Abstracts of Miscellaneous Publications


  1. Graeme Wake and Mark Nelson. Preface to ``Mathematical Modelling of Nonlinear Systems: A Tribute to Professor John Brindley''. Mathematical and Computer Modelling, 36(3), page xiii, 2002.
  2. Graeme Wake and Mark Nelson. Forward. A Tribute to Professor John Brindley Large Research Professor, University of Leeds, U.K. Mathematical and Computer Modelling, 36(3), page xv-xvi, 2002.
  3. M.I. Nelson. NSW ANZIAM 2003 Branch Meeting. The Australian Mathematical Society Gazette, 31(1): 63, 2004.
  4. M.I. Nelson and B.R. Young. Editorial: Special Issue Contributed from CHEMECA 2006 - Australasian Process Modelling and Control Selected Papers. (2007) Chemical Product and Process Modelling, 2, Issue 2, Article 1. Available at http://www.bepress.com/cppm/vol2/iss2/1.
  5. M.I. Nelson, B. Young and H.S. Sidhu. Editorial: Special Issue Contributed from CHEMECA 2008 - Mathematical Modeling. Chemical Product and Process Modelling, 4, Issue 3, Article 1, 2009. Available at http://www.bepress.com/cppm/vol3/iss3/1.
  6. M.I. Nelson. (2008) ACT/NSW ANZIAM meeting. The Australian Mathematical Society Gazette, 36(1), 28-29, 2009, The Australian Mathematical Society.
  7. Andrew Metcalfe, Phil Howlett, Mark Nelson and Anthony Roberts. Preface to the Proceedings of the EMAC 2009. ANZIAM Journal, 51(0), 2009. http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/2909 .
  8. G. Cox and M.I. Nelson. Report on NSW ANZIAM 2009. The Australian Mathematical Society Gazette, 31(1), 63, 2010, The Australian Mathematical Society.
  9. N. Thamwattana and M.I. Nelson. Report on the 2010 NSW ANZIAM meeting. The Australian Mathematical Society Gazette, 38(5), 269-270, 2010, The Australian Mathematical Society.
  10. Mark Nelson, Anthony Roberts, Mary Coupland, Tara Hamilton and Harvinder Sidhu. Preface to the Proceedings of the Engineering Mathematics and Applications Conference. ANZIAM Journal, 53(0), 2012. http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/5172 .
  11. P. Broadbridge M. Nelson, and J. Wang. Editorial: Mathematical methods for applications. The ANZIAM Journal, 58(3-4): 209-210, 2017. doi: 10.1017/S1446181117000086.
  12. Mark I. Nelson and Rodney O. Weber. Editorial: Special issue celebrating the achievements of Professor G.C. Wake. The ANZIAM Journal, 62(4): 353-354, 2020. doi: 10.1017/S1446181121000067.


Preface to ``Mathematical Modelling of Nonlinear Systems: A Tribute to Professor John Brindley''

Preface

These papers are substantially those submitted and accepted for publication after the symposium held at the University of Leeds, U.K. in September 1999 on the theme ``Modelling of Nonlinear Systems'' - the same title as this special issue. In some exceptional cases, papers in synergy with the theme were accepted which were not actually presented in the symposium. The focus of the symposium occasion was to note the ongoing contributions to the subject of Nonlinear Systems by Professor John Brindley of the University of Leeds at the time of his then-recent retirement. We are grateful to the editors of Mathematical and Computer Modelling for their invitation and agreement to publish this Special Issue.

Graeme Wake and Mark Nelson. Preface to ``Mathematical Modelling of Nonlinear Systems: A Tribute to Professor John Brindley''. Mathematical and Computer Modelling, 36(3), page xiii, 2002.


Forward. A Tribute to Professor John Brindley Large Research Professor, University of Leeds, U.K.

