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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 computation of geometric features of spectra of linear operators on Hilbert spaces
MJ Colbrook
(2019)
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
– Phys Rev Lett
(2019)
122,
250201
Pseudoergodic operators and periodic boundary conditions.
MJ Colbrook
– Math. Comput.
(2019)
89,
737
The unified transform: A spectral collocation method for acoustic scattering
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)
Correction to 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,
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. Mathematical, physical, and engineering sciences
(2019)
475,
20180605
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