Matthew J. Colbrook

Publication Activity (10 Years)

Years Active: 2018-2024
Publications (10 Years): 32

Top Topics

Dynamical Systems

Top Venues

J. Comput. Phys.

SIAM J. Numer. Anal.

SIAM J. Imaging Sci.

Publications

Matthew J. Colbrook, Catherine Drysdale, Andrew Horning
Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators. CoRR (2024)
Nicolas Boullé, Matthew J. Colbrook
On the Convergence of Hermitian Dynamic Mode Decomposition. CoRR (2024)
Matthew J. Colbrook, Igor Mezic, Alexei Stepanenko
Limits and Powers of Koopman Learning. CoRR (2024)
Matthew J. Colbrook
Another look at Residual Dynamic Mode Decomposition in the regime of fewer Snapshots than Dictionary Size. CoRR (2024)
Matthew J. Colbrook, Mark Embree, Jake Fillman
Optimal Algorithms for Quantifying Spectral Size with Applications to Quasicrystals. CoRR (2024)
Matthew J. Colbrook
On the Computation of Geometric Features of Spectra of Linear Operators on Hilbert Spaces. Found. Comput. Math. 24 (3) (2024)
Nicolas Boullé, Matthew J. Colbrook
Multiplicative Dynamic Mode Decomposition. CoRR (2024)
Matthew J. Colbrook, Qin Li, Ryan V. Raut, Alex Townsend
Beyond expectations: Residual Dynamic Mode Decomposition and Variance for Stochastic Dynamical Systems. CoRR (2023)
Matthew J. Colbrook
The Multiverse of Dynamic Mode Decomposition Algorithms. CoRR (2023)
Ben Adcock, Matthew J. Colbrook, Maksym Neyra-Nesterenko
Restarts subject to approximate sharpness: A parameter-free and optimal scheme for first-order methods. CoRR (2023)
Matthew J. Colbrook, Alex Townsend
Avoiding discretization issues for nonlinear eigenvalue problems. CoRR (2023)
Matthew J. Colbrook
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems. SIAM J. Numer. Anal. 61 (3) (2023)
Matthew J. Colbrook, Lorna J. Ayton, Máté Szoke
Residual Dynamic Mode Decomposition: Robust and verified Koopmanism. CoRR (2022)
Matthew J. Colbrook, Andrew Horning
SpecSolve: Spectral methods for spectral measures. CoRR (2022)
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) (2022)
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 (2022)
Theresa Loss, Matthew J. Colbrook, Anders C. Hansen
Stratified Sampling Based Compressed Sensing for Structured Signals. IEEE Trans. Signal Process. 70 (2022)
Matthew J. Colbrook
Computing Semigroups with Error Control. SIAM J. Numer. Anal. 60 (1) (2022)
Matthew J. Colbrook
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems. CoRR (2022)
Matthew J. Colbrook, Lorna J. Ayton
A contour method for time-fractional PDEs and an application to fractional viscoelastic beam equations. CoRR (2021)
Matthew J. Colbrook
WARPd: A linearly convergent first-order method for inverse problems with approximate sharpness conditions. CoRR (2021)
Matthew J. Colbrook, Andrew Horning, Kyle Thicke, Alexander B. Watson
Computing spectral properties of topological insulators without artificial truncation or supercell approximation. CoRR (2021)
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 (2021)
Matthew J. Colbrook
Computing semigroups with error control. CoRR (2021)
Matthew J. Colbrook, Andrew Horning, Alex Townsend
Computing Spectral Measures of Self-Adjoint Operators. SIAM Rev. 63 (3) (2021)
Matthew J. Colbrook, Alex Townsend
Rigorous data-driven computation of spectral properties of Koopman operators for dynamical systems. CoRR (2021)
Matthew J. Colbrook, Anders C. Hansen
On the infinite-dimensional QR algorithm. CoRR (2020)
Matthew J. Colbrook, Andrew Horning, Alex Townsend
Computing spectral measures of self-adjoint operators. CoRR (2020)
Matthew J. Colbrook
Pseudoergodic operators and periodic boundary conditions. Math. Comput. 89 (322) (2020)
Matthew J. Colbrook, Thanasis Fokas, Parham Hashemzadeh
A Hybrid Analytical-Numerical Technique for Elliptic PDEs. SIAM J. Sci. Comput. 41 (2) (2019)
Matthew J. Colbrook, Anders C. Hansen
On the infinite-dimensional QR algorithm. Numerische Mathematik 143 (1) (2019)
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 (2018)