ANNUAL REPORT 1998
The last year has been one of considerable change for the Department of Mathematics at Heriot-Watt. Two long-standing members of staff, Professor Robin Knops and Mr Jim Bree, retired during the year. Robin Knops has been at Heriot-Watt for 27 years, including periods as Head of Department, Dean of Science and Vice-Principal; we are pleased that he continues to be involved in the local mathematical community through ICMS and ICIAM99.
In 1998 we were pleased to honour one of our former colleagues, Professor John M Ball, FRS, who was given an honorary degree in the July graduation.
The department has also welcomed many new faces during the year, which started with the arrival of Professors Sergei Kuksin and Jonathan Sherratt, and Dr Robert Weston. During the summer, Drs Chris Boulter and Paul Turner were appointed, and joined us later in the year, and we look forward to the arrival of Drs Jan Kristensen and Andrew White, who have recently been appointed.
With these new appointments, our research activity continues to grow and broaden. An exciting development during the year was the award of a prestigious grade 1 to a Teaching Company project, lead by Dr Dugald Duncan and Professors Chris Eilbeck and Andrew Lacey, in collaboration with Edinburgh Petroleum Services, and follow-up projects are building on this success. Mathematical biology is growing within the department, and a Scottish Theoretical Biology Forum, part-led by Professor Jonathan Sherratt, was established during the year. Professor Cliff Beevers and the CALM group went from strength to strength, gaining a major contract in 1998 for the development of computer examinations for use in the Far East.
As in previous years, members of the Department made several invited lectures at international conferences. Most notable of these was the invited address given by Professor Sergei Kuksin at the International Congress of Mathematicians in Berlin.
In 1999, we look forward to a number of scientific meetings run by members
of the department at the International Centre for Mathematical Sciences,
and to the Fourth International Congress of Industrial and Applied Mathematics,
coordinated by Professor Jack Carr and Dr Michael Levitin, which will bring
several thousand mathematicians to Edinburgh.
J Howie, Head of Department
Staff Visitors Conferences Invited Papers and Seminars Service to Mathematical Community Research & other Grants
Theses presented for Higher Degrees Publications Papers submitted for publication
|Head of Department||J Howie|
|Professors||C E Beevers
K J Brown
J C Eilbeck
R J Knops
A A Lacey
J A Sherratt
|Professor Emeritus||O Penrose|
|Honorary Professor||F M Russell|
|Readers||R N Hills
D A Johnston
B P Rynne
|Senior Lecturers||D E R Clark
D B Duncan
G R McGuire
A R Prince
|Lecturers||C J Boulter
B P Dodds
N D Gilbert
L E Nicholas
H U Rahman
P R Turner
R A Weston
D G Wilkinson
M A Youngson
|Temporary Lecturers||R M Dunwell
|Research Fellow||J L Marin|
|Research Associates||L Cruzeiro-Hansson
J C Dallon
D J Fiddes
D G Wild
|Teaching Company Associate||J Tracey|
|Computing Officers||M Foster
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TO THE DEPARTMENT
The following made long-term visits:
Bario R, Zaragoza
|In addition short-term visits were made and seminars given by the following:|
|Baesens, C, Cambridge University||Handley-Schachler, S, Edinburgh Petroleum Services|
|Blank, Michael, Moscow||Henkel, M, LPS, Nancy|
|Braden, H W, Edinburgh University||Iserles, A, Cambridge University|
|Brindley, J, Leeds||Kovalev, A, Edinburgh University|
|Buchstaber, V, Moscow||Kropholler, P H, Queen Mary & Westfield College|
|Carstensen, C, Kiel||Lewis, M A, University of Utah|
|Chaplain, M A J, Dundee||Mikhailov, S, Leeds University|
|Chaves, M, Universidad Autonoma de Madrid||Nechaev, S, CNRS-Universite Paris XI & Landau Institute|
|Davie, S, Edinburgh University||Pego, R, University of Maryland|
|Davies, B, King"s College||Piatnitski, A, Moscow and Narvik|
|Ekeland, I, Université Paris-Dauphine||Pohozhaev, S, Steklov Institute, Moscow|
|Enolskii, V, Kiev||Pollicott, M, University of Manchester|
|Evans, D, Bristol University||Richmond, N J, Leeds|
|Eynard, B, Durham University||Silhavy, M, Prague|
|Friedman, A, University of Minnesota||Skubachevskii, A L, Moscow|
|Funken, S, Kiel||Slemrod, M, University of Wisconsin|
|Gaffney, E A, Oxford||Suhov, Y, Cambridge University|
