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08/21/2023
Beyond expectations: Residual Dynamic Mode Decomposition and Variance for Stochastic Dynamical Systems
Koopman operators linearize nonlinear dynamical systems, making their sp...
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05/02/2023
Avoiding discretization issues for nonlinear eigenvalue problems
The first step when solving an infinite-dimensional eigenvalue problem i...
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01/05/2023
Restarts subject to approximate sharpness: A parameter-free and optimal scheme for first-order methods
Sharpness is an almost generic assumption in continuous optimization tha...
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09/06/2022
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems
Koopman operators globally linearize nonlinear dynamical systems and the...
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05/19/2022
Residual Dynamic Mode Decomposition: Robust and verified Koopmanism
Dynamic Mode Decomposition (DMD) describes complex dynamic processes thr...
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01/04/2022
SpecSolve: Spectral methods for spectral measures
Self-adjoint operators on infinite-dimensional spaces with continuous sp...
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12/07/2021
Computing spectral properties of topological insulators without artificial truncation or supercell approximation
Topological insulators (TIs) are renowned for their remarkable electroni...
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11/29/2021
Rigorous data-driven computation of spectral properties of Koopman operators for dynamical systems
Koopman operators are infinite-dimensional operators that globally linea...
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11/25/2021
A contour method for time-fractional PDEs and an application to fractional viscoelastic beam equations
We develop a rapid and accurate contour method for the solution of time-...
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10/24/2021
WARPd: A linearly convergent first-order method for inverse problems with approximate sharpness conditions
Reconstruction of signals from undersampled and noisy measurements is a ...
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10/12/2021
Computing semigroups with error control
We develop an algorithm that computes strongly continuous semigroups on ...
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01/20/2021
Can stable and accurate neural networks be computed? – On the barriers of deep learning and Smale's 18th problem
Deep learning (DL) has had unprecedented success and is now entering sci...
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11/16/2020
On the infinite-dimensional QR algorithm
Spectral computations of infinite-dimensional operators are notoriously ...
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06/02/2020
Computing spectral measures of self-adjoint operators
Using the resolvent operator, we develop an algorithm for computing smoo...
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09/20/2018