Dongping Li

activity

20192026

most citedA low-rank algorithm for solving Lyapunov operator

φ

-functions within the matrix-valued exponential integrators

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

math.NA2026

Adaptive low-rank exponential integrators for large-scale differential Riccati equation

Jinyi Li, Dongping Li, Hua Yang

Matrix differential Riccati equation (DRE) typically exhibits transient and steady-state phases, posing challenges for fixed-step time integration methods, which may lack accuracy…

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…

math.NA2021

Efficient and accurate computation to the $φ$ -function and its action on a vector

Siyu Yang, Dongping Li

In this paper, we develop efficient and accurate algorithms for evaluating $φ (A)$ and $φ (A) b$ , where $A$ is an $N \times N$ matrix, $b$ is an $N$ dimensional vector and $φ$ is the f…

math.NA2019

Exponential integrators for large-scale stiff matrix Riccati differential equations