Matthew J. Colbrook

45 papers Journal 45

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Bridging the Gap Between Koopmanism and Response Theory: Using Natural Variability to Predict Forced Response. SIAM J. Appl. Dyn. Syst. Niccolò Zagli, Matthew J. Colbrook, Valerio Lucarini, Igor Mezic, John Moroney
2026	J	`jnl`	Trustworthy Koopman Operator Learning: Invariance Diagnostics and Error Bounds. CoRR Gustav Conradie, Nicolas Boullé, Jean-Christophe Loiseau, Steven L. Brunton, Matthew J. Colbrook
2025	J	`jnl`	An Introductory Guide to Koopman Learning. CoRR Matthew J. Colbrook, Zlatko Drmac, Andrew Horning
2025	J	`jnl`	Avoiding Discretization Issues for Nonlinear Eigenvalue Problems. SIAM J. Matrix Anal. Appl. Matthew J. Colbrook, Alex Townsend
2025	J	`jnl`	Avoiding spectral pollution for transfer operators using residuals. CoRR April Herwig, Matthew J. Colbrook, Oliver Junge, Péter Koltai, Julia Slipantschuk
2025	J	`jnl`	Convergent Methods for Koopman Operators on Reproducing Kernel Hilbert Spaces. CoRR Nicolas Boullé, Matthew J. Colbrook, Gustav Conradie
2025	J	`jnl`	Deep greedy unfolding: Sorting out argsorting in greedy sparse recovery algorithms. CoRR Sina Mohammad-Taheri, Matthew J. Colbrook, Simone Brugiapaglia
2025	J	`jnl`	Multiplicative Dynamic Mode Decomposition. SIAM J. Appl. Dyn. Syst. Nicolas Boullé, Matthew J. Colbrook
2025	J	`jnl`	Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators. SIAM J. Appl. Dyn. Syst. Matthew J. Colbrook, Catherine Drysdale, Andrew Horning
2025	J	`jnl`	Universal Methods for Nonlinear Spectral Problems. CoRR Matthew J. Colbrook, Catherine Drysdale
2025	J	`jnl`	Weighted Birkhoff Averages Accelerate Data-Driven Methods. CoRR Maria Bou-Sakr-El-Tayar, Jason J. Bramburger, Matthew J. Colbrook
2024	J	`jnl`	A Novel Use of Pseudospectra in Mathematical Biology: Understanding HPA Axis Sensitivity. CoRR Catherine Drysdale, Matthew J. Colbrook
2024	J	`jnl`	Another look at Residual Dynamic Mode Decomposition in the regime of fewer Snapshots than Dictionary Size. CoRR Matthew J. Colbrook
2024	J	`jnl`	Computing Generalized Eigenfunctions in Rigged Hilbert Spaces. CoRR Matthew J. Colbrook, Andrew J. Horning, Tianyiwa Xie
2024	J	`jnl`	Limits and Powers of Koopman Learning. CoRR Matthew J. Colbrook, Igor Mezic, Alexei Stepanenko
2024	J	`jnl`	Multiplicative Dynamic Mode Decomposition. CoRR Nicolas Boullé, Matthew J. Colbrook
2024	J	`jnl`	On the Computation of Geometric Features of Spectra of Linear Operators on Hilbert Spaces. Found. Comput. Math. Matthew J. Colbrook
2024	J	`jnl`	On the Convergence of Hermitian Dynamic Mode Decomposition. CoRR Nicolas Boullé, Matthew J. Colbrook
2024	J	`jnl`	Optimal Algorithms for Quantifying Spectral Size with Applications to Quasicrystals. CoRR Matthew J. Colbrook, Mark Embree, Jake Fillman
2024	J	`jnl`	Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators. CoRR Matthew J. Colbrook, Catherine Drysdale, Andrew J. Horning
2023	J	`jnl`	Avoiding discretization issues for nonlinear eigenvalue problems. CoRR Matthew J. Colbrook, Alex Townsend
2023	J	`jnl`	Beyond expectations: Residual Dynamic Mode Decomposition and Variance for Stochastic Dynamical Systems. CoRR Matthew J. Colbrook, Qin Li, Ryan V. Raut, Alex Townsend
