research
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08/18/2023
Damping for fractional wave equations and applications to water waves
Motivated by numerically modeling surface waves for inviscid Euler equat...
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12/25/2022
Escape times for subgraph detection and graph partitioning
We provide a rearrangement based algorithm for fast detection of subgrap...
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08/03/2021
Numerical Algorithms for Water Waves with Background Flow over Obstacles and Topography
We present two accurate and efficient algorithms for solving the incompr...
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03/26/2021
Quantitative bounds on Impedance-to-Impedance operators with applications to fast direct solvers for PDEs
We prove quantitative norm bounds for a family of operators involving im...
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06/25/2020
A metric on directed graphs and Markov chains based on hitting probabilities
The shortest-path, commute time, and diffusion distances on undirected g...
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06/22/2020
A Proximal-Gradient Algorithm for Crystal Surface Evolution
As a counterpoint to recent numerical methods for crystal surface evolut...
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06/28/2019