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09/03/2023
Stabilization of parareal algorithms for long time computation of a class of highly oscillatory Hamiltonian flows using data
Applying parallel-in-time algorithms to multiscale Hamiltonian systems t...
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07/05/2023
Linear Regression on Manifold Structured Data: the Impact of Extrinsic Geometry on Solutions
In this paper, we study linear regression applied to data structured on ...
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10/07/2022
Corrected Trapezoidal Rule-IBIM for linearized Poisson-Boltzmann equation
In this paper, we solve the linearized Poisson-Boltzmann equation, used ...
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08/17/2022
Convergence of a class of high order corrected trapezoidal rules
We present convergence theory for corrected quadrature rules on uniform ...
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03/09/2022
High order corrected trapezoidal rules for a class of singular integrals
We present a family of high order trapezoidal rule-based quadratures for...
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03/01/2022
Side-effects of Learning from Low Dimensional Data Embedded in an Euclidean Space
The low dimensional manifold hypothesis posits that the data found in ma...
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07/28/2021
Numerical wave propagation aided by deep learning
We propose a deep learning approach for wave propagation in media with m...
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07/03/2021
Corrected trapezoidal rules for singular implicit boundary integrals
We present new higher-order quadratures for a family of boundary integra...
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11/18/2019
Strategy Synthesis for Surveillance-Evasion Games with Learning-Enabled Visibility Optimization
This paper studies a two-player game with a quantitative surveillance re...
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04/23/2015