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Matthew J. Colbrook
Matthew J. Colbrook
Assistant Professor, DAMTP, University of Cambridge
Verified email at cam.ac.uk - Homepage
Title
Cited by
Cited by
Year
The difficulty of computing stable and accurate neural networks: On the barriers of deep learning and Smale’s 18th problem
MJ Colbrook, V Antun, AC Hansen
Proceedings of the National Academy of Sciences 119 (12), e2107151119, 2022
1292022
How to compute spectra with error control
MJ Colbrook, B Roman, AC Hansen
Physical review letters 122 (25), 250201, 2019
792019
Rigorous data‐driven computation of spectral properties of Koopman operators for dynamical systems
MJ Colbrook, A Townsend
Communications on Pure and Applied Mathematics 77 (1), 221-283, 2024
542024
Computing Spectra--On the Solvability Complexity Index Hierarchy and Towers of Algorithms
J Ben-Artzi, MJ Colbrook, AC Hansen, O Nevanlinna, M Seidel
arXiv preprint arXiv:1508.03280, 2020
54*2020
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 467 (2), 2421-2429, 2017
522017
The foundations of spectral computations via the solvability complexity index hierarchy
MJ Colbrook, AC Hansen
Journal of the European Mathematical Society, 2022
49*2022
Computing spectral measures of self-adjoint operators
M Colbrook, A Horning, A Townsend
SIAM Review 63 (3), 489-524, 2021
492021
Residual dynamic mode decomposition: robust and verified Koopmanism
MJ Colbrook, LJ Ayton, M Szőke
Journal of Fluid Mechanics 955, A21, 2023
482023
The mpEDMD algorithm for data-driven computations of measure-preserving dynamical systems
MJ Colbrook
SIAM Journal on Numerical Analysis 61 (3), 1585-1608, 2023
392023
Computing spectral measures and spectral types
MJ Colbrook
Communications in Mathematical Physics, 1-69, 2021
372021
On the computation of geometric features of spectra of linear operators on Hilbert spaces
MJ Colbrook
arXiv preprint arXiv:1908.09598, 2021
342021
On the infinite-dimensional QR algorithm
MJ Colbrook, AC Hansen
Numerische Mathematik 143, 17-83, 2019
322019
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 139, 482-491, 2019
322019
On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains
MJ Colbrook, N Flyer, B Fornberg
Journal of Computational Physics 374, 996-1016, 2018
302018
The foundations of infinite-dimensional spectral computations
M Colbrook
292020
Reducing aerofoil–turbulence interaction noise through chordwise-varying porosity
LJ Ayton, MJ Colbrook, TF Geyer, P Chaitanya, E Sarradj
Journal of Fluid Mechanics 906, A1, 2021
282021
The unified transform for mixed boundary condition problems in unbounded domains
MJ Colbrook, LJ Ayton, AS Fokas
Proceedings of the Royal Society A 475 (2222), 20180605, 2019
262019
Computing semigroups with error control
MJ Colbrook
http://www.damtp.cam.ac.uk/user/mjc249/pdfs …, 2021
232021
Pseudoergodic operators and periodic boundary conditions
M Colbrook
Mathematics of Computation 89 (322), 737-766, 2020
222020
A hybrid analytical-numerical technique for elliptic PDEs
MJ Colbrook, TS Fokas, P Hashemzadeh
SIAM Journal on Scientific Computing 41 (2), A1066-A1090, 2019
212019
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