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30 November 2021 | Story Leonie Bolleurs | Photo Supplied
Prof Johan Meyer, Senior Professor in the Department of Mathematics and Applied Mathematics, says he is looking forward to learning from others in the field during this collaboration.

What do trees, black holes, earthquakes, and time structures have in common? 

The answer to this question is that these, in one way or the other, form the focus of some of the abstracts delivered during the Annual Congress of the South African Mathematical Society. The society has as its main objective the advancement of mathematics in South Africa. 

The Department of Mathematics and Applied Mathematics at the University of the Free State (UFS), in conjunction with the South African Mathematical Society (SAMS 2021), is hosting the 64th Annual Congress of the society this week (29 November to 1 December 2021).

Prof Johan Meyer, Senior Professor in the department, says the congress, which is being conducted online, is focusing on all aspects of mathematics research, including history and teaching.

Learning from others in the field

The congress, which aims to share the latest research results in mathematics, will be attended by staff and students from universities across South Africa as well as abroad. “Anyone from the public is, of course, welcome to attend or even share their results if they are also involved in mathematics research,” adds Prof Meyer. 

He says that he is looking forward to learning from others in the field during this collaboration. 

The congress will include discussions on more than 120 abstracts, covering category theory, algebra, topology, logic; functional analysis and operator theory; finite groups and combinatorial structures; graph theory and combinatorics; lie symmetries and nonlinear differential equations; and applied and numerical mathematics.

Array of interesting topics presented

“It is important in many areas of science and engineering to predict and to simulate rare, random events, the occurrence of which may have negative or even catastrophic consequences. Examples include internet server overflows, mechanical breakdowns, floods, and financial crashes. Rare events can also have a positive effect, triggering for example chemical reactions or driving genetic evolution via random mutations.” Prof Hugo Touchette from Stellenbosch University will be shedding some light on this interesting topic in his presentation on Predicting and simulating rare events.

Prof Jeandrew Brink, Associate Professor in the Department of Mathematics and Applied Mathematics at the UFS, is presenting a plenary session on the topic Determining the geometry of strong field space-times in spite of tacitly assuming the answer during every measurement. In South Africa, state-of-the art pulsar timing data from the MeerKAT telescope will make a considerable contribution to conducting GR orbital tests. Prof Brink comments on how pulsar timing tests differ from tests using gravitational wave detectors, as well as what we can learn from the framework already employed to perform pulsar timing measurements.

News Archive

New publication on groundwater remediation soon to be introduced
2017-05-05

Description: Prof Abdon Atangana groundwater remediation Tags: Prof Abdon Atangana groundwater remediation

A new book from Prof Abdon Atangana from
the UFS Institute for Groundwater Studies
proposes new techniques for groundwater
remediation, including guidelines on how chemical
companies can be positioned in any city to avoid
groundwater pollution.
Photo: Pixabay

A new publication, Fractional Operators with Constant and Variable Order with Application to Geo-Hydrology, will be published later this year, on 1 November 2017. The author, Prof Abdon Atangana, from the Institute of Groundwater Studies at the University of the Free State, said the book proposes new techniques for groundwater remediation, including guidelines on how chemical companies can be positioned in any city to avoid groundwater pollution.

Focus of the book
Prof Atangana said researchers and practitioners interested in groundwater modelling and remediation from applied mathematical and geo-hydrology backgrounds, will benefit from reading this book.

According to Elsevier, the book provides a physical review of fractional operators, fractional variable order operators, and uncertain derivatives to groundwater flow and environmental remediation. It presents a formal set of mathematical equations for the description of groundwater flow and pollution problems using the concept of non-integer order derivative. Both advantages and disadvantages of models with fractional operators are discussed.

“Researchers and practitioners
interested in groundwater modelling
and remediation from applied
mathematician and geo-hydrology
backgrounds, will benefit from
reading this book.”

About the author
Prof Atangana specialises in applied mathematics, groundwater modelling, fractional calculus and their applications, methods for partial differential equations, methods for ordinary differential equations, iterations methods, asymptotic methods, perturbations methods, and numerical method for fractional differential equations, uncertainties analysis. He has participated in 18 international conferences, organised six special sections and symposiums in international conference in Europe, Africa, Asia and USA, and has been invited as plenary speaker in eight international conferences. He also serves as editor on 20 international journal of mathematics and applied mathematics and editor-in-chief of two international journals of applied mathematics.

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