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math.NA2024
On the Continuity of Schur-Horn Mapping
Hengzhun Chen, Yingzhou Li
The Schur-Horn theorem is a well-known result that characterizes the relationship between the diagonal elements and eigenvalues of a symmetric (Hermitian) matrix. In this paper, we…
math.NA2024
Frozen Gaussian approximation for the fractional Schrödinger equation
Lihui Chai, Hengzhun Chen, Xu Yang
We develop a refined Frozen Gaussian approximation (FGA) for the fractional Schrödinger equation in the semi-classical regime, where the solution exhibits rapid oscillations as the…