 2015, Vol. 92, No. 10, p. 336-337.

Conference Proceedings Banas, N S, Cheng, W: An oceanographic circulation model for South Puget Sound. Shellfish aquaculture in Washington State: Final report to the Washington State Legislature. Washington SeaGrant, 2015, Chapter 4, 84 pp. Gray, A J, Carreck, N, Coffey, M F, Peterson, M: Extending participation in CSI Pollen in the UK and Ireland. Abstract. In Proceedings of CSI Pollen Workshop, p. 14-15 COLOSS publication, eds. J van der Steen and R Brodschneider, Copenhagen, January 2015. Peterson, M, Gray, A J: A short report on the CSI pollen project in Scotland. Abstract. In Proceedings of CSI Pollen Workshop, p. 19-20, COLOSS publications, eds. J van der Steen and R Brodschneider, Copenhagen, January 2015. Gray, A J, Brodschneider, R: Developments and plans for the colony loss monitoring. Abstract. In Proceedings of COLOSS Monitoring Workshop, p. 6-7, COLOSS publication, eds. A Gray and R Brodschneider, Copenhagen, January 2015. Gray, A J, Peterson, M: Loss rates from the colony loss monitoring survey in Scotland for winter 2013-14. Abstract. In Proceedings of COLOSS Monitoring Workshop, p.27, COLOSS publication, eds. A Gray and R Brodschneider, Copenhagen, January 2015. Hatjina, F, Bak, B, Bienkowska, M, Costa, C, Dall'Olio, R, Drazic, M, Garcia, C, Gerula, D, Gray, A, Kezic, D, Kezic, N, Medrzycki, P, Mladenovic, M, Panasiuk, B, Peterson, M, Rasic, S, Siuda, M, Stanisavljevic, L, Tosi, S, Wilde, J: Field assessment of impacts of different neonicotinoids on honey bee queens and drones. Abstract. In 44th APIMONDIA International Apicultural Congress, Daejeon, Korea, September 2015, Abstract No. BHO-042. Scientific Programme Abstracts: p. 206. Hatjina, F, Andere, C, Bak, B, Bedascarrasbure, E, Bienkowska, M, Costa, C, Dall’Olio, R, Drazic, M, Figini, E, Filipi, J, Garcia, C, Gerula, D, Gray, A, Ioannidis, P, Kezic, D, Kezic, N, Koukourikos, T, Martinez, A, Medrzycki, P, Mladenovic, M. Palacio, M A, Panasiuk, B, Peterson, M, Rasic, S, Rodriguez, E, Rodriguez, G, Siuda, M, Stanisavljevic, L, Tosi, S, Wilde, J, Zubillaga, A. Field assessment of impacts of different neonicotinoids onhoney bee queens and drones. Abstract of poster. Proceedings of 11th COLOSS Conference: Current Threats and future Beekeeping, p. 27, Lukovica, Slovenia, October 2015.

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Laflin, P, Mantzaris, A V, Ainley, F, Otley, A, Grindrod, P, Higham, D J: Anticipating activity in social media spikes. Proceedings of the Workshop on Modelling and Mining Temporal Interactions, Workshop of the 9th International Conference on the Web and Social Media. Association for the Advancement of Artificial Intelligence, Oxford, 2015. Dobson, J, Tweedie, A, Harvey, G, O’Leary, R, Mulholland, A J, Tant, K M M, Gachagan, A: Finite Element Analysis Simulations for Ultrasonic Array NDE Inspections, 42nd Annual Review of Progress in Quantitative Nondestructive Evaluation: Incorporating the 6th European-American Workshop on Reliability of NDE. Chimenti, D E, Bond, L J (eds.). Melville, NY: AIP Conference Proceedings, 2015, Vol. 1706, 040005. Tant, K M M, Mulholland, A J, Gachagan, A: An analytical approach to objectively sizing cracks using ultrasonic phased array data. 54th Annual British Conference of Nondestructive testing, NDT 2015. Guarato, F, Mulholland, A J, Windmill, J, Gachagan, A: Radiation Properties of Truncated Cones to Enhance the Beam Pattern of Air-Coupled Transducers. ICU2015, Metz, France, 2015.