Forward

This special issue of Mathematical and Computer Modelling mostly contains a selection of papers that were presented at a conference on ``Mathematical Modelling of Nonlinear Systems'' held at the University of Leeds, September 20-21, 1999. This conference celebrated John's contributions to applied mathematics following his retirement from the School of Mathematics and attracted a large number of his coworkers, from both the U.K. and abroad. We had originally invited Professor David Crighton, another doyen of Applied Mathematics, to write this tribute but his untimely death in April 2000 prevented him from doing so. In an acceptance letter to us of November 3, 1999, Professor Crighton says ``I was sorry to miss this [the meeting]- and have heard nothing but good opinions of it.... Thank you for the invitation to contribute in some way to the special volume for John. I will be happy to [do this]. As I write I have John's CV in front of me to remind me of the great range of science that has attracted his attention and of the great range of other academic tasks he has taken on over the years and, indeed, still continues to take on.''

John Brindley's research contributions cover much of the ever-increasing stage on which applied mathematicians operate today: fluid mechanics , geophysics, combustion theory, reacting flows, plankton dynamics, fish populations, etc. The common methodology is that of nonlinear systems theory, the theme of the 1999 conference.

It is often stated that ``mathematicians are not extroverts''. John Brindley is a counter-example to this. Words to fit him are not hard to find: initiator, facilitator, encourager, helper, friend, etc. During his career he has shown an enormous capacity to lead research, transmit ideas, and to inspire others -- especially students -- through his energy and warmth of character. John is renowned for his interactions between groups. He has travelled the world making contacts, conducting research, and speaking about it. All with an outcome of A+. Rarely can you find a centre where John has not been and is not well known.

We look forward to John's continuing contributions and take pride in the appearance of this tribute. We warmly thank all the contributors for their forbearance and patience and Julian Visch of the University of Canterbury for his help with the technical production of the contents.

Finally, we thank the editors of Mathematical and Computer Modelling for their invitation to prepare this volume and their publication of it.

Graeme Wake and Mark Nelson. Forward. A Tribute to Professor John Brindley Large Research Professor, University of Leeds, U.K. Mathematical and Computer Modelling, 36(3), page xv-xvi, 2002.


NSW ANZIAM 2003 Branch Meeting

M.I. Nelson. NSW ANZIAM 2003 Branch Meeting. The Australian Mathematical Society Gazette, 31(1): 63, 2004.


Editorial: Special Issue Contributed from CHEMECA 2006 - Australasian Process Modelling and Control Selected Papers

Abstract

The papers in this issue of Chemical Product and Process Modelling are substantially those that arose from special sessions on "process simulation and control" (organised by Brent R. Young) and "mathematical modelling" (organised by Mark I. Nelson) at the 34th Australasian Chemical Engineering Conference (held between 17th-20th September 2006, in Auckland, New Zealand). The papers in this special are available at: http://www.bepress.com/cppm/vol2/iss2. The papers featured in this issue have been revised and extended from CHEMECA and re-reviewed before publication here.

All the papers in this issue use mathematics. However, this special issue only features a small number of the presentations at CHEMECA that use mathematics. Mathematics finds many practical applications within chemical engineering and consequently presentations involving mathematics were featured in many special sessions throughout CHEMECA. Some of these presentations will appear in special issues elsewhere. In particular, the papers from every session that were nominated for the John Brodie award are appearing in a special issue of the Asian-Pacific Journal of Chemical Engineering.

M.I. Nelson and B.R. Young. Editorial: Special Issue Contributed from CHEMECA 2006 - Australasian Process Modelling and Control Selected Papers. (2007) Chemical Product and Process Modelling, 2, Issue 2, Article 1. Available at http://www.bepress.com/cppm/vol2/iss2/1.


Editorial: Special Issue Contributed from CHEMECA 2008 - Mathematical Modeling

Abstract

The papers in this issue of Chemical Product and Process Modeling are substantially those that arose from special sessions on ``mathematical modeling'' at the 36th Australasian Chemical Engineering Conference (held between 28th September to 1st October 2008, in Newcastle, Australia). The papers in this special issue are available at: www.bepress.com/cppm/vol4/iss3.

