A new low-rank multilevel Monte Carlo estimator is developed for kinetic equations by combining probabilistic rank-adaptive DLRA with spatial refinement such that low-rank error stays below discretization error, and its performance is shown on numerical tests from radiation transport, therapy, and s
Structure and asymptotic pre- serving deep neural surrogates for uncertainty quantification in multiscale kinetic equations, June 2025
2 Pith papers cite this work. Polarity classification is still indexing.
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PINN study of BGK shocks identifies anisotropic tail-weighted observability failure in fourth-order closure R_xx^cl and shows a shock-local correction reduces its relative error to 0.112 using DVM validation.
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Tail observability and fourth-order closure recovery in physics-informed neural networks for Bhatnagar-Gross-Krook normal shocks
PINN study of BGK shocks identifies anisotropic tail-weighted observability failure in fourth-order closure R_xx^cl and shows a shock-local correction reduces its relative error to 0.112 using DVM validation.