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math.NA2026
Inverse Scattering for Dirac Equations Arising in Waveguide Arrays
John C. Schotland, Shenwen Yu
We investigate inverse scattering problems for Dirac equations that arise as continuum models of waveguide arrays. We first establish the well-posedness of the forward models. For…
math.NA2025
Optimal-Transport Stability of Inverse Point-Source Problems for Elliptic and Parabolic Equations
Lingyun Qiu, Shenwen Yu
We establish quantitative global stability estimates, formulated in terms of optimal transport (OT) cost, for inverse point-source problems governed by elliptic and parabolic equat…
math.NA2023
Traceability of Water Pollution: An Inversion Scheme Via Dynamic Complex Geometrical Optics Solutions
Lingyun Qiu, Zhongjing Wang, Hui Yu +1
We investigate the identification of the time-dependent source term in the diffusion equation using boundary measurements. This facilitates tracing back the origins of environmenta…