Le Gong

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20222024

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math.DS2024

Reconstruction algorithms for source term recovery from dynamical samples in catalyst models

Akram Aldroubi, Le Gong, Ilya Krishtal +2

This paper investigates the problem of recovering source terms in abstract initial value problems (IVP) commonly used to model various scientific phenomena in physics, chemistry, e…

math.DS2022

Recovery of rapidly decaying source terms from dynamical samples in evolution equations

Akram Aldroubi, Le Gong, Ilya Krishtal

We analyze the problem of recovering a source term of the form $h (t) = \sum_{j} h_{j} ϕ (t - t_{j}) χ_{[t_{j}, \infty)} (t)$ from space-time samples of the solution $u$ of an initial value proble…