Heriot-Watt University
 
 

DEPARTMENT OF MATHEMATICS

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

 
 
 
 
STAFF
Head of Department J Howie
Professors C E Beevers
K J Brown
J Carr
J C Eilbeck
R J Knops
S Kuksin
A A Lacey
J A Sherratt
Professor Emeritus O Penrose
Honorary Professor F M Russell
Readers  R N Hills
D A Johnston
K Khanin
B P Rynne
Senior Lecturers  D E R Clark
D B Duncan
G R McGuire
A R Prince
Lecturers C J Boulter
J Bree
B P Dodds
N D Gilbert
M Levitin
L E Nicholas
C Noble
H U Rahman
P R Turner
R A Weston
D G Wilkinson
M A Youngson
Temporary Lecturers R M Dunwell
A Lipowski
Research Fellow J L Marin
Research Associates  L Cruzeiro-Hansson
J C Dallon
D J Fiddes
L Notorantonio
D G Wild
Teaching Company Associate J Tracey
Computing Officers  M Foster
S Mowbray
Secretaries  I Fraser
P Hampton
S Meikle
F Paterson
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VISITORS TO THE DEPARTMENT

The following made long-term visits:

Bario R, Zaragoza 
Binczak S, Dijon 
Enolskii V Z, Kiev 
Metaftsis V, University of the Aegean 
Srisatkunarajah S, Jaffna 
 

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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CONFERENCES 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
 

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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 construction"
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 and turbulence"
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 elasticity"
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 NLS equation"
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 in cancer"
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 of Systems 
Member of Advisory Board of the journal Chaos 
Professor R J Knops Convener of Executive Committee of International Centre for Mathematical Sciences
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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Publications
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 coefficients
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 discoideum
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, Edinburgh
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
J. Phys.
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
Physics Letters
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 plates
Alti dei Convegni Lincei
Vol 140 pp 77-104  1998
Knops R J, Villaggio P Transverse decay of solutions in an elastic cylinder
Meccanica
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  boundary conditions
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
Mathematical Biosciences
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 healing
Journal of Theoretical Medicine
Vol 1 pp 172-192  1998
Owen M R, Sherratt  J A Mathematical modelling of juxtacrine cell signalling
Mathematical Biosciences
Vol 152 pp 125-150  1998
Owen M R, Sherratt J A Modelling the macrophage invasion of tumours: effects on growth and composition
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
Physica B
Vol 252 pp 160-166  1998
Rahman H U The splitting of the 3H4 multiplet in uranium dioxide
Molecular Physics
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
Nonlinear Analysis
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 approximation
Acta Arithmetica
1998
Sherratt J A Invasive transition waves and their oscillatory wakes are linked by a modulated phase resetting wave
Physica D
Vol 117 pp 145-166  1998
Sherratt J A On the transition from initial data  to travelling waves in the Fisher-KPP equation
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 algebraic curves
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 elastostatics
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
Heriot-Watt University
EdinburghEH14 4AS
Scotland, UK
 

Telephone + 44 131  451 3221                               Fax: + 44 131 451 3249
 

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