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math.NA2024
Simultaneously reconstructing potentials and internal sources for fractional Schrödinger equations
Xinyan Li
The inverse problems about fractional Calderón problem and fractional Schrödinger equations are of interest in the study of mathematics. In this paper, we propose the inverse probl…
math.NA2024
A numerical method for reconstructing the potential in fractional Calderón problem with a single measurement
Xinyan Li
In this paper, we develop a numerical method for determining the potential in one and two dimensional fractional Calderón problems with a single measurement. Finite difference sche…
math.NA2024
Regularization of linear inverse problems with irregular noise using embedding operators
Xinyan Li, Simon Hubmer, Shuai Lu +1
In this paper, we investigate regularization of linear inverse problems with irregular noise. In particular, we consider the case that the noise can be preprocessed by certain adjo…