2 papers
math.NA2026
Low-cost non-iterative Sylvester solvers for dynamical low-rank approximation of reaction-diffusion equations
Joy Saha, Jun Yang, Peimeng Yin
In this work, we develop low-cost non-iterative Sylvester solvers for dynamical low-rank approximation of reaction-diffusion equations and incorporate them into a basis-update \& G…
math.NA2025
A second-order dynamical low-rank mass-lumped finite element method for the Allen-Cahn equation
Jun Yang, Nianyu Yi, Peimeng Yin
In this paper, we propose a novel second-order dynamical low-rank mass-lumped finite element method for solving the Allen-Cahn (AC) equation, a semilinear parabolic partial differe…