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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

Another look at Residual Dynamic Mode Decomposition in the regime of fewer Snapshots than Dictionary Size
MJ Colbrook
(2024)
Beyond expectations: residual dynamic mode decomposition and variance for stochastic dynamical systems
MJ Colbrook, Q Li, RV Raut, A Townsend
– Nonlinear Dynamics
(2023)
112,
2037
The Multiverse of Dynamic Mode Decomposition Algorithms
MJ Colbrook
(2023)
Beyond expectations: Residual Dynamic Mode Decomposition and Variance for Stochastic Dynamical Systems
MJ Colbrook, Q Li, RV Raut, A Townsend
(2023)
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems
MJ Colbrook
– SIAM Journal on Numerical Analysis
(2023)
61,
1585
Avoiding discretization issues for nonlinear eigenvalue problems
MJ Colbrook, A Townsend
(2023)
Residual Dynamic Mode Decomposition: Robust and verified Koopmanism.
MJ Colbrook, LJ Ayton, M Szoke
– Journal of Fluid Mechanics
(2023)
abs/2205.09779,
a21
Restarts subject to approximate sharpness: A parameter-free and optimal scheme for first-order methods
B Adcock, MJ Colbrook, M Neyra-Nesterenko
(2023)
WARPd: A Linearly Convergent First-Order Primal-Dual Algorithm for Inverse Problems with Approximate Sharpness Conditions*
MJ Colbrook
– CoRR
(2022)
abs/2110.12437,
1539
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems
MJ Colbrook
(2022)
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