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math.NA2020
Numerical solution of an inverse random source problem for the time fractional diffusion equation via PhaseLift
Yuxuan Gong, Peijun Li, Xu Wang +1
This paper is concerned with the inverse random source problem for a stochastic time fractional diffusion equation, where the source is assumed to be driven by a Gaussian random fi…
math.NA2020
An inverse spectral problem for a damped wave operator
Gang Bao, Xiang Xu, Jian Zhai
This paper proposes a new and efficient numerical algorithm for recovering the damping coefficient from the spectrum of a damped wave operator, which is a classical Borg-Levinson i…
math.NA2019★ 2 cited
Inversion of trace formulas for a Sturm-Liouville operator
Xiang Xu, Jian Zhai
This paper revisits the classical problem "Can we hear the density of a string?", which can be formulated as an inverse spectral problem for a Sturm-Liouville operator. Based on in…