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 | 154 | 2022 |
How to compute spectra with error control MJ Colbrook, B Roman, AC Hansen Physical review letters 122 (25), 250201, 2019 | 85 | 2019 |
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 | 72 | 2024 |
Residual dynamic mode decomposition: robust and verified Koopmanism MJ Colbrook, LJ Ayton, M Szőke Journal of Fluid Mechanics 955, A21, 2023 | 63 | 2023 |
Computing spectral measures of self-adjoint operators M Colbrook, A Horning, A Townsend SIAM Review 63 (3), 489-524, 2021 | 60 | 2021 |
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 | 60 | 2020 |
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 | 55 | 2023 |
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 | 54 | 2017 |
Computing spectral measures and spectral types MJ Colbrook Communications in Mathematical Physics, 1-69, 2021 | 46 | 2021 |
On the computation of geometric features of spectra of linear operators on Hilbert spaces MJ Colbrook arXiv preprint arXiv:1908.09598, 2021 | 42 | 2021 |
On the infinite-dimensional QR algorithm MJ Colbrook, AC Hansen Numerische Mathematik 143, 17-83, 2019 | 38 | 2019 |
The foundations of infinite-dimensional spectral computations M Colbrook | 36 | 2020 |
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 | 33 | 2019 |
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 | 32 | 2018 |
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 | 29 | 2021 |
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 | 27 | 2019 |
Computing semigroups with error control MJ Colbrook http://www.damtp.cam.ac.uk/user/mjc249/pdfs …, 2021 | 25 | 2021 |
A hybrid analytical-numerical technique for elliptic PDEs MJ Colbrook, TS Fokas, P Hashemzadeh SIAM Journal on Scientific Computing 41 (2), A1066-A1090, 2019 | 23 | 2019 |
Pseudoergodic operators and periodic boundary conditions M Colbrook Mathematics of Computation 89 (322), 737-766, 2020 | 22 | 2020 |