Michael R. Scott
Michael R. Scott
Email : michael.r.scott <at> warwick.ac.uk
CV: On request.
LinkedIn: .
Research Interests : Analysis of PDEs, Stochastic Analysis, Stochastic Partial Differential Equations, Quantitative Finance and Financial Modelling
PhD overview: Working with , 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 .
MSc Dissertation : Working with and , my MSc dissertation was on Stochastic Partial Differential Equations on Evolving Riemannian Manifolds. You can find an edited copy .
Research Study Group : Working with 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
Publications:
Stochastic Partial Differential Equations on Evolving Surfaces and Evolving Riemannian Manifolds. C.M. Elliott, M. Hairer, M.R. Scott.
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.
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.