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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.NA2025
A low-rank algorithm for solving Lyapunov operator -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 -functions. These computations play a crucial role in implem…
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…