2023	J	`jnl`	Restarts subject to approximate sharpness: A parameter-free and optimal scheme for first-order methods. CoRR Ben Adcock, Matthew J. Colbrook, Maksym Neyra-Nesterenko
2023	J	`jnl`	The Multiverse of Dynamic Mode Decomposition Algorithms. CoRR Matthew J. Colbrook
2023	J	`jnl`	The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems. SIAM J. Numer. Anal. Matthew J. Colbrook
2022	J	`jnl`	A contour method for time-fractional PDEs and an application to fractional viscoelastic beam equations. J. Comput. Phys. Matthew J. Colbrook, Lorna J. Ayton
2022	J	`jnl`	Computing Semigroups with Error Control. SIAM J. Numer. Anal. Matthew J. Colbrook
2022	J	`jnl`	Residual Dynamic Mode Decomposition: Robust and verified Koopmanism. CoRR Matthew J. Colbrook, Lorna J. Ayton, Máté Szoke
2022	J	`jnl`	SpecSolve: Spectral methods for spectral measures. CoRR Matthew J. Colbrook, Andrew Horning
2022	J	`jnl`	Stratified Sampling Based Compressed Sensing for Structured Signals. IEEE Trans. Signal Process. Theresa Loss, Matthew J. Colbrook, Anders C. Hansen
2022	J	`jnl`	The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems. CoRR Matthew J. Colbrook
2022	J	`jnl`	WARPd: A Linearly Convergent First-Order Primal-Dual Algorithm for Inverse Problems with Approximate Sharpness Conditions. SIAM J. Imaging Sci. Matthew J. Colbrook
2021	J	`jnl`	A contour method for time-fractional PDEs and an application to fractional viscoelastic beam equations. CoRR Matthew J. Colbrook, Lorna J. Ayton
2021	J	`jnl`	Can stable and accurate neural networks be computed? - On the barriers of deep learning and Smale's 18th problem. CoRR Vegard Antun, Matthew J. Colbrook, Anders C. Hansen
2021	J	`jnl`	Computing Spectral Measures of Self-Adjoint Operators. SIAM Rev. Matthew J. Colbrook, Andrew J. Horning, Alex Townsend
2021	J	`jnl`	Computing semigroups with error control. CoRR Matthew J. Colbrook
2021	J	`jnl`	Computing spectral properties of topological insulators without artificial truncation or supercell approximation. CoRR Matthew J. Colbrook, Andrew Horning, Kyle Thicke, Alexander B. Watson
2021	J	`jnl`	Rigorous data-driven computation of spectral properties of Koopman operators for dynamical systems. CoRR Matthew J. Colbrook, Alex Townsend
2021	J	`jnl`	WARPd: A linearly convergent first-order method for inverse problems with approximate sharpness conditions. CoRR Matthew J. Colbrook
2020	J	`jnl`	Computing spectral measures of self-adjoint operators. CoRR Matthew J. Colbrook, Andrew Horning, Alex Townsend
2020	J	`jnl`	On the infinite-dimensional QR algorithm. CoRR Matthew J. Colbrook, Anders C. Hansen
2020	J	`jnl`	Pseudoergodic operators and periodic boundary conditions. Math. Comput. Matthew J. Colbrook
2019	J	`jnl`	A Hybrid Analytical-Numerical Technique for Elliptic PDEs. SIAM J. Sci. Comput. Matthew J. Colbrook, Thanasis Fokas, Parham Hashemzadeh
2019	J	`jnl`	On the infinite-dimensional QR algorithm. Numerische Mathematik Matthew J. Colbrook, Anders C. Hansen
2018	J	`jnl`	On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains. J. Comput. Phys. Matthew J. Colbrook, Natasha Flyer, Bengt Fornberg