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01/25/2023
Mathematical approaches for characterization, control, calibration and validation of a quantum computing device
Quantum computing has received significant amounts of interest from many...
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11/09/2022
A micro-macro decomposed reduced basis method for the time-dependent radiative transfer equation
Kinetic transport equations are notoriously difficult to simulate becaus...
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04/12/2022
Universal AMG Accelerated Embedded Boundary Method Without Small Cell Stiffness
We develop a universally applicable embedded boundary finite difference ...
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05/30/2021
A learning-based projection method for model order reduction of transport problems
The Kolmogorov n-width of the solution manifolds of transport-dominated ...
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03/27/2021
EM-WaveHoltz: A flexible frequency-domain method built from time-domain solvers
A novel approach to computing time-harmonic solutions of Maxwell's equat...
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03/12/2021
A reduced basis method for radiative transfer equation
Linear kinetic transport equations play a critical role in optical tomog...
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06/12/2020
Asymptotic preserving IMEX-DG-S schemes for linear kinetic transport equations based on Schur complement
We consider a linear kinetic transport equation under a diffusive scalin...
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05/11/2020
Stability-enhanced AP IMEX1-LDG method: energy-based stability and rigorous AP property
In our recent work [22], a family of high order asymptotic preserving (A...
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01/13/2020