M.I. Nelson, B. Young and H.S. Sidhu. Editorial: Special Issue Contributed from CHEMECA 2008 - Mathematical Modeling. Chemical Product and Process Modelling, 4, Issue 3, Article 1, 2009. Available at http://www.bepress.com/cppm/vol3/iss3/1.


(2008) ACT/NSW ANZIAM meeting

M.I. Nelson. (2008) ACT/NSW ANZIAM meeting. The Australian Mathematical Society Gazette, 36(1), 28-29, 2009, The Australian Mathematical Society.


Preface to the Proceedings of the EMAC 2009

Abstract

This Special Section of the ANZIAM Journal (Electronic Supplement) contains the refereed papers from the 9th Biennial Engineering Mathematics and Applications Conference (EMAC2009) held at the University of Adelaide in December 2009. The EMAC series of conferences is held under the auspices of the Engineering Mathematics Group (EMG) (a special interest group of the Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) division of the Australian Mathematics Society. The meeting provides a forum for researchers interested in the development and use of mathematical methods in engineering and applied mathematics. A further theme of the conference is the mathematical education of applied mathematicians and engineers.

Andrew Metcalfe, Phil Howlett, Mark Nelson and Anthony Roberts. Preface to the Proceedings of the EMAC 2009. ANZIAM Journal, 51(0), 2009. http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/2909 .


Report on NSW ANZIAM 2009

G. Cox and M.I. Nelson. Report on NSW ANZIAM 2009. The Australian Mathematical Society Gazette, 31(1), 63, 2010, The Australian Mathematical Society.


Report on the 2010 NSW ANZIAM meeting

N. Thamwattana and M.I. Nelson. Report on the 2010 NSW ANZIAM meeting. The Australian Mathematical Society Gazette, 38(5), 269-270, 2010, The Australian Mathematical Society.


Preface to the Proceedings of the Engineering Mathematics and Applications Conference

Abstract

This Special Section of the ANZIAM Journal (Electronic Supplement) contains the refereed papers from the 10th Biennial Engineering Mathematics and Applications Conference (EMAC2011) held at University Technology Sydney in December 2011. The EMAC series of conferences is held under the auspices of the Engineering Mathematics Group (EMG)---a special interest group of the Australian and New Zealand Industrial and Applied Mathematics division of the Australian Mathematics Society. The meeting provides a forum for researchers interested in the development and use of mathematical methods in engineering and applied mathematics. A further theme of the conference is the mathematical education of applied mathematicians and engineers

Mark Nelson, Anthony Roberts, Mary Coupland, Tara Hamilton and Harvinder Sidhu. Preface to the Proceedings of the Engineering Mathematics and Applications Conference. ANZIAM Journal, 53(0), 2012. http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/5172


Editorial: Mathematical methods for applications

Abstract

This special issue is associated with the conference “Mathematical Methods for Applications”, which was jointly hosted in the city of Hangzhou by ANZIAM and the Zhejiang Provincial Applied Mathematics Society on 11th–14th November 2016, in collaboration with the Society for Industrial and Applied Mathematics. We are grateful for the sponsorship from ANZIAM, ZPAMS, the Australian Mathematical Sciences Institute, Zhejiang University of Science and Technology, China Jiliang University and La Trobe University. In particular, Professor Jueliang Hu from Zhejiang University of Science and Technology, and Professor Feilong Cao from China Jiliang University, arranged for considerable local support.

All of the papers have at least one joint author of East Asian origin, so this large special issue should help to raise the profile of the ANZIAM Journal in the largest continent. We are very pleased with the response from our Chinese colleagues to the call for submissions. The subjects of the papers are telling. Mathematics departments in many prominent Chinese universities include a section on machine learning, a subject that is found mainly in electrical engineering departments, and sometimes in computer science departments in Australia. A number of papers in this special issue make some reference to that topic, using neural nets and fuzzy control. Another common topic was stochastic processes, whose presence is also growing in Australian and New Zealand universities.