|Gilson, C, Glasgow University||Ward, M, University of British Columbia|
|Gonzales, R, Madrid||Weigel, M, Leipzig|
|Gordon, I G, Edinburgh University||Wilson, J S, Birmingham University|
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ORGANISED BY MEMBERS OF STAFF
Scottish Computational Mathematics Symposium, Strathclyde University, 21 September 1998 – D B Duncan
NBDES Anniversary Meeting, 2 February 1998, University of Glasgow – D B Duncan
ICMS meeting on Algebraic Geometry, the "Baker" meeting, 19-22 September 1998 – J C Eilbeck, with E Rees, Edinburgh and V Z Enolskii, Kiev
Workshop on "Computational and Geometric Aspects of Modern Algebra", Heriot-Watt University, 22 – 31 July 1998 – N D Gilbert and J Howie; and M D Atkinson, S A Linton and E F Robertson, St Andrews
Scottish Algebra Day, 1 May 1998 – J Howie with K A Brown, Glasgow and T H Lenagan, Edinburgh
Meeting to the mark the retirement of R J Knops, 11 September 1998, "Applied Analysis and Continuum Mechanics" - J C Eilbeck, J Howie, and A A Lacey
Workshop on "Chaos and Fractals in Medicine", 15 – 16 December 1998,
University of Warwick – J A Sherratt
|INVITED PAPERS AND SEMINARS GIVEN BY MEMBERS OF STAFF|
|Professor C E Beevers||Seminar, MATHWISE User Group, Nottingham University, January 1998 (with
J Dorner, Napier University), "CAL – Assessment by Computer"
Seminar, ICBL, Heriot-Watt University, January 1998 (with Dr D G Wild), "CALM view of assessment"
Seminar, Training day for mathematics examiners, Cambridge University, April 1998 (with Dr D G Wild), "Setting questions in a template"
Invited talk, "Teaching over the Web" workshop, Heriot-Watt University, June 1998 "Assessment in the SUMSMAN project"
Conference talk "SUMSMAN Training Day" (Video conference from Napier University), September 1998, "Assessment in the SUMSMAN project"
Contributed talk, "MATHWISE User Group First Annual Conference", Birmingham University, September 1998, "Using MATHWISE in a university course"
Contributed talk "Alt-C Annual Conference", Oxford University, September 1998. "Issues of partial credit in mathematical courseware"
Contributed talk, "Assessment Strand of TALISMAN Video Conference to Scottish Universities", October 1998, from Napier University studio, "The role of the computer in assessment"
|Professor J Carr||Seminar, University of Oxford, June 1998, "Coarsening"
Seminar, University of Glasgow, October 1998, "Asymptotics of nonlocal partial differential equations"
Lecture, International Congress of Mathematicians, Berlin, August 1998, "Lifshitz-Slyozov theory of coarsening"
|Dr J C Dallon||Seminar, Brigham Young University, April 1998, "Mathematical modelling
in biology: wound healing and slime mould"
Invited talk, Workshop on "Pattern Formation and Morphogenesis: the Basic Process" (part of the IMA program on Mathematical Biology), Minnesota, 7-12 September 1998, "Streaming and spiral waves in slime mould"
|Professor J C Eilbeck||Seminar, University of Swansea, March 1998, "Breathers in 1D
and 2D lattices"
Conference talk, International workshop on "Transmission and Signal Processing in Nonlinear Electronics and Optics", Dijon, France, 8-10 June 1998, "Some studies of travelling waves on discrete systems"
Conference talk, Nonlinear Science Festival, 7-12 December 1998 Niels Bohr Institute, Copenhagen, "Localized breathers on two-dimensional lattices"
|Dr N D Gilbert||Seminar, University of Leeds, November 1998, "Groups with braid presentations"|
|Professor J Howie||Seminar, UMIST, February 1998, "Bestvina-Brady groups and the plus
Seminar, University of St Andrews, February 1998, "Bestvina-Brady groups and the plus construction"
Seminar, Université de Provence, Marseille, September 1998 "Varietes de Seifert pour les noueds rubans de dimension superieures"
Seminar, Université de Provence, Marseille, September 1998, "Bestvina-Brady groups and the plus construction"
Seminar, University of Cambridge, November 1998. "Generalised triangle groups and the existence of free subgroups"
Invited talk "Groups in Galway", Galway, 21 – 23 May 1998, "Rigidity of one-relator groups with centre"
|Dr D A Johnston||Seminar: Albert Einstein Institute, Potsdam, May 1998:, "Balls in boxes
and quantum gravity"
University of Edinburgh, September 1998, "Quantum gravity as a load of balls"
Invited talk at "Quantum Geometry, Random Matrices, Statistical Models of Strings and Quantum Gravity", November 26-28, Copenhagen University
