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04/26/2023
Leapfrog methods for relativistic charged-particle dynamics
A basic leapfrog integrator and its energy-preserving and variational / ...
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04/12/2023
A parallel rank-adaptive integrator for dynamical low-rank approximation
This work introduces a parallel and rank-adaptive matrix integrator for ...
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06/19/2022
Rank-1 matrix differential equations for structured eigenvalue optimization
A new approach to solving eigenvalue optimization problems for large str...
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05/25/2022
On a large-stepsize integrator for charged-particle dynamics
Xiao and Qin [Computer Physics Comm., 265:107981, 2021] recently propose...
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01/25/2022
Rank-adaptive time integration of tree tensor networks
A rank-adaptive integrator for the approximate solution of high-order te...
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04/12/2021
A rank-adaptive robust integrator for dynamical low-rank approximation
A rank-adaptive integrator for the dynamical low-rank approximation of m...
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03/16/2021
Time-dependent electromagnetic scattering from thin layers
The scattering of electromagnetic waves from obstacles with wave-materia...
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01/25/2021
Large-stepsize integrators for charged-particle dynamics over multiple time scales
The Boris algorithm, a closely related variational integrator and a newl...
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10/29/2020
A passivation algorithm for linear time-invariant systems
We propose and study an algorithm for computing a nearest passive system...
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10/02/2020
An unconventional robust integrator for dynamical low-rank approximation
We propose and analyse a numerical integrator that computes a low-rank a...
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07/30/2020
A convergent evolving finite element algorithm for Willmore flow of closed surfaces
A proof of convergence is given for a novel evolving surface finite elem...
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05/28/2020
Time-dependent acoustic scattering from generalized impedance boundary conditions via boundary elements and convolution quadrature
Generalized impedance boundary conditions are effective, approximate bou...
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02/26/2020
Time integration of tree tensor networks
Dynamical low-rank approximation by tree tensor networks is studied for ...
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02/03/2020
Computing quantum dynamics in the semiclassical regime
The semiclassically scaled time-dependent multi-particle Schrödinger equ...
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12/11/2019
A convergent algorithm for mean curvature flow driven by diffusion on the surface
The evolution of a closed two-dimensional surface driven by both mean cu...
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07/17/2019