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Seminars
An introduction to STFC's Computational Mathematics Theme
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Europe/London
R61 CR03 (RAL)
R61 CR03 (RAL)
Description
The computational mathematics theme, part of STFC's Scientific Computing department, is home to mathematicians and software developers who develop internationally leading algorithms and associated library-quality software in the fields of numerical linear algebra, optimisation, and inverse problems. In this talk, I will give an introduction to our area, giving a brief introduction to several of the projects we are involved in, highlighting work that may be of relevance to Particle Physics.
We will walk through a range of applications, from self-driving cars, to control systems at Diamond, to nuclear fusion modelling at UKAEA, and will show how our algorithms and software are an enabling technology in each case. I will describe how we engage in STFC programmes such as the Ada Lovelace Centre and CoSeC (explaining what these are), and explain how we interact with research communities, including our work with the recently formed CCP-TEPP, a Computational Collaborative Project in Theoretical and Experimental Particle Physics.
This talk will give a flavour of the work we do in computational mathematics: where we've come from, what we're working on now, and where we're going in the future.
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Tyrone is currently Theme Lead in Computational Mathematics in STF's Scientific Computing department, where he oversees groups in Numerical Linear Algebra, Optimisation and Inverse Problems and leads a community of practice in numerical algorithms. He completed his DPhil at the University of Oxford in 2010 on Preconditioning iterative methods for PDE constrained optimisation. Prior to joining STFC, he spent two years as a postdoctoral fellow at the University of British Columbia in Vancouver, Canada.
Tyrone's research interests lie at the intersection of numerical linear algebra, the numerical solution of PDEs, and continuous optimisation. He is particularly interested in the use of iterative methods to solve large, sparse systems of equations, and the acceleration of such methods using preconditioners. As well as theoretical issues surrounding these methods he is also interested using them to efficiently solve problems from applications, with a particular interest in the systems arising in the optimal control of PDEs. Tyrone has overseen the development of the internationally renowned HSL mathematical software library since 2019. In optimisation, Tyrone is interested in the development of novel methods for solving non-linear least-squares problems, and he is the primary developer of the RALFit software, now part of AMD's AOCL Data Analytics Library.