Dr Matthew John Colbrook | Department of Applied Mathematics and Theoretical Physics

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2020 - present: Junior Research Fellow, Trinity College, University of Cambridge.
2016 - 2020: PhD student, DAMTP, CCA, University of Cambridge.
2015 - 2016: M.Math. (Part III), University of Cambridge.
2012 - 2015: B.A. Maths, University of Cambridge.

This webpage is not kept up to date. Please visit my webpage here.

Publications

On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains.

MJ Colbrook, N Flyer, B Fornberg

– J. Comput. Phys.

(2018)

374,

996

(doi: 10.1016/j.jcp.2018.08.005)

Extending the unified transform: Curvilinear polygons and variable coefficient PDEs

MJ Colbrook

– IMA Journal of Numerical Analysis

(2018)

40,

976

(doi: 10.1093/imanum/dry085)

Computing eigenvalues and eigenfunctions of the Laplacian for convex polygons

MJ Colbrook, AS Fokas

– Applied Numerical Mathematics

(2018)

126,

1

(doi: 10.1016/j.apnum.2017.12.001)

Scaling laws of passive-scalar diffusion in the interstellar medium

MJ Colbrook, X Ma, PF Hopkins, J Squire

– Monthly Notices of the Royal Astronomical Society

(2017)

467,

2421

(doi: 10.1093/mnras/stx261)

Computing Spectra -- On the Solvability Complexity Index Hierarchy and Towers of Algorithms

J Ben-Artzi, MJ Colbrook, AC Hansen, O Nevanlinna, M Seidel

(2015)

(link to publication)