|Dr K Khanin||Series of 3 talks in the Series "Seminars on Problem of Turbulence",
Heriot-Watt and Edinburgh Universities, March 1998, "Random Burgers equations
Seminar, University of Sussex, May 1998, "Rigidity in one-dimensional dynamics"
Seminar, EPFL, Lausanne, June 1998, "Rigidity in one-dimensional dynamics"
Seminar, Queen Mary and Westfield College, December 1998, "Dynamical systems and random Burgers equation"
Invited talk, European Conference on "Probabilistic Methods in Non-Hyperbolic Dynamics, University of Warwick, 30 April – 4 May 1998, "Simultaneous Diophantine approximations"
Invited talk, International Workshop on "Dynamical Systems", Trieste, 30 August – 21 September 1998, "Dynamical Systems and Kolmogorov"s Turbulence" and "Simultaneous Diophantine approximations"
Invited talk, Mini-symposium on "Dynamical Systems", Helsinki, December 1998, "Random forced Burgers equation"
|Professor R J Knops||Seminar, University of Oxford, January 1998, "Uniqueness in nonlinear
Seminar, University of Pisa, October 1998, "Saint-Venant"s principle: the search of an engineering conjecture for mathematical verification"
Conference talk, British Applied Mathematics Colloquium, Brunel University, 6-9 April 1998, "Spatial stability in a partially constrained elastic plate"
Conference talk, Symposium "Trends in Applications of Mathematics to Mechanics", Nice, 25-29 May 1998, "Uniqueness in the traction boundary value problem of nonlinear elasticity"
Invited talk, Symposium on "Mechanics of Materials", Oberwolfach, August 1998, "Spatial behaviour in continua"
Invited talk "2nd International Symposium, Problemi Attuali dell"Analise e della Fisica Matematica, Taormina, 15-17 October 1998, "Aspects of spatial stability in elasticity"
|Professor S Kuksin||Seminar, "North British Probability Seminar", January 1998, "Stochastic
Seminar, University of Cambridge, February 1998, "Turbulence in nonlinear PDEs" Seminars, University Paris VI, 6 and 8 April 1998, "KAM theory for partial differential equations"
Series of 3 talks in the Series "Seminars on Problem of Turbulence", Heriot-Watt and Edinburgh Universities, April and May 1998, "Theory of turbulence"
Seminar, Imperial College, June 1998, "Turbulence in nonlinear PDEs"
Seminar, University of Liverpool, October 1998, "How to count solutions of a nonlinear PDE in a manifold"
Seminar, University of Oxford, November 1998, "Turbulence in nonlinear PDEs"
Seminar, University of Surrey, November 1998 "Turbulence in nonlinear Schrödinger equation"
Seminar, University of Bath, December 1998, "Elliptic equations for maps solved in manifolds"
Seminar, University of Edinburgh, December 1998, "Lefschets formula from PDEs in manifolds"
Invited talk, Conference in honour of Professor Novikov"s 60th birthday, Moscow, 25-29 May 1998, "On persistence of finite-gap solutions"
Invited talks, CIME Conference " Dynamical Systems and Small Divisors", Cetraro, Italy, 13-20 June, 1998, 3 lectures "KAM theory for partial differential equations"
Invited talk, International Congress of Mathematicians, Berlin, 17-28 August 1998, "Elements of a qualitative theory of Hamiltonian PDEs"
|Professor A A Lacey||Seminar, Instituto Superior Tecnico, Lisbon, September 1998, "A nonlocal
hyperbolic problem modelling food sterilization"
Seminar, Universidade de Beira Interior, Covilha, September 1998, "Persistence of corners in free boundaries in Hele-Shaw flow"
Seminar, Centro de Matematica e aplicacoes Fundamentais, Universidade de Lisboa, September 1998, "A nonlocal hyperbolic problem modelling food sterilization"
Invited talk, British Applied Mathematics Colloquium, Brunel University, 6-9 April, 1998, "Use of complex-variable theory in oil-reservoir testing"
|Dr J L Marin||Seminar, University of Arizona, October 1998, "Moving breathers in
2D Hamiltonian lattices"
Seminar, Centre for Non-Linear Studies, Los Alamos National Laboratory, New Mexico, October 1998, "Moving breathers in 2D Hamiltonian lattices"
Talk, CECAM Conference "Nonlinear Localized Excitations in Condensed Matter and Molecular Physics", Lyon, 7 July 1998, "Moving breathers in 2D: the mica problem"
|Professor O Penrose||Seminar, Rutgers University, Mathematics Department, March 1998, "Asymptotic
behaviour of a simplified Becker-Döring equation"
Seminar, Rutgers University, Physics Department, April 1998, "Does off-diagonal long-range order help to explain superconductivity?"
