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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

A hybrid analytical-numerical method for solving advection-dispersion problems on a half-line
FPJ de Barros, MJ Colbrook, AS Fokas
– International Journal of Heat and Mass Transfer
(2019)
139,
482
How to Compute Spectra with Error Control.
MJ Colbrook, B Roman, AC Hansen
– Physical review letters
(2019)
122,
250201
Pseudoergodic operators and periodic boundary conditions.
MJ Colbrook
– Math. Comput.
(2019)
89,
737
25th AIAA/CEAS Aeroacoustics Conference
LJ Ayton, M Colbrook, A Fokas
– 25TH AIAA/CEAS AEROACOUSTICS CONFERENCE
(2019)
On the infinite-dimensional QR algorithm
M Colbrook, A Hansen
– CoRR
(2019)
abs/2011.08172,
1
The Unified Transform: A Spectral Collocation Method for Acoustic Scattering
LJ Ayton, M Colbrook, A Fokas
– 25th AIAA/CEAS Aeroacoustics Conference
(2019)
The unified transform for mixed boundary condition problems in unbounded domains (vol 475, 20180605, 2019)
MJ Colbrook, LJ Ayton, AS Fokas
– Proceedings. 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,
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