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Numerical Analysis Group

James H. Wilkinson at the blackboard
Professor James H. Wilkinson

The Numerical Analysis group is led by Professor Nick Higham, FRS, Professor David Silvester and Professor Françoise Tisseur and comprises eight permanent members of staff, plus research associates and research fellows. Professor Jack Dongarra holds a part-time position jointly with the School of Computer Science. The group carries out research in various areas of numerical analysis and provides teaching and supervision at the undergraduate (in all four years) and postgraduate (M.Sc. and Ph.D.) levels. Senior Lecturer Catherine Powell is the Director for PhD studies in Numerical Analysis. The group forms part of the Applied Mathematics Unit.

In 2012 the group was strengthened by the appointment of three new Lecturers: Simon Cotter, Stefan Guettel and Martin Lotz.

Activities of the group include organizing international conferences and a Numerical Analysis and Scientific Computing seminar series; writing textbooks and research monographs; membership of editorial boards of international journals and book series; and contributing software to the NAG and LAPACK libraries and MATLAB. The group has a large grant portfolio supported by bodies such as EPSRC, The European Research Council, The Royal Society, The British Council, and in the USA (though Dongarra) the NSF and DOE. Large grants include an EPSRC Leadership Fellowship (Tisseur) and an ERC Advanced grant (Higham). In addition, Higham and Silvester lead the EPSRC Network on Numerical Algorithms and High Performance Computing (2011-2014).

The strength of numerical analysis in Manchester is indicated by the fact that no less than three of our researchers, Dongarra, Hammarling and Higham, have been elected SIAM Fellows and designated Highly Cited Researchers at ISIHighlyCited.com. Members of the group also feature strongly on the list of Manchester mathematicians on Google Scholar Citations.

Numerical analysis has a long history going back at least to Newton and Gauss, whose names adorn some of today's most-used numerical methods. The UK has a strong tradition of research excellence in the subject, as exemplified by James H. Wilkinson (1919-1986), FRS, who was at the forefront of developments in numerical linear algebra from the days of the first digital computers. In Manchester, numerical analysis has long been an area of strength, and M.Sc. programmes in numerical analysis have run continuously since 1959. See the short historical essay Numerical Analysis at the Victoria University of Manchester, 1957-1979, by Joan Walsh.

Opportunities

We welcome applications to study for a PhD (apply online) or to hold a Research Fellowship in the group in any area of numerical analysis. For a list of possible PhD research topics and contact details of potential supervisors, please see Our Research. For available postdoctoral positions please see the School job vacancies page, or contact the group to hear about future possibilities. See also the page Numerical Linear Algebra Group: Opportunities.