Seminar, University of Leoben, Austria, June 1998, "Diffusion-induced grain boundary motion"
|Dr A R Prince||Invited talk, Combinatorics "98 Conference, Palermo, 14-20 June, 1998, "Covering sets of spreads in PG(3,q)"|
|Dr B P Rynne||Seminar, Dundee University, April 1998, "Oscillating global continua
of positive solutions of semilinear elliptic problems"
Seminar, joint Strathclyde/Glasgow Universities Analysis Seminar, November 1998, "The Fucik spectrum: what is it and what does it look like?"
|Professor J A Sherratt||Seminar, Strathclyde University, January 1998, "Mathematical modelling
Seminar, University of Glasgow, May 1998, "Mathematical modelling of tumour invasion"
Seminar, University of St Andrews, November 1998, "Invasive wave fronts and spatiotemporal oscillations in predator-prey systems"
Colloquium, University of Edinburgh, November 1998, "Can mathematics help to cure cancer"
Seminar, Glasgow Caledonian University, November 1998, "Can mathematics help to cure cancer"
Invited talk, Conference on "The Mathematical Biology of Patterns and Processes", Bath, 5-9 April 1998, "Discrete mathematical models for cell populations"
Invited talk, Gordon Conference on "Theoretical Biology and Biomathematics", Tilton, New Hampshire, USA, 7-12 June 1998, "Mathematical modelling of scar tissue structure"
Invited talk, Workshop on "Pattern Formation and Morphogenesis: the Basic Process" (part of the IMA program on Mathematical Biology), Minnesota, 7-12 September 1998, "Signal range and spatial patterns in juxtacrine signalling"
Invited talk, Conference on "On Growth and Form" (a meeting to commemorate the work of D"Arcy Thompson), Dundee, 20-24 September 1998, "Pattern formation in cancer"
|Dr R A Weston||Conference talk, "2nd Informal UK meeting on 2D Integrable Models,
conformal Field Theory and Related Topics, Durham, April 1998", "Vertex
models with alternating spins"
Conference talk, Second Annual European TMR Conference on "Integrability, Non-perturbative Effects and symmetry in Quantum Field Theory, Durham, September 1998, "Mixing of ground states in vertex models"
Lecture series, Heriot-Watt University, January and February 1998, 5 lectures "The algebraic analysis of solvable lattice models"
Seminar, University of Edinburgh, Department of Physics, June 1998, "Correlation functions in solvable lattice models"
Seminar, Edinburgh/Heriot-Watt Algebra seminar, December 1998, "Crystals, paths and walls: vertex models and crystal bases"
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|SERVICE TO THE MATHEMATICAL COMMUNITY|
|Professor C E Beevers||External examiner (BSc), University of Sunderland
Vice-Chairman MATHWISE Executive Committee
Member of SUMSMAN Committee
|Professor K J Brown||Executive Editor of Proceedings of the Royal Society of Edinburgh|
|Professor J Carr||External Examiner (BSc), University of Aberdeen
External Examiner (BSc), University of Glasgow
Chairman, Programme Management Committee ICIAM 99
|Dr D B Duncan||External examiner (PhD), University of Dundee
External examiner (PhD), Strathclyde University
Member, Centenary Fund Committee, Edinburgh Mathematical Society
Chair, North British Differential Equations Seminar
|Professor J C Eilbeck||External examiner (BSc), University of Dundee
External Examiner (DSc), University of Dijon
Member of Council, Royal Society of Edinburgh
|Dr N D Gilbert||Member of EPSRC Research Fellowship Panel
External examiner (PhD), University of St Andrews
|Professor J Howie||External examiner (PhD), Queen Mary and Westfield College
External examiner (BSc), York University
Member of EPSRC Mathematics College
Member of Mathematics Sectional Panel of Royal Society of Edinburgh
Vice-President, Edinburgh Mathematical Society
Member of Executive Committee of International Centre for Mathematical Sciences
Member of Editorial Board of International Journal of Algebra and Computation
|Dr D A Johnston||Mathematical Challenge organiser for Edinburgh and Borders regions
Mathematics masterclass for secondary school pupils on "The Game of Life", October 1998
External examiner (PhD), University of Oxford
|Dr K Khanin||Member of Editorial Board of the journal Dynamics and Stability
Member of Advisory Board of the journal Chaos
|Professor R J Knops||Convener of Executive Committee of International Centre for Mathematical
Member of Board of Directors of ICIAM 99 Ltd
Member of Local Organising Group for ICIAM 99
Member of Editorial Board of Meccania
