Matthew J. Colbrook

According to our database, Matthew J. Colbrook authored at least 30 papers between 2018 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

On the Computation of Geometric Features of Spectra of Linear Operators on Hilbert Spaces.

Matthew J. Colbrook

Found. Comput. Math., June, 2024

Computing Generalized Eigenfunctions in Rigged Hilbert Spaces.

Matthew J. Colbrook, Andrew Horning, Tianyiwa Xie

CoRR, 2024

A Novel Use of Pseudospectra in Mathematical Biology: Understanding HPA Axis Sensitivity.

Catherine Drysdale, Matthew J. Colbrook

CoRR, 2024

Optimal Algorithms for Quantifying Spectral Size with Applications to Quasicrystals.

Matthew J. Colbrook, Mark Embree, Jake Fillman

CoRR, 2024

Limits and Powers of Koopman Learning.

Matthew J. Colbrook, Igor Mezic, Alexei Stepanenko

CoRR, 2024

Multiplicative Dynamic Mode Decomposition.

Nicolas Boullé, Matthew J. Colbrook

CoRR, 2024

Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators.

Matthew J. Colbrook, Catherine Drysdale, Andrew Horning

CoRR, 2024

Another look at Residual Dynamic Mode Decomposition in the regime of fewer Snapshots than Dictionary Size.

Matthew J. Colbrook

CoRR, 2024

On the Convergence of Hermitian Dynamic Mode Decomposition.

Nicolas Boullé, Matthew J. Colbrook

CoRR, 2024

2023

The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems.

Matthew J. Colbrook

SIAM J. Numer. Anal., June, 2023

The Multiverse of Dynamic Mode Decomposition Algorithms.

Matthew J. Colbrook

CoRR, 2023

Beyond expectations: Residual Dynamic Mode Decomposition and Variance for Stochastic Dynamical Systems.

Matthew J. Colbrook, Qin Li, Ryan V. Raut, Alex Townsend

CoRR, 2023

Avoiding discretization issues for nonlinear eigenvalue problems.

Matthew J. Colbrook, Alex Townsend

CoRR, 2023

Restarts subject to approximate sharpness: A parameter-free and optimal scheme for first-order methods.

Ben Adcock, Matthew J. Colbrook, Maksym Neyra-Nesterenko

CoRR, 2023

2022

WARPd: A Linearly Convergent First-Order Primal-Dual Algorithm for Inverse Problems with Approximate Sharpness Conditions.

Matthew J. Colbrook

SIAM J. Imaging Sci., September, 2022

Stratified Sampling Based Compressed Sensing for Structured Signals.

Theresa Loss, Matthew J. Colbrook, Anders C. Hansen

IEEE Trans. Signal Process., 2022

Computing Semigroups with Error Control.

Matthew J. Colbrook

SIAM J. Numer. Anal., 2022

A contour method for time-fractional PDEs and an application to fractional viscoelastic beam equations.

Matthew J. Colbrook, Lorna J. Ayton

J. Comput. Phys., 2022

Residual Dynamic Mode Decomposition: Robust and verified Koopmanism.

Matthew J. Colbrook, Lorna J. Ayton, Máté Szoke

CoRR, 2022

SpecSolve: Spectral methods for spectral measures.

Matthew J. Colbrook, Andrew Horning

CoRR, 2022

2021

Computing Spectral Measures of Self-Adjoint Operators.

Matthew J. Colbrook, Andrew Horning, Alex Townsend

SIAM Rev., 2021

Computing spectral properties of topological insulators without artificial truncation or supercell approximation.

Matthew J. Colbrook, Andrew Horning, Kyle Thicke, Alexander B. Watson

CoRR, 2021

Rigorous data-driven computation of spectral properties of Koopman operators for dynamical systems.

Matthew J. Colbrook, Alex Townsend

CoRR, 2021

WARPd: A linearly convergent first-order method for inverse problems with approximate sharpness conditions.

Matthew J. Colbrook

CoRR, 2021

Can stable and accurate neural networks be computed? - On the barriers of deep learning and Smale's 18th problem.

Vegard Antun, Matthew J. Colbrook, Anders C. Hansen

CoRR, 2021

2020

Pseudoergodic operators and periodic boundary conditions.

Matthew J. Colbrook

Math. Comput., 2020

2019

A Hybrid Analytical-Numerical Technique for Elliptic PDEs.

Matthew J. Colbrook, Thanasis Fokas, Parham Hashemzadeh

SIAM J. Sci. Comput., 2019

On the infinite-dimensional QR algorithm.

Matthew J. Colbrook, Anders C. Hansen

Numerische Mathematik, 2019

Computing Spectral Measures and Spectral Types: New Algorithms and Classifications.

Matthew John Colbrook

CoRR, 2019

2018

On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains.

Matthew J. Colbrook, Natasha Flyer, Bengt Fornberg

J. Comput. Phys., 2018