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CARMA Special Semester

Special Semester on Mathematical Thinking

Monday, 5th Nov 2018 — Friday, 31st May 2019

The next CARMA special semester programme is on the theme of Mathematical Thinking, examining the conceptual and neurological basis of mathematical thought and creativity, different aspects of which are associated with brain structures evolved for different purposes. It will explore links to machine learning, which plays a critical role as a model for cognition, as well as cognitive psychology, neuroscience, philosophy and pure and applied mathematics, through a series of workshops and other events. Please visit the semester's webpage for details. Events will also be listed on the events page of the CARMA website.

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Study Leave Seminar

10:00 am

Thursday, 24th Jan 2019

SR192, SR Building

Dr Björn Rüffer

(CARMA, The University of Newcastle)

Nonlinear Stability Analysis to Douglas-Rachford

During my study leave in 2018 I have applied nonlinear stability analysis techniques to the Douglas-Rachford Algorithm, with the aim of shedding light on the interesting non-convex case, where convergence is often observed but seldom proven. The Douglas-Rachford Algorithm can solve optimisation and feasibility problems, provably converges weakly to solutions in the convex case, and constitutes a practical heuristic in non-convex cases. Lyapunov functions are stability certificates for difference inclusions in nonlinear stability analysis. Some other recent nonlinear stability results are showcased as well.

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CARMA Seminar

2:00 pm

Friday, 8th Feb 2019

(Location to be decided)

Dr Robert Smith?

(The University of Ottawa)

When zombies attack! Mathematical modelling of an outbreak of zombie infection

Zombies are a popular figure in pop culture/entertainment and they are usually portrayed as being brought about through an outbreak or epidemic. Consequently, we model a zombie attack, using biological assumptions based on popular zombie movies. We introduce a basic model for zombie infection, determine equilibria and their stability, and illustrate the outcome with numerical solutions. We then refine the model to introduce a latent period of zombification, whereby humans are infected, but not infectious, before becoming undead. We then modify the model to include the effects of possible quarantine or a cure. Finally, we examine the impact of regular, impulsive reductions in the number of zombies and derive conditions under which eradication can occur. We show that only quick, aggressive attacks can stave off the doomsday scenario: the collapse of society as zombies overtake us all.

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CARMA Workshop

International Workshop on Water Waves and Floating Bodies

Sunday, 7th Apr 2019 — Wednesday, 10th Apr 2019

Noah's On the Beach [Newcastle, NSW]

The 34th International Workshop on Water Waves and Floating Bodies (IWWWFB) will be held in Newcastle in 2019. Please visit the workshop website for more information.

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