asymptotic-preserving 1kinetic transport 1low-rank approximation 1multiscale methods 1semi-lagrangian 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.NA2026
An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations
Shun Li, Yan Jiang, Mengping Zhang +1
The paper introduces an asymptotic‑preserving dynamical low‑rank semi‑Lagrangian scheme for multiscale linear kinetic transport equations, achieving stability with large time steps…
math.NA2026
Temporal-Stability-Enhanced and Energy-Stable Dynamical Low-Rank Approximation for Multiscale Linear Kinetic Transport Equations
Shun Li, Yan Jiang, Mengping Zhang +1
In this paper, we develop an asymptotic-preserving dynamical low-rank method for the multiscale linear kinetic transport equation. The proposed scheme is unconditionally stable in…
math.NA2024
High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations
Shun Li, Yan Jiang, Yingda Cheng
In this paper, we develop a low-rank method with high-order temporal accuracy using spectral deferred correction (SDC) to compute linear matrix differential equations. In [1], a lo…