Theo dõi
Matthew J. Colbrook
Matthew J. Colbrook
Assistant Professor, DAMTP, University of Cambridge
Email được xác minh tại cam.ac.uk - Trang chủ
Tiêu đề
Trích dẫn bởi
Trích dẫn bởi
Năm
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
1862022
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
1022024
How to compute spectra with error control
MJ Colbrook, B Roman, AC Hansen
Physical review letters 122 (25), 250201, 2019
952019
Residual dynamic mode decomposition: robust and verified Koopmanism
MJ Colbrook, LJ Ayton, M Szőke
Journal of Fluid Mechanics 955, A21, 2023
842023
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
742020
Computing spectral measures of self-adjoint operators
M Colbrook, A Horning, A Townsend
SIAM Review 63 (3), 489-524, 2021
722021
The mpEDMD algorithm for data-driven computations of measure-preserving dynamical systems
MJ Colbrook
SIAM Journal on Numerical Analysis 61 (3), 1585-1608, 2023
712023
The foundations of spectral computations via the solvability complexity index hierarchy
MJ Colbrook, AC Hansen
Journal of the European Mathematical Society, 2022
67*2022
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
602017
Computing spectral measures and spectral types
MJ Colbrook
Communications in Mathematical Physics, 1-69, 2021
532021
On the computation of geometric features of spectra of linear operators on Hilbert spaces
MJ Colbrook
Foundations of Computational Mathematics 24, 723–804, 2024
512024
The foundations of infinite-dimensional spectral computations
M Colbrook
442020
On the infinite-dimensional QR algorithm
MJ Colbrook, AC Hansen
Numerische Mathematik 143, 17-83, 2019
442019
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
412019
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
362018
The Multiverse of Dynamic Mode Decomposition Algorithms
MJ Colbrook
arXiv preprint arXiv:2312.00137, 2023
352023
Beyond expectations: residual dynamic mode decomposition and variance for stochastic dynamical systems
MJ Colbrook, Q Li, RV Raut, A Townsend
Nonlinear Dynamics 112 (3), 2037-2061, 2024
342024
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
342021
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
322019
Computing semigroups with error control
MJ Colbrook
SIAM Journal on Numerical Analysis 60 (1), 396-422, 2022
262022
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