160 citations · 348 across the 22 of their papers we have counts for
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math.NA2022★ 1 cited
Stochastic asymptotical regularization for nonlinear ill-posed problems
Haie Long, Ye Zhang
Recently, the stochastic asymptotical regularization (SAR) has been developed in (\emph{Inverse Problems}, 39: 015007, 2023) for the uncertainty quantification of the stable approx…
math.NA2022★ 1 cited
Asymptotic expansion regularization for inverse source problems in two-dimensional singularly perturbed nonlinear parabolic PDEs
Dmitrii Chaikovskii, Aleksei Liubavin, Ye Zhang
In this paper, we develop an asymptotic expansion-regularization (AER) method for inverse source problems in two-dimensional nonlinear and nonstationary singularly perturbed partia…
math.NA2022★ 31 cited
Stochastic asymptotical regularization for linear inverse problems
Ye Zhang, Chuchu Chen
We introduce Stochastic Asymptotical Regularization (SAR) methods for the uncertainty quantification of the stable approximate solution of ill-posed linear-operator equations, whic…