We have grouped the papers according to possible areas of application. The groups are labelled as: “Techniques related to signal analysis and machine learning” (8 papers), “Techniques related to graphs and networks” (7 papers), “Techniques related to Finance and Economics” (6 papers), “Techniques related to mechanics” (5 papers) and “Techniques related to biology and ecology” (4 papers). We hope that as well as gaining insight on some trends in East Asian mathematics, readers will find some of the individual papers to be stimulating.

Finally we are grateful to the voluntary reviewers, and regular editorial and administrative staff of the ANZIAM Journal, who helped in the production of this special issue.

P. Broadbridge M. Nelson, and J. Wang. Editorial: Mathematical methods for applications. The ANZIAM Journal, 58(3-4): 209-210, 2017. doi: 10.1017/S1446181117000086.


Editorial: Special issue celebrating the achievements of Professor G.C. Wake

Abstract

This special issue of the ANZIAM Journal celebrates the contributions to applied mathematics of Professor G. C. Wake. Graeme has made significant research contributions to applied mathematics in the areas of agriculture, combustion, mathematical biology and industrial mathematics. Graeme was introduced to research as a summer intern in November 1963 when he worked in Ian Walker’s group in the Chemistry Division of the Department of Scientific and Industrial Research, New Zealand. This work, in combustion theory, matured into his PhD thesis. A significant step in Graeme’s development as an applied mathematician was the time he spent as a postdoctoral scholar at Brasenose College Oxford (August 1970–1971). It was during this period that Graeme was put in contact with Dr Alan Tayler and Dr John Ockendon. This led him to attend his first mathematics-in-industry workshop in 1971. Since then he has been an enthusiastic supporter of such workshops, attending them regularly in Australia, Malaysia, New Zealand, the UK, and the USA. He has been involved in setting up such workshops in Brunei, Malaysia, New Zealand, Singapore, South Korea, and Thailand.

His many honours include the aforementioned postdoctoral fellowship at the University of Oxford (1970–1971), EPSRC research fellow positions in the UK (1976–1977, 1990), a Fulbright senior scholarship in the USA (1994) and a visiting fellowship at All Souls College Oxford (2001–2002). His pre-eminence as an applied mathematician on the world stage was recognised by his appointment to the editorial board of Proceedings of the Royal Society A (2009–2014).

At a local level he has been made both a fellow of the New Zealand Mathematical Society (1999) and a fellow of the Royal Society of New Zealand (2004). He was awarded the Marsden Medal by the New Zealand Association of Scientists for his contributions to mathematics and its applications (2001–2002). He was awarded the ANZIAM medal in 2006.

This special issue celebrates not only Graeme’s pre-eminence as a researcher, but also his strong support of ANZIAM over several years. It contains papers from a small selection of the many areas in which he has worked over his long career. The width of topics covered provides a very good insight to the many diverse areas in which Graeme has applied his great talent for mathematical thinking.

The events of 2020 have cast a long shadow over this special issue, with some contributors having to withdraw and longer than expected delays in going to press. We thank the contributors for their forbearance. We would particularly like to acknowledge our debt to Nandita Rath and to thank her for her encouragement, patience, and fortitude during the extended period over which this special issue was prepared.

We end our introduction by noting that when we are confronted with a problem, a puzzle, or even just a question, we all instinctively begin to analyse it using whatever methods or tools with which we are most familiar. Graeme has many tools in his mathematical toolkit that he is able to pull out and apply. But his greatest set of tools is his friendly and outgoing personality, his ability to make people feel at ease, and the genuine interest he shows in all he meets.

Mark I. Nelson and Rodney O. Weber. Editorial: Special issue celebrating the achievements of Professor G.C. Wake. The ANZIAM Journal, 62(4): 353-354, 2020. doi: 10.1017/S1446181121000067.



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