Michael R. Scott
Email : michael.r.scott <at> warwick.ac.uk
CV: On request.
Research Interests : Analysis of PDEs, Stochastic Analysis, Stochastic Partial Differential Equations, Quantitative Finance and Financial Modelling
PhD overview: Working with Martin Hairer, we considered the quantitative and qualitative properties of the solution to the heat equation on an evolving curve and surface, which formed a singularity at finite time. You can find the final copy of my PhD thesis here.
MSc Dissertation : Working with Martin Hairer and Charles Elliott, my MSc dissertation was on Stochastic Partial Differential Equations on Evolving Riemannian Manifolds. You can find an edited copy here.
Research Study Group : Working with Andrew Stuart the research study group of Charles Brett, Andrew Lam, Dave McCormick and myself we looked into data assimilation of 2D Navier - Stokes equations with toroidal boundary conditions. The report is included here: rsg-da-report-final.pdf
Stochastic Partial Differential Equations on Evolving Surfaces and Evolving Riemannian Manifolds. C.M. Elliott, M. Hairer, M.R. Scott. arxiv:1208.5958
Stability of Filters for the Navier-Stokes Equation. C.E.A. Brett, K. F. Lam, K.J.H. Law, D. S. McCormick, M.R. Scott, A.M. Stuart. arXiv:1110.2527
Accuracy and stability of filters for dissipative PDEs. C.E.A. Brett, K. F. Lam, K.J.H. Law, D. S. McCormick, M.R. Scott, A.M. Stuart. Physica D 245 (2013) 34-45.