Vice-President, International Society for the Interaction of Mathematics and Mechanics (ISIMM)
Convener of Editorial Board for ISIMM
|Professor A A Lacey||External examiner (BSc), Strathclyde University|
|Dr M Levitin||Member of Programme Management Committee, ICIAM 99|
|Dr G R McGuire||External examiner (BSc), University of Glasgow|
|Dr L E Nicholas||Member of IMA Scottish Committee|
|Professor O Penrose||Member of the Editorial Board of the Royal Society of Edinburgh Proceedings A|
|Dr A R Prince||External examiner (BSc), University of Stirling|
|Professor J A Sherratt||Member of EPSRC Mathematics College and Research Grant Panel
Member of Wellcome Trust Research Grant Panel
Associate Editor of the IMA Journal of Mathematics Applied in Medicine and Biology
Associate Editor of the Journal of Theoretical Medicine
External examiner (PhD), University of Bath
External examiner (DSc), University of Technology, Sydney
|Dr R A Weston||Member of EPSRC Mathematics College
External examiner (PhD), University of Durham
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|RESEARCH AND OTHER GRANTS AND MISCELLANEOUS INCOME REPORTED IN 1998|
|£80000||University of Cambridge Local Examinations Syndicate, awarded to Professor C E Beevers and the CALM group for the development of computer examinations|
|£61423||EPSRC, awarded to Professor J C Eilbeck, Postdoctoral Visiting Fellowship for Dr J M Speight, 1.3.98 – 28.2.01|
|£38829||EPSRC, awarded to Dr K Khanin, research into "Random Lagrangian Systems and Burgers Equation"|
|£34246||EPSRC, awarded to Professor R J Knops, administrative support for ICMS|
|£32380||BBSRC, awarded to Professor J A Sherratt, Earmarked postgraduate studentship: "Mathematical modelling of the spatiotemporal dynamics of cell signalling in the epidermis"|
|£25000||London Mathematical Society, awarded to Professor R J Knops, support for ICIAM 99|
|£24000||EPSRC, awarded to Professor R J Knops, support for ICIAM 99|
|£21360||Royal Society of Edinburgh Fellowship awarded to Dr D A Johnston|
|£20000||EPSRC, awarded to Professor J Carr for workshop "Hamiltonian Mechanics and Small Divisors in PDEs", June 1999|
|£19182||EPSRC, awarded to Professor R J Knops, administrative support for ICMS|
|£15000||Napier University, awarded to Professor C E Beevers and the CALM group to develop software for formal and informal student assessment|
|£8000||EPSRC, awarded to Professor J A Sherratt, support for scientific meeting, February – July 1999, "From single cells to continua: micro-scale to macro-scale modelling"|
|£5344||Leverhulme Trust, Research Fellowship awarded to Dr D A Johnston|
|£5000||Scottish Widows, awarded to Professor R J Knops, support for ICIAM 99|
|£3125||EOARD awarded to Professor R J Knops, support for ICIAM 99|
|£2250||British Council, ARC joint research grant awarded to Dr D A Johnston and Dr W Janke, Leipzig University|
|£2000||British Council, JRP joint research grant awarded to Dr D A Johnston and Drs P Bialas and Z Burda, Jagellonian University, Krakow|
|£2000||Bank of Scotland, awarded to Professor R J Knops, support for ICIAM 99|
|£2000||Jaguar, awarded to Professor R J Knops, support for ICIAM 99|
|£1500||Edinburgh Mathematical Society, support for ICIAM 99|
|£1000||EMS Centenary Fund, support for ICMS meeting on Algebraic Geometry – the "Baker" meeting, 19-22 September, 1998|
|£915||London Mathematical Society, support for Scottish Algebra day, 1 May 1998, awarded to Professor J Howie|
|£800||The Royal Society of Edinburgh, awarded to Professor J Carr, support for Primary Mathematics Masterclasses|
|£645||British Council travel grant awarded to Dr D A Johnston to visit Professor J Smit, University of Amsterdam|
|£580||British Council travel grant awarded to Dr D A Johnston to visit Dr R Loll, Albert Einstein, Institute, Potsdam, Germany|
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|THESES SUCCESSFULLY PRESENTED FOR HIGHER DEGREES|
|Yaroslav Zolotaryuk (PhD)||"Nonlinear dynamics of molecular and atomic chains"|
MSc in Mathematics of Nonlinear Models - joint with the University of Edinburgh
|Soren Bartels||"Electromagnetic scattering"|
|Jennifer Hutchinson||"A Comparison of various algorithms for solving semi-infinite linear-programming problems"|
|Daniel Jefferson||"A numerical investigation of turbulence"|
|Russell Lee||"An Autocatalator Model"|
|Toby Marthews||"An investigation into the effects of nonlinear filtering on some simple weather-prediction models"|
