Professor Mike Giles

Professor Mike Giles

Professor Mike Giles

  • Professor of Scientific Computing
  • Oxford-Man Institute of Quantitative Finance
  • Associate Director, Oxford e-Research Centre
  • Professorial Fellow, St Hugh's College

Personal Web Page

eMail: Mike [dot] Giles [-at-] maths [dot] ox [dot] ac [dot] uk
Contact Form

Phone Number(s):

Reception: +44 1865 273525
Direct: +44 1865 616618

Office: S1.42

Departmental Address:

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
United Kingdom

Research Interests: 

I am Professor of Scientific Computing, a member of the Oxford-Man Institute of Quantitative Finance, and Associate Director of the Oxford e-Research Centre. I used to work at MIT and in the Oxford University Computing Laboratory on computational fluid dynamics applied to the analysis and design of gas turbines, but more recently I have moved into computational finance and research on Monte Carlo methods for a variety of applications.

My research focus is on improving the accuracy, efficiency and analysis of Monte Carlo methods. A particular highlight has been the development of a new multilevel Monte Carlo method which has stimulated a lot of research elsewhere.

I am also interested in various aspects of scientific computing, including high performance parallel computing, and in the last few years I have been working on the exploitation of graphics cards for a variety of financial, scientific and engineering applications.

For more details please see my webpage.

Major/Recent Publications: 

M.B. Giles and P. Glasserman. `Smoking adjoints: fast Monte Carlo Greeks''. Risk, 2006.

M.B. Giles.  'Multilevel Monte Carlo path simulation'.  Operations Research 56(3):607-617, 2008.

M.B. Giles. `Improved multilevel Monte Carlo convergence using the Milstein scheme', pp.343-358 in Monte Carlo and Quasi-Monte Carlo Methods 2006, Springer, 2008.

M.B. Giles, D.J. Higham and X. Mao. 'Analysing multilevel Monte Carlo for options with non-globally Lipschitz payoff'. Finance and Stochastics, 13(3):403-413, 2009.

M.B. Giles and S. Ulbrich. 'Convergence of linearized and adjoint approximations for discontinuous solutions of conservation laws.  Part 1: linearized approximations and linearized output functionals. Part 2: adjoint approximations and extensions. SIAM Journal of Numerical Analysis, 48(3):882-921, 2010

K.A. Cliffe, M.B. Giles, R. Scheichl, A.L. Teckentrup, 'Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients', Computing and Visualization in Science, 14(1):3-15, 2011.

M.B. Giles, C. Reisinger. 'Stochastic finite differences and multilevel Monte Carlo for a class of SPDEs in finance', SIAM Journal of Financial Mathematics, 3(1):572-592, 2012.

M.B. Giles, L. Szpruch. 'Antithetic multilevel Monte Carlo estimation for multi-dimensional SDEs without Lévy area simulation', to appear in Annals of Applied Probability, 2014