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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.NA2022
Solving forward and inverse problems in a non-linear 3D PDE via an asymptotic expansion based approach
Dmitrii Chaikovskii, Ye Zhang
This paper concerns the use of asymptotic expansions for the efficient solving of forward and inverse problems involving a nonlinear singularly perturbed time-dependent reaction--d…