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ORCIDMatthew J. Colbrook
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Journal Articles
- 2024
[j11]Matthew J. Colbrook:
On the Computation of Geometric Features of Spectra of Linear Operators on Hilbert Spaces. Found. Comput. Math. 24(3): 723-804 (2024)- 2023
- [j10]Matthew J. Colbrook:
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems. SIAM J. Numer. Anal. 61(3): 1585-1608 (2023) - 2022
- [j9]Matthew J. Colbrook
, Lorna J. Ayton:
A contour method for time-fractional PDEs and an application to fractional viscoelastic beam equations. J. Comput. Phys. 454: 110995 (2022) - [j8]Matthew J. Colbrook:
WARPd: A Linearly Convergent First-Order Primal-Dual Algorithm for Inverse Problems with Approximate Sharpness Conditions. SIAM J. Imaging Sci. 15(3): 1539-1575 (2022) - [j7]Matthew J. Colbrook:
Computing Semigroups with Error Control. SIAM J. Numer. Anal. 60(1): 396-422 (2022) - [j6]Theresa Loss, Matthew J. Colbrook, Anders C. Hansen:
Stratified Sampling Based Compressed Sensing for Structured Signals. IEEE Trans. Signal Process. 70: 3530-3539 (2022) - 2021
- [j5]Matthew J. Colbrook, Andrew Horning, Alex Townsend:
Computing Spectral Measures of Self-Adjoint Operators. SIAM Rev. 63(3): 489-524 (2021) - 2020
- [j4]Matthew J. Colbrook:
Pseudoergodic operators and periodic boundary conditions. Math. Comput. 89(322): 737-766 (2020) - 2019
- [j3]Matthew J. Colbrook, Anders C. Hansen:
On the infinite-dimensional QR algorithm. Numerische Mathematik 143(1): 17-83 (2019) - [j2]Matthew J. Colbrook, Thanasis Fokas, Parham Hashemzadeh:
A Hybrid Analytical-Numerical Technique for Elliptic PDEs. SIAM J. Sci. Comput. 41(2): A1066-A1090 (2019) - 2018
- [j1]Matthew J. Colbrook, Natasha Flyer, Bengt Fornberg:
On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains. J. Comput. Phys. 374: 996-1016 (2018)
Informal and Other Publications
- 2024
- [i23]Nicolas Boullé, Matthew J. Colbrook:
On the Convergence of Hermitian Dynamic Mode Decomposition. CoRR abs/2401.03192 (2024) - [i22]Matthew J. Colbrook:
Another look at Residual Dynamic Mode Decomposition in the regime of fewer Snapshots than Dictionary Size. CoRR abs/2403.05891 (2024) - [i21]Matthew J. Colbrook, Catherine Drysdale, Andrew Horning:
Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators. CoRR abs/2405.00782 (2024) - [i20]Nicolas Boullé, Matthew J. Colbrook:
Multiplicative Dynamic Mode Decomposition. CoRR abs/2405.05334 (2024) - [i19]Matthew J. Colbrook, Igor Mezic, Alexei Stepanenko:
Limits and Powers of Koopman Learning. CoRR abs/2407.06312 (2024) - [i18]Matthew J. Colbrook, Mark Embree, Jake Fillman:
Optimal Algorithms for Quantifying Spectral Size with Applications to Quasicrystals. CoRR abs/2407.20353 (2024) - [i17]Catherine Drysdale, Matthew J. Colbrook:
A Novel Use of Pseudospectra in Mathematical Biology: Understanding HPA Axis Sensitivity. CoRR abs/2408.00845 (2024) - 2023
- [i16]Ben Adcock, Matthew J. Colbrook, Maksym Neyra-Nesterenko:
Restarts subject to approximate sharpness: A parameter-free and optimal scheme for first-order methods. CoRR abs/2301.02268 (2023) - [i15]Matthew J. Colbrook, Alex Townsend:
Avoiding discretization issues for nonlinear eigenvalue problems. CoRR abs/2305.01691 (2023) - [i14]Matthew J. Colbrook, Qin Li, Ryan V. Raut, Alex Townsend:
Beyond expectations: Residual Dynamic Mode Decomposition and Variance for Stochastic Dynamical Systems. CoRR abs/2308.10697 (2023) - [i13]Matthew J. Colbrook:
The Multiverse of Dynamic Mode Decomposition Algorithms. CoRR abs/2312.00137 (2023) - 2022
- [i12]Matthew J. Colbrook, Andrew Horning:
SpecSolve: Spectral methods for spectral measures. CoRR abs/2201.01314 (2022) - [i11]Matthew J. Colbrook, Lorna J. Ayton, Máté Szoke:
Residual Dynamic Mode Decomposition: Robust and verified Koopmanism. CoRR abs/2205.09779 (2022) - [i10]Matthew J. Colbrook:
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems. CoRR abs/2209.02244 (2022) - 2021
- [i9]Vegard Antun, Matthew J. Colbrook, Anders C. Hansen:
Can stable and accurate neural networks be computed? - On the barriers of deep learning and Smale's 18th problem. CoRR abs/2101.08286 (2021) - [i8]Matthew J. Colbrook:
Computing semigroups with error control. CoRR abs/2110.06350 (2021) - [i7]Matthew J. Colbrook:
WARPd: A linearly convergent first-order method for inverse problems with approximate sharpness conditions. CoRR abs/2110.12437 (2021) - [i6]Matthew J. Colbrook, Lorna J. Ayton:
A contour method for time-fractional PDEs and an application to fractional viscoelastic beam equations. CoRR abs/2111.13070 (2021) - [i5]Matthew J. Colbrook, Alex Townsend:
Rigorous data-driven computation of spectral properties of Koopman operators for dynamical systems. CoRR abs/2111.14889 (2021) - [i4]Matthew J. Colbrook, Andrew Horning, Kyle Thicke, Alexander B. Watson:
Computing spectral properties of topological insulators without artificial truncation or supercell approximation. CoRR abs/2112.03942 (2021) - 2020
- [i3]Matthew J. Colbrook, Andrew Horning, Alex Townsend:
Computing spectral measures of self-adjoint operators. CoRR abs/2006.01766 (2020) - [i2]Matthew J. Colbrook, Anders C. Hansen:
On the infinite-dimensional QR algorithm. CoRR abs/2011.08172 (2020) - 2019
- [i1]Matthew John Colbrook:
Computing Spectral Measures and Spectral Types: New Algorithms and Classifications. CoRR abs/1908.06721 (2019)
Coauthor Index
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