2 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.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…