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Department of Applied Mathematics and Theoretical Physics

  • 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 infinite-dimensional QR algorithm
M Colbrook, A Hansen
– Numerische Mathematik
(2019)
143,
17
The unified transform for mixed boundary condition problems in unbounded domains (vol 475, 20180605, 2019)
MJ Colbrook, LJ Ayton, AS Fokas
– Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
(2019)
475,
20190201
A hybrid analytical-numerical technique for elliptic PDEs
MJ Colbrook, TS Fokas, P Hashemzadeh
– SIAM J. Sci. Comput.
(2019)
41,
A1066
The unified transform for mixed boundary condition problems in unbounded domains
MJ Colbrook, LJ Ayton, AS Fokas
– Proceedings of the Royal Society A
(2019)
475,
20180605
Computing Spectral Measures and Spectral Types: New Algorithms and Classifications.
MJ Colbrook
– CoRR
(2019)
abs/1908.06721,
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
Extending the unified transform: Curvilinear polygons and variable coefficient PDEs
MJ Colbrook
– IMA Journal of Numerical Analysis
(2018)
40,
976
Computing eigenvalues and eigenfunctions of the Laplacian for convex polygons
MJ Colbrook, AS Fokas
– Applied Numerical Mathematics
(2018)
126,
1
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
Computing Spectra -- On the Solvability Complexity Index Hierarchy and Towers of Algorithms
J Ben-Artzi, MJ Colbrook, AC Hansen, O Nevanlinna, M Seidel
(2015)
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