Xiuying Zhang

most citedA low-rank algorithm for solving Lyapunov operator

φ

-functions within the matrix-valued exponential integrators

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.NA2024

Efficient algorithm for the oscillatory matrix functions

Dongping Li, Xue Wang, Xiuying Zhang

This paper introduces an efficient algorithm for computing the general oscillatory matrix functions. These computations are crucial for solving second-order semi-linear initial val…

math.NA2022★ 1 cited

A low-rank algorithm for solving Lyapunov operator $φ$ -functions within the matrix-valued exponential integrators

Dongping Li, Xiuying Zhang, Hongjiong Tian

In this work we present a low-rank algorithm for computing low-rank approximations of large-scale Lyapunov operator $φ$ -functions. These computations play a crucial role in impleme…

math.NA2022

Computing the Lyapunov operator φ-functions, with an application to matrix-valued exponential integrators

Dongping Li, Yue Zhang, Xiuying Zhang

In this paper, we develop efficient and accurate evaluation for the Lyapunov operator function $φ_{l} (L_{A}) [Q],$ where $φ_{l} (\cdot)$ is the function related to the exponentia…

Efficient algorithm for the oscillatory matrix functions

A low-rank algorithm for solving Lyapunov operator φ-functions within the matrix-valued exponential integrators

Computing the Lyapunov operator φ-functions, with an application to matrix-valued exponential integrators

A low-rank algorithm for solving Lyapunov operator $φ$ -functions within the matrix-valued exponential integrators