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06/29/2023
Why Shallow Networks Struggle with Approximating and Learning High Frequency: A Numerical Study
In this work, a comprehensive numerical study involving analysis and exp...
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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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06/10/2022
How much can one learn from a single solution of a PDE?
Linear evolution PDE ∂_t u(x,t) = -ℒ u, where ℒ is a strongly elliptic o...
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04/10/2022
How much can one learn a partial differential equation from its solution?
In this work we study the problem about learning a partial differential ...
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12/22/2020
Quantitative PAT with simplified P_N approximation
The photoacoustic tomography (PAT) is a hybrid modality that combines th...
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01/27/2020
A fast algorithm for time-dependent radiative transport equation based on integral formulation
In this work, we introduce a fast numerical algorithm to solve the time-...
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08/27/2019
Separability of the kernel function in an integral formulation for anisotropic radiative transfer equation
We study in this work an integral formulation for the radiative transfer...
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05/01/2018