Dongping Li

activity

20192022

collaborators

3 papers

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

Dongping Li

Matrix Riccati differential equations arise in many different areas and are particular important within the field of control theory. In this paper we consider numerical integration…

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

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

Exponential integrators for large-scale stiff matrix Riccati differential equations

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