2 papers
math.NA2026
Adaptive mesh methods for hyperbolic conservation laws with bound-preserving flux limiters
Yaguang Gu, Guanghui Hu, Tao Tang
In this paper, we develop bound-preserving (BP) finite-volume schemes for hyperbolic conservation laws on adaptive moving meshes. For scalar conservative laws, we rewrite the conve…
math.NA2025
A linear unconditionally structure-preserving L1 scheme for the time-fractional Allen-Cahn equation
Dianming Hou, Zhonghua Qiao, Tao Tang
As a variational phase-field model, the time-fractional Allen-Cahn (TFAC) equation enjoys the maximum bound principle (MBP) and a variational energy dissipation law. In this work,…