|Helen Wearing||"Mathematical modelling of juxtacrine patterning"|
|Stephen Paul Womble||"An Accelerating Soliton-Like Solution of a Non-Linear Schrodinger Equation"|
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|Afrouzi G A, Brown K J||On a diffusive logistic equation
Jour Math Analysis and Applications
Vol 225 pp 326-339 1998
|Beevers C E, Fiddes D J, McGuire G R, Wild D G, Youngson M A||Interactive PastPapers for GCSE Mathematics Lander Educational Software, Glasgow, 1998|
|Beevers C E, Quinney D||Mathwise diagnostic testing and assessment
Information Services & Use
Vol 18 pp 191-205 1998
|Benson D L, Maini P K, Sherratt J A||Unravelling the Turing bifurcation using spatially varying diffusion
Journal of Mathematical Biology
Vol 37 pp 381-417 1998
|Bialas P, Burda Z, Johnston D A||Balls in boxes and quantum gravity
Nuclear Physics B (Proceedings Supplement)
Vol 63 pp 763-765 1998
|Boulter C J||Interface Hamiltonian with a position-dependent stiffness: a nonlinear
functional renormalization group study
Physical Review E
Vol 57 pp 2062-2072 1998
|Boulter C J, Indekeu J O||Interfacial tension and interface delocalization phase boundary for
strongly type-I superconductors
International Journal of Thermophysics
Vol 19 pp 857-865 1998
|Brizhik L, Cruzeiro-Hansson L, Eremko A||Influence of electromagnetic radiation on molecular solitons
Journal of Biological Physics, 1998
|Brown K J, Stavrakakis N||On the construction of super and subsolutions for elliptic equations
on all of Rn
Journal Nonlinear Analysis
Vol 32 pp 87-95 1998
|Dallon J C, Othmer H G||A continuum analysis of the chemotactic signal seen by dictyostelium
Journal of Theoretical Biology
Vol 194 pp 461-483 1998
|Dallon J C, Sherratt J A||A mathematical model for fibroblast and collagen orientation
Bulletin of Mathematical Biology
Vol 60 pp 101-129 1998
|Duncan D B||Difference approximations of acoustic and elastic wave equations
Numerical Methods for Wave Propagation, Eds E F Toro and J F Clarke, Fluid Mechanics and its Applications
Vol 47 pp 197-210 1998
|Duncan D B||Proceedings of International Centre for Mathematical Sciences Conference
on Grid Adaptation in Computational PDEs; Theory and Applications, 1996,
Applied Numerical Mathematics
Vol 26 pp 1-275 1998
|Dzhalilov A, Khanin K||Singularity of the invariant measures for homeomorhisms of the circle
with break singularities
Functional Analysis and its Applications
Vol 32 pp 153-162 1998
|Gilbert N D||Monoid presentations and associated groupoids
Int. J. Algebra and Computation
Vol 8 pp 141-152 1998
|Herrero M A, Velazquez J L, Lacey A A||Global existence for reaction-diffusion systems modelling ignition
Arch. Rat. Mechs. Anal.
Vol 142 pp 219-251 1998
|Howie J||Minimal seifert manifolds for higher ribbon knots
Geometry and Topology Monographs:The Epstein Birthday Schrift, Editors I Rivin C Rourke and C Series, International Press
Vol 1 pp 261-293 1998
|Howie J||Free subgroups in groups of small deficiency
J. Group Theory
Vol 1 pp 95-112 1998
|Hunton J, Turner P R||Coalgebraic algebra
Journal of Pure and Applied Algebra
Vol 129 pp 297-313 1998
|Johnston D A||The Yang Lee edge singularity on Feynman diagrams
Vol A31 pp 5461-5469 1998
|Johnston D A, Plechac P||Equivalence of ferromagnetic spin models on trees and random lattices
Journal of Physics A
Vol 31 pp 475-482 1998
|Johnston D A, Plechac P||Vertex models on Feynman diagrams
Vol A248 pp 37-45 1998
|Khanin K||Burgers equation with random force
Proceedings of the XII International Congress in Mathematical Physics, Brisbane, July 1997
Vol 32 pp 153-162 1998
|Knops R J, Lupoli C||Some recent results on Saint-Venant's principle
Nonlinear Analysis and Continuum Mechanics (Eds G Buttazzo, G P Galdi, E Lanconelli and Pucci)
Chapter 6 pp 61-71 1998
|Knops R J, Payne L E||Spatial behaviour of energy in partially constrained thick elastic
Alti dei Convegni Lincei
Vol 140 pp 77-104 1998
|Knops R J, Villaggio P||Transverse decay of solutions in an elastic cylinder
Vol 33 pp 577-585 1998
|Kuksin S B||A KAM-theorem for equations of the Korteweg-de Vries type
Rev Math & Math Phys
Vol 10 pp 1-64 1998
|Kuksin S B||Elements of a qualitative theory of Hamiltonian PDEs
Proceedings of the International Congress of Mathematicians (Berlin, 1998)
Vol 2 pp 819-829 1998
|Lacey A A||Diffusion models with blow-up
Journal of Computational and Applied Mathematics
Vol 97 pp 39-49 1998
