We carry out research in various areas of numerical analysis and provide teaching and supervision at both undergraduate and postgraduate (MSc and PhD) level. We form part of the Applied Mathematics Unit.
Activities include organising 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. We have 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 (Nick Higham). In addition, Nick Higham and David 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 our MSc programmes have run continuously since 1959. See the short historical essay Numerical Analysis at the Victoria University of Manchester, 1957–1979 , by Joan Walsh.
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. Opportunities in the Numerical Linear Algebra group are listed on their section of this website.