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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.NA2020★ 1 cited
Two new non-negativity preserving iterative regularization methods for ill-posed inverse problems
Ye Zhang, Bernd Hofmann
Many inverse problems are concerned with the estimation of non-negative parameter functions. In this paper, in order to obtain non-negative stable approximate solutions to ill-pose…