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Matthew J. Colbrook
Matthew J. Colbrook
Assistant Professor, DAMTP, University of Cambridge
在 cam.ac.uk 的电子邮件经过验证 - 首页
标题
引用次数
引用次数
年份
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
1542022
How to compute spectra with error control
MJ Colbrook, B Roman, AC Hansen
Physical review letters 122 (25), 250201, 2019
852019
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
722024
Residual dynamic mode decomposition: robust and verified Koopmanism
MJ Colbrook, LJ Ayton, M Szőke
Journal of Fluid Mechanics 955, A21, 2023
632023
Computing spectral measures of self-adjoint operators
M Colbrook, A Horning, A Townsend
SIAM Review 63 (3), 489-524, 2021
602021
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
602020
The foundations of spectral computations via the solvability complexity index hierarchy
MJ Colbrook, AC Hansen
Journal of the European Mathematical Society, 2022
58*2022
The mpEDMD algorithm for data-driven computations of measure-preserving dynamical systems
MJ Colbrook
SIAM Journal on Numerical Analysis 61 (3), 1585-1608, 2023
552023
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
542017
Computing spectral measures and spectral types
MJ Colbrook
Communications in Mathematical Physics, 1-69, 2021
462021
On the computation of geometric features of spectra of linear operators on Hilbert spaces
MJ Colbrook
arXiv preprint arXiv:1908.09598, 2021
422021
On the infinite-dimensional QR algorithm
MJ Colbrook, AC Hansen
Numerische Mathematik 143, 17-83, 2019
382019
The foundations of infinite-dimensional spectral computations
M Colbrook
362020
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
332019
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
322018
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
292021
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
272019
Computing semigroups with error control
MJ Colbrook
http://www.damtp.cam.ac.uk/user/mjc249/pdfs …, 2021
252021
A hybrid analytical-numerical technique for elliptic PDEs
MJ Colbrook, TS Fokas, P Hashemzadeh
SIAM Journal on Scientific Computing 41 (2), A1066-A1090, 2019
232019
Pseudoergodic operators and periodic boundary conditions
M Colbrook
Mathematics of Computation 89 (322), 737-766, 2020
222020
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