In the Cambridge Centre for Analysis structured PhD programme, we undertake two individual projects, one short one in the Michaelmas term, and one longer one in the Lent and Easter terms. In June we decide on a supervisor and thesis topic for three years, which may or may not be based on these two projects.
Michaelmas Term 2012: "Young Measures in the Calculus of Variations", supervised by Filip Rindler.
Lent and Easter Terms 2013: "Isospectral flows, Lie-Poisson flows and their computation", supervised by Arieh Iserles.
Webb M., Computing Complex Singularities of Differential Equations with Chebfun, SIAM Undergraduate Research Online, 2013 (to appear) (preprint)
Webb M., Trefethen L.N. and Gonnet, P., Stability of Barycentric Interpolation Formulas for Extrapolation, SIAM Journal of Scientific Computing (SISC), 2012 (pdf)
CCA Mini Project Report, supervised by Filip Rindler: "Classical Young Measures in the Calculus of Variations" (draft pdf)
Oxford Master's Thesis, supervised by Endre Suli and David Kay: "Analysis and Approximation of a Fractional Differential Equation" (pdf)
My DAMTP profile
My CCA profile
Cambridge Centre for Analysis
Chebfun
Email: m.d.webb at maths.cam.ac.uk
Office: F0.01
Address:
Cambridge Centre for Analysis, Wilberforce Road, Cambridge CB3 0WA