|Lacey A A, Ockendon J R, Sabina J||Multi-dimensional reaction diffusion equations with nonlinear
SIAM Journal of Applied Mathematics
Vol 58 pp 1622-1647 1998
|Levitin M||Dirichlet and Neumann heat invariants for Euclidean balls
Journal of Differential Geometry & Applications
Vol 8 pp 35-46 1998
|Little G, Clark D E R, Corney J R, Tuttle R||Delta-volume decomposition for multi-sided components
Journal of Computer-Aided Design
Vol 30 pp 695-705 1998
|Little G, Tuttle R, Corney J R, Clark D E R||A feature complexity index
ImechE Journal of Mechanical Engineering Science – Part C
Vol 212 pp 405-413 1998
|Marin J L, Eilbeck J C, Russell F M||Localized moving breathers in a 2-D hexagonal lattice
Phys Lett A
Vol 248 pp 225-229 1998
|Olsen L, Maini P K, Sherratt J A||Spatially varying equilibria of mechanical models: application to
dermal wound contraction
Vol 147 pp 113-129 1998
|Olsen L, Maini P K, Sherratt J A, Marchant B P||Simple modelling of extracellular matrix alignment in dermal wound
Journal of Theoretical Medicine
Vol 1 pp 172-192 1998
|Owen M R, Sherratt J A||Mathematical modelling of juxtacrine cell signalling
Vol 152 pp 125-150 1998
|Owen M R, Sherratt J A||Modelling the macrophage invasion of tumours: effects on growth and
IMA Journal of Mathematics Applied in Medicine and Biology
Vol 15 pp 165-185 1998
|Prince A R||The cyclic parallelisms of PG(3,5)
European Journal of Combinatorics
Vol 19 pp 603-612 1998
|Rahman H U||An analysis of neutron scattering spectroscopy in U20
Vol 252 pp 160-166 1998
|Rahman H U||The splitting of the 3H4 multiplet in uranium dioxide
Vol 94 pp 623-626 1998
|Rahman H U||Crystal-field excitations in uranium dioxide
Physics Letters A
Vol 240 pp 306-310 1998
|Rynne B P||The structure of Rabinowitz' global bifurcating continua for generic
quasilinear elliptic equations
Vol 32 pp 167-181 1998
|Rynne B P||Hausdorff dimension and generalized Diophantine approximation
Bulletin of the London Mathematical Society
Vol 30 pp 365-376 1998
|Rynne B P||The fractal dimension of quasi-periodic orbits
Ergod Theory and Dynamical Systems
Vol 18 pp 1467-1471 1998
|Rynne B P, Dickinson H||Hausdorff dimension and a generalized form of simultaneous Diophantine
|Sherratt J A||Invasive transition waves and their oscillatory wakes are linked by
a modulated phase resetting wave
Vol 117 pp 145-166 1998
|Sherratt J A||On the transition from initial data to travelling waves in the
Dynamics and Stability of Systems
Vol 13 pp 167-174 1998
|Tuttle R, Little G, Corney J R, Clark D E R||Feature recognition for NC part programming
Computers in Industry
Vol 35 pp 275-289 1998
|Details of publications available on http://www.ma.hw.ac.uk/maths/deptreps/|
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|PAPERS SUBMITTED FOR PUBLICATION IN 1998|
|Afrouzi G A, Brown K J||Positive solutions for a semilinear elliptic problem with sign-changing nonlinearity|
|Afrouzi G A, Brown K J||Unbounded principal eigenfunctions for problems on all of Rn|
|Agranovich M S, Amosov B A, Levitin M||Spectral problems for the lame system with spectral parameter in boundary conditions on smooth or non-smooth boundary|
|Baig M, Clua J, Johnston D A, Villanova R||Finite size analysis of the 3D Gonihedric Ising model with kappa=0|
|Baillie C, Johnston D A, Marinari E, Naitza C||Spin glass dynamics on thin graphs
Sakharov centenary conference
|Beevers C E, Dorner J||MathWise Basic Algebra Assessment
Published by NAG
|Beevers C E, Scott T D||SUMSMAN - Collaboration between Scottish Universities
Proc 10th Annual International Conference on Technology and Collegiate Mathematics, Chicago, USA
|Beevers C E, Youngson M A, McGuire G R, Wild D G, Fiddes D||Issues of partial credit in mathematical assessment by computer|
|Bialas P, Burda Z, Johnston D A||Phase diagram of the mean field model of simplicial gravity|
|Bogley W A, Gilbert N D, Howie J||Cockcroft properties of Thompson's group|
|Booth D, Pountney D, Brakes W, Challis N, Gretton H, Hamson M, Nicholas L E, Taylor I||Good practice in continuous assessment
UMTC97 Report 4, Conference Proceedings
|Brown K J||Curves of solutions through points of neutral stability|
|Carr J, Dunwell R M||Asymptotic behaviour of solutions to the Becker-Döring equations|
|Carr J, Dunwell R M||Kinetics of cell surface capping|
|Carr J, McLeod J B||Solitary Waves on Lattices|
|Carr J, Penrose O||Asymptotic behaviour of solutions to a simplified Lifshitz-Slyozov equation|
|Cruzeiro-Hansson L||Short timescale energy transfer in proteins
Proceedings of the conference on ``Solitons and coherent structures in Physics and Biology''
|Cruzeiro-Hansson L||Effects of Long Range and anharmonicity in the minimum energy states of the Davydov/Scott model|
|Dal Maso G, De Cicco V, Notorantonio L, Tchou N A||Limits of variational problems for Dirichlet forms in varying domains|
|Davidson FA, Rynne B P||A priori bounds and global existence of solutions of the steady state Sel'kov model|
|Davies P J, Duncan D B||On the behaviour of time discretisations of the electric field integral equation|
|Dold J W, Galaktionov V A, Lacey A A, Vazquez J L||Rate of approach to a singular steady state in quasilinear reaction-diffusion equations|
|Eilbeck J C, Enol'skii V Z, Leykin D V||On the Kleinian construction of Abelian functions of canonical
Proceedings of the 1998 SIDE III Conference
|Eilbeck J C, Zolotaryuk Y||A breather-like localised mode in a FPU lattice interacting with an electron|
|Fratzl P, Penrose O, Lebowitz J L||Modelling of phase separation in alloys with coherent elastic misfit|
|Galaktionov V A, Lacey A A||Monotonicity in time of large solutions to a nonlinear heat equation|
|Han J, Rosen D, Kim Y, Gahd R, Little G, Tuttle R, Clark D E R, Corney J R||Special panel session for feature recognition at the 1997 ASME Computers in Engineering Conference|
|Herraiz L A, Lacey A A||Macroscopic models for melting derived from averaging microscopic Stefan problems I: Simple geometries with kinetic undercooling or surface tension|
|Hong J, Kang S J, Miwa T, Weston R A||Vertex models with alternating spins
Asian Journal of Mathematics, Special 70th birthday issue for Prof. Mikio Sato
|Hong J, Kang S J, Miwa T, Weston R A||Mixing of ground states in vertex models|
|Hutcheson K A, Lacey A A||Analytic evaluations of pressure in oil reservoirs with radial multi-lateral wells|
|Johnston D A||Thin animals|
|Johnston D A||Symmetric vertex models on planar random graphs|
|Johnston D A, Plechac P.||Percolation on a Feynman diagram|
|Knops R J||Asymptotic behaviour in the incompressible elastic half-strip
Proceedings of the IX International Conference on Waves and Stability in Continuous Media, Bari
|Knops R J||On uniqueness of the multi-traction boundary value problem in nonlinear
Proceedings of the Symposium on Trends in the Application of Mathematics to Mechanics
|Ko B, Brown K J||The existence of positive solutions for a class of indefinite weight semilinear elliptic boundary value problems|
|Kuksin S B||Spectral properties of solutions for nonlinear PDEs in the turbulent regime|
|Lacey A A, Tzanetis D E, Vlamos P M||Behaviour of a non-local reactive convective problem modelling ohmic heating of foods|
|Lipowski A, Johnston D A||Glassy transition and metastability in four-spin Ising model|
|Rynne B P||Oscillating global continua of positive solutions of nonlinear elliptic problems|
|Rynne B P||Convergence of Galerkin method solutions of the integral equation for thin wire antennas|
|Rynne B P||The Hausdorff dimension of sets arising from Diophantine approximation with a general error function|
|Rynne B P||Bifurcation from zero or infinity in Sturm-Liouville problems which are not linearizable|
|Rynne B P||The well-posedness of the integral equations for thin wire antennas with distributional incident fields|
|Rynne B P||The well-posedness of the electric field integral equation for transient scattering from a perfectly conducting body|
|Rynne B P||Generic properties of the Fucik spectrum of elliptic operators|
|Rynne B P||The Fucik spectrum of general Sturm-Liouville problems|
|Rynne B P, Youngson M A||Bifurcation of positive solutions from zero or infinity in elliptic problems which are not linearizable|
|Seed G M, Clark D E R, Corney J R, Tuttle R||Object-oriented graph-based geometric feature recognition|
|Sherratt J A||Invasive wave fronts and their oscillatory wakes are linked by a modulated travelling phase resetting wave|
|Taylor G C, Eilbeck J C, Coles J A||A model dendrite including T-type Ca2+ channels that supports boosted conduction of subthreshold oscillations and is selective for frequencies in the gamma range|
Copies of the above reports or reprints can be obtained by writing to the authors or to:
The Departmental Secretary
Department of Mathematics
Telephone + 44 131 451 3221 Fax: + 44